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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Mon Oct 13, 2008 10:57 pm Post subject: ... and ?? sink |
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| Code: | +-------+-------+-------+
| . . 1 | . 2 . | 3 . . |
| . 2 . | . 4 . | . 5 . |
| 6 . . | 3 . 7 | . . 1 |
+-------+-------+-------+
| . . 8 | . . . | 5 . . |
| 2 7 . | . . . | . 4 8 |
| . . 4 | . . . | 1 . . |
+-------+-------+-------+
| 8 . . | 2 . 9 | . . 5 |
| . 5 . | . 8 . | . 1 . |
| . . 2 | . 7 . | 8 . . |
+-------+-------+-------+SE 6.8 by JPF |
| Code: | .------------------------.------------------------.------------------------.
| 4579 489 1 | 569 2 56 | 3 789 479 |
| 379 2 379 | 18 4 18 | 679 5 679 |
| 6 48 59 | 3 59 7 | 24 28 1 |
:------------------------+------------------------+------------------------:
| 139 1369 8 | 47 369 24 | 5 23679 23679 |
| 2 7 3569 | 1569 13569 1356 | 69 4 8 |
| 359 369 4 | 78 3569 28 | 1 23679 23679 |
:------------------------+------------------------+------------------------:
| 8 1346 367 | 2 136 9 | 467 367 5 |
| 3479 5 3679 | 46 8 346 | 24679 1 234679 |
| 1349 13469 2 | 1456 7 13456 | 8 369 3469 |
'------------------------'------------------------'------------------------'SE 6.8 |
a puzzle from the patterns game. definitely one for a lazy afternoon without anything else to do... oh yeah and start early in the afternoon. make sure and schedule breaks for eating, etc.  |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Oct 14, 2008 6:25 am Post subject: |
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This puzzle is like a hike in the mountains - with steep ascent, dangerous narrow passages, and long stretches without water ...
After an initial coloring elimination, which removed 5 from r3c5, the clutter of candidates was reduced considerably, and after a UR (56) type 4, which removed 6 from r9c46, another almost-UR (79) pointed to a x-wing (9). This is where I started looking for more coloring and/or m/w-wings:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 479 489 1 | 56 2 56 | 3 789 479 |
| 3 2 79 | 1 4 8 | 79 5 6 |
| 6 48 5 | 3 9 7 | 24 28 1 |
+--------------------------+--------------------------+--------------------------+
| 19 169 8 | 7 36 4 | 5 239 239 |
| 2 7 3 | 9 5 1 | 6 4 8 |
| 5 69 4 | 8 36 2 | 1 379 379 |
+--------------------------+--------------------------+--------------------------+
| 8 34 6 | 2 1 9 | 47 37 5 |
| 47 5 79 | 46 8 36 | 249 1 234 |
| 149 1349 2 | 45 7 35 | 8 6 349 |
+--------------------------+--------------------------+--------------------------+
|
There is now an x-wing (4) in rows 3 and 7, and with 4 gone from r1c2, an xyz-wing 89-789-79.
Now 9 is gone from r1c9 and there is a m-wing (7) r1c9=r2c7 via the strong link on (4) in col 7:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 479 89 1 | 56 2 56 | 3 -789 47* |
| 3 2 79 | 1 4 8 | 79 5 6 |
| 6 48 5 | 3 9 7 | 24# 28 1 |
+--------------------------+--------------------------+--------------------------+
| 19 169 8 | 7 36 4 | 5 239 239 |
| 2 7 3 | 9 5 1 | 6 4 8 |
| 5 69 4 | 8 36 2 | 1 379 379 |
+--------------------------+--------------------------+--------------------------+
| 8 34 6 | 2 1 9 | 47# 37* 5 |
| 47 5 79 | 46 8 36 | 29 1 234 |
| 149 139 2 | 45 7 35 | 8 6 349 |
+--------------------------+--------------------------+--------------------------+
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A bit of cleanup, another UR type 4 (19), and coloring on 9 leads to another m-wing situation:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 47 89 1 | 56 2 56 | 3 89# 4-7 |
| 3 2 79 | 1 4 8 | 79* 5 6 |
| 6 48 5 | 3 9 7 | 24 28 1 |
+--------------------------+--------------------------+--------------------------+
| 19 16 8 | 7 36 4 | 5 23 239 |
| 2 7 3 | 9 5 1 | 6 4 8 |
| 5 69 4 | 8 36 2 | 1 379# 37a |
+--------------------------+--------------------------+--------------------------+
| 8 34 6 | 2 1 9 | 4-7 37b 5 |
| 47 5 79 | 46 8 36 | 29 1 234 |
| 19 13 2 | 45 7 35 | 8 6 349 |
+--------------------------+--------------------------+--------------------------+
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Two overlapping m-wings (7) r2c7=r6c9 (a) and (7) r2c7=r7c8 (b), both via sl on (9) in col 8, eliminate 7 from r7c7 and r1c9, resp. and finally solve the puzzle. |
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ravel
Joined: 21 Apr 2006
Posts: 536
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| Posted: Tue Oct 14, 2008 8:35 pm Post subject: |
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I am happy, that another one of the solvers community appreciates the Pattern Games thread. In industry the quality, they bring for free, would be paid very good - but bad qualiity 10 times better 
This puzzle is well selected. I did not make notes, but i think, i used 8 advanced methods, including the 19 UR (deleting 2 9's) and a 4-cell xy-chain (generalized, extended, grouped ?? xy-wing).
There is only a small way between addiction and fun, and i used to miss it |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue Oct 14, 2008 8:50 pm Post subject: |
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Did anyone else find the hidden quad?
excellent puzzle  .... I am still trying to simplify it but can't. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Tue Oct 14, 2008 10:07 pm Post subject: |
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Not an easy puzzle ... even for my solver with my assistance.
| Code: | Hidden Quad
X- Wing (4)
Kite/ER (5)
X- Wing (9)
XY -Wing (76-47-46)
XYZ-Wing (89-789-79)
(19) UR [r49c12] => [r6c9],[r9c2]<>9 (my assistance)
+-----------------------------------------------------+
| 479 89 1 | 56 2 56 | 3 789 47 |
| 3 2 79 | 1 4 8 | 79 5 6 |
| 6 48 5 | 3 9 7 | 24 28 1 |
|-----------------+-----------------+-----------------|
| 19 19+6 8 | 7 36 4 | 5 239 239 |
| 2 7 3 | 9 5 1 | 6 4 8 |
| 5 69 4 | 8 36 2 | 1 379 379 |
|-----------------+-----------------+-----------------|
| 8 34 6 | 2 1 9 | 47 37 5 |
| 47 5 79 | 46 8 36 | 29 1 234 |
| 19+4 19+3 2 | 45 7 35 | 8 6 349 |
+-----------------------------------------------------+
XY-Chain -4r1c9 7r1c9 3r6c9 6r6c5 9r6c2 8r1c2 4r3c2 => [r1c1],[r3c7]<>4
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Explanation of (19) UR [r49c12]:
| Code: | [r4c2]= 6 => [r6c2]=9 => [r6c9],[r9c2]<>9
[r4c2]<>6 => UR Type 3 => [r9c9]<>345 => [r9c9]=9 => [r6c9],[r9c2]<>9
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Note: If ronk is following this forum, he'll be blown away to see that I finally learned to spot a UR Type 3.
[Edit: corrected a typo in XYZ-Wing during first transcription.]
Last edited by daj95376 on Wed Oct 15, 2008 3:16 am; edited 1 time in total |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Oct 14, 2008 11:00 pm Post subject: |
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| Quote: | | I am happy, that another one of the solvers community appreciates the Pattern Games thread |
Ravel,
it wasn't until you mentioned them that I took notice. so I went through a good hundred of them and determined most of the 6.7 - 6.9 are the most fun. in fact the patterns game is notorious for providing puzzles in which the first step, out of the gate, is difficult.
and... for the 6.7 - 6.9 ratings,
if the first step is not difficult then the puzzle requires an endless assault of these well known techniques.
having said all that, I still have an affinity for the puzzles that I can blast in one step. go figure. therefore I find it all the more fascnating that a puzzle like the one above requires all that it does. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Nov 11, 2008 1:18 am Post subject: |
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| Code: |
+-------+-------+-------+
| . . 1 | 2 . . | . . . |
| . 3 . | . . 4 | 2 . . |
| 5 . . | . . . | . 6 . |
+-------+-------+-------+
| 7 . . | 5 . . | . 1 . |
| . . . | . . . | . . 2 |
| . 4 . | . . 8 | . . 3 |
+-------+-------+-------+
| . 8 . | . . . | . . 7 |
| . . 9 | 6 . . | . . . |
| . . . | . 3 2 | 4 . . |
+-------+-------+-------+
|
Play this puzzle online
| Code: |
+-------+-------+-------+
| . . 1 | 2 . . | . . . |
| . 3 . | . . 4 | 1 . . |
| 5 . . | . . . | . 2 . |
+-------+-------+-------+
| 6 . . | 5 . . | . 7 . |
| . . . | . . . | . . 6 |
| . 4 . | . . 3 | . . 5 |
+-------+-------+-------+
| . 6 . | . . . | . . 4 |
| . . 7 | 1 . . | . . . |
| . . . | . 8 9 | 6 . . |
+-------+-------+-------+
|
Play this puzzle online
the solution paths are so close that they had to be put together. the links will load them into draw/play...even with draw/play help, they will prove formidable. and to give proper credit, the top was posted by m_b_metcalf and is 6.9 SE. and the bottom by Mauricio is 6.8 SE. |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue Nov 11, 2008 2:18 am Post subject: |
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The bottom one:
| Code: | *-----------------------------------------------------------------------------*
| 4789 789 1 | 2 35679 5678 | 345789 345689 3789 |
| 2789 3 2689 | 6789 5679 4 | 1 5689 789 |
| 5 789 *4689 | 36789 13679 1678 |*34789 2 3789 |
|-------------------------+-------------------------+-------------------------|
| 6 1289 2389 | 5 *1249 128 |*23489 7 12389 |
| 123789 125789 23589 | 4789 12479 1278 | 23489 13489 6 |
| 12789 4 289 | 6789 12679 3 | 289 189 5 |
|-------------------------+-------------------------+-------------------------|
| 12389 6 23589 | 37 2357 257 | 235789 13589 4 |
|#23489 2589 7 | 1 *23456 256 | 23589 3589 2389 |
| 1234 125 235-4 | 347 8 9 | 6 135 1237 |
*-----------------------------------------------------------------------------*
finned swordfish
later after a kite
*-----------------------------------------------------------*
| 89 7 1 | 2 39 5 | 4 6 389 |
| 2 3 6 |#789 #79 4 | 1 5 89 |
| 5 89 4 | 389 6 1 | 7 2 389 |
|-------------------+-------------------+-------------------|
| 6 2 39 | 5 4 8 | 39 7 1 |
| 38 1 5 |#79 #*279 *27 | 38 4 6 |
| 7 4 89 | 6 1 3 | 2 89 5 |
|-------------------+-------------------+-------------------|
| 1389 6 38 | 37 *2357 *27 | 59 1389 4 |
| 4 89 7 | 1 35 6 | 589 389 2 |
| 13 5 2 | 4 8 9 | 6 13 7 |
*-----------------------------------------------------------*
Overlapping ur's
if r2c5=9 then 27's are a DP => r2c5=7 =>r5c4=7 |
I will tackle the top tomorrow  |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Tue Nov 11, 2008 8:14 am Post subject: |
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Here is the top one: | Code: | *-----------------------------------------------------------------------------*
| 4689 679 1 | 2 56789 35679 | 35789 345789 4589 |
| 689 3 678 | 1789 156789 4 | 2 5789 1589 |
| 5 279 *2478 | 13789 1789 1379 | 13789 6 *1489 |
|-------------------------+-------------------------+-------------------------|
| 7 269 2368 | 5 2469 369 | 689 1 *4689 |
| 13689 1569 3568 | 13479 *14679 13679 | 56789 45789 2 |
| 1269 4 256 | 179 12679 8 | 5679 579 3 |
|-------------------------+-------------------------+-------------------------|
| 12346 8 2356-4 | 149 1459 159 | 13569 2359 7 |
|#1234 1257 9 | 6 *14578 157 | 1358 2358 158 |
| 16 1567 567 | 1789 3 2 | 4 589 15689 |
*-----------------------------------------------------------------------------*
finned swordfish
*-----------------------------------------------------------*
| 8 67 1 | 2 569 569 | 79 3 4 |
| 9 3 67 | 18 16 4 | 2 *78 5 |
| 5 2 4 | 3 789 *79 | 1 6 *89 |
|-------------------+-------------------+-------------------|
| 7 9 2 | 5 4 3 | 8 1 6 |
| 3 15 8 | 179 1679 1679 | 579 4 2 |
| 16 4 56 | 179 2 8 | 579 *79 3 |
|-------------------+-------------------+-------------------|
| 2 8 3 | 4 19-5 19-5 | 6 *59 7 |
| 4 157 9 | 6 578 *57 | 3 2 18 |
| 16 167 57 | 789 3 2 | 4 589 19 |
*-----------------------------------------------------------*
xy-chain |
on both --getting started was tough-- |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Nov 11, 2008 9:15 am Post subject: |
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I start with the top one.
To get things going, multi-coloring (4) sets r3c3=4. This is one of the rarer instances where the discontinuity in a nice loop has two strong links:
| Code: |
+·····+·····+·····+
·* · · * o·
· \ · · | ·
· \ · · | ·
· \ · · | ·
· *-----------*·
+····|+·····+··|··+
· |· *-------*·
· |· · |/ ·
· |·* o · * ·
· |·| · ·
· |·| · ·
+····|+|····+·····+
·o *·* o · ·
· · · ·
·*-------* · ·
· · · ·
· · · ·
+·····+·····+·····+
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(4) =r3c3=r7c3-r7c4=r5c4-r4c5=r4c9-r3c9=r3c3=;r3c3=4
Now we can proceed with the usual basics, until a UR (89) /w sl 8 becomes visible, but at the same time is destroyed by two x-wings (8) in this position:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 89 67 1 | 2 5689 569 | 579 3 4 |
| 89 3 67 | 189 15689 4 | 2 5789 589 |
| 5 2 4 | 3 789 79 | 1 6 89 |
+--------------------------+--------------------------+--------------------------+
| 7 9 2 | 5 4 3 | 8 1 6 |
| 3 15 8 | 179 1679 1679 | 579 4 2 |
| 16 4 56 | 179 2 8 | 579 579 3 |
+--------------------------+--------------------------+--------------------------+
| 2 8 3 | 4 159 159 | 6 59 7 |
| 4 157 9 | 6 578 57 | 3 2 158 |
| 16 1567 567 | 789 3 2 | 4 589 1589 |
+--------------------------+--------------------------+--------------------------+
|
After cleaning up, here
| Code: | +--------------------------+--------------------------+--------------------------+
| 8 67 1 | 2 569 569 | 79 3 4 |
| 9 3 67 | 18 16* 4 | 2 78 5 |
| 5 2 4 | 3 789 79 | 1 6 89 |
+--------------------------+--------------------------+--------------------------+
| 7 9 2 | 5 4 3 | 8 1 6 |
| 3 15 8 | 179 1679# 1679# | 579 4 2 |
| 16 4 56 | 179 2 8 | 579 79 3 |
+--------------------------+--------------------------+--------------------------+
| 2 8 3 | 4 -159 159* | 6 59 7 |
| 4 157 9 | 6 578 57 | 3 2 18 |
| 16 1567 567 | 789 3 2 | 4 589 19 |
+--------------------------+--------------------------+--------------------------+
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a generalized m-wing (1)r2c5=r7c6 via SL (6) in row 5 (and I do hope it's not one of these Groucho Marx xy-wings in disguise!)
Kite (9) row 7, col 9 removes 9 from r3c5, and a short while later, an xy-wing (59-57-79 col 6, box 8: r1c5<>9) is essential.
The next vh+ step takes a useless gm-wing and transports it:
| Code: |
+--------------------------+--------------------------+--------------------------+
| 8 67 1 | 2 56 569# | 79# 3 4 |
| 9 3 67 | 18 16 4 | 2 78 5 |
| 5 2 4 | 3 78 79 | 1 6 89 |
+--------------------------+--------------------------+--------------------------+
| 7 9 2 | 5 4 3 | 8 1 6 |
| 3 15 8 | 179 1679 67 | 579t 4 2 |
| 16 4 56 | 179 2 8 | 579t 79* 3 |
+--------------------------+--------------------------+--------------------------+
| 2 8 3 | 4 59# 1 | 6 59t 7 |
| 4 157 9 | 6 578 57# | 3 2 18 |
| 16 1567 567 | 789 3 2 | 4 589t 19** |
+--------------------------+--------------------------+--------------------------+
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The m-wing is (9)r7c5=r1c7 via SL (5) in row 1 or col 6 (marked #-#-#-#).
The r1c7 end can be transported via box 6 (-r56c7=r6c8) to r6c8 (marked *.This means r7c8<>9)
and on via box 9 (-r79c8=r9c9) to r9c9 (marked **. This means r9c4<>9)
Not done yet.
An xy-wing (78-89-79 row 9, col 8) and another one (16-17-67 box 7 col 2) finally crack this nut. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Nov 11, 2008 9:21 am Post subject: |
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Oy, oy. dan beat me by more than an hour! And a much shorter solution, too...
All I can say is I tried to do it without xy-wings or chains. Didn't succed on the xy-wings... |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Nov 11, 2008 7:15 pm Post subject: |
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| nataraj, sorry to see you tried skipping the common wings. the thrust of this thread was to show just how difficult puzzles can be if you use common wings (x-xy-xyz), simple/multicoloring, UR's, xy-chains. hopefully, this will be inviting to the casual observer since I am looking for puzzles that only require these techniques. in fact, the only diffrence from what Danny is doing is I am purposefully looking for the long VH solution paths. m-wings and w-wings in these puzzles are easter eggs and bonuses much like they are in the VH puzzles on this site. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Nov 11, 2008 7:52 pm Post subject: |
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no prob, Norm. I wasn't trying too hard, anyway, and I wasn't skipping (only delaying) and not the "common" wings but only the xy-wing.
My search pattern has changed over the last few months and I tend to look for xy-wings much later than I used to before (except in the "daily" vh's, but that is only because I know that usually there is one xy-wing that solves the thing). That's about the same time when Danny started his "no" series and got me going on that "no xy" path
So when all of UR, coloring, (un-finned) fish and m/w wings (including the recently approved Detroit wing ) leave me empty handed, I still go looking for xy-wings. I do avoid the (mostly) random and/or tedious search for xy-chains - I'll gladly leave that task to computers ...
Last edited by nataraj on Tue Nov 11, 2008 8:13 pm; edited 1 time in total |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Tue Nov 11, 2008 8:04 pm Post subject: |
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I started off brilliantly with an ER on <5> that left an x-wing on <5> and a quad in Box5. Then another x-wing - a Type 4 UR - an ER on <7> - and an xyz wing. But that's all Folks. A plethora of pairs and nothing to show for it.
Last edited by cgordon on Tue Nov 11, 2008 8:05 pm; edited 1 time in total |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Tue Nov 11, 2008 8:04 pm Post subject: |
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| Quote: | | I tend to look for xy-wings much later than I used to |
and this only makes sense since bi-value cells are hard to find at the bigginning stages of a puzzle (which might actually make it easier to find a "naked" xy-wing"). where as, in the latter stages of a puzzle there is a bunch of bi-value cells (which might make it harder to find "hidden" xy-wings, go figure). now that I think about it, I have seen many puzzles where an xy-wing or xy-chain was the finishing move. makes sense. |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Tue Nov 11, 2008 8:52 pm Post subject: |
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Order to chaos (and back?)
Many of my (RL) friends like to solve sudoku. One thing I've learned: everybody does it differently. Same here, it seems. This thread got me to reflect on how I go about solving those vh-plus-es and how this process might be much more psychologically determined than rationally.
It all starts very orderly: a few clues on the grid. Sweeping the floors, dusting the towers. Many solved cells, a few "potential marks", almost no PMs.
This phase lasts for 2,3 maybe 4 minutes. (such a short pleasure!)
Looking at houses with 7 or 6 solved cells first, then moving down to those with 5,4,3 or -god forbid- only two solved cells. Pencil marks grow longer and longer. Clutter galore.
Fifteen to twenty minutes into the puzzle, there is no more order, but pure chaos. "done with basics". Hm...
What now?
If it is a dailysudoku.com "vh" puzzle, I scan for xy-wings.
Otherwise I start looking for strong links in individual candidates (1,2,...). I draw my little "nataraj" diagrams, I find x-wings, kites, fish, m-wings, w-wings. Actually, what I realized today is that at this point I stop looking at the puzzle per se - because there is too much chaos and too little structure in the whole grid! I "distill" information from the grid and I use that information to find relationships between cells.
So, in a sense, I have managed to go back from chaos to order, from a clutter of pencil marks to a clean (albeit two-dimensional) world of strong and weak links.
Here's where my aversion to xy-wings / -chains comes in: that would force me to go back and look for connected cells directly in the grid.
Funny that I don't mind checking for UR's - maybe the identical bi-values are so easy to spot, that they again qualify as "order" ? |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Tue Nov 11, 2008 10:43 pm Post subject: |
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Initial PMs and non-fish logic for (4):
| Code: | Either (a) is true or else (bbb) is true.
If (bbb) is true, then (cc) is true.
If (cc) is true, then (4) is completely eliminated in [b5].
Thus, (a) is true.
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| Code: | first puzzle: [r3c3]=4
*-----------------------------------------------------------------------------*
|b4689 679 1 | 2 56789 35679 | 35789 345789 4589 |
| 689 3 678 | 1789 156789 4 | 2 5789 1589 |
| 5 279 a2478 | 13789 1789 1379 | 13789 6 b1489 |
|-------------------------+-------------------------+-------------------------|
| 7 269 2368 | 5 2469 369 | 689 1 4689 |
| 13689 1569 3568 | 13479 14679 13679 | 56789 c45789 2 |
| 1269 4 256 | 179 12679 8 | 5679 579 3 |
|-------------------------+-------------------------+-------------------------|
| 12346 8 b23456 | 149 1459 159 | 13569 2359 7 |
| 1234 1257 9 | 6 c14578 157 | 1358 2358 158 |
| 16 1567 567 | 1789 3 2 | 4 589 15689 |
*-----------------------------------------------------------------------------*
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| Code: | second puzzle: [r3c3]=4
*-----------------------------------------------------------------------------*
|b4789 789 1 | 2 35679 5678 | 345789 345689 3789 |
| 2789 3 2689 | 6789 5679 4 | 1 5689 789 |
| 5 789 a4689 | 36789 13679 1678 |b34789 2 3789 |
|-------------------------+-------------------------+-------------------------|
| 6 1289 2389 | 5 1249 128 | 23489 7 12389 |
| 123789 125789 23589 | 4789 12479 1278 | 23489 c13489 6 |
| 12789 4 289 | 6789 12679 3 | 289 189 5 |
|-------------------------+-------------------------+-------------------------|
| 12389 6 23589 | 37 2357 257 | 235789 13589 4 |
| 23489 2589 7 | 1 c23456 256 | 23589 3589 2389 |
| 1234 125 b2345 | 347 8 9 | 6 135 1237 |
*-----------------------------------------------------------------------------*
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Wed Nov 12, 2008 7:52 am Post subject: |
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| daj95376 wrote: | | non-fish logic for (4) |
I'd call it ER logic. In both cases, there is a conjugate pair of <4>s in r8. The <4> in r1c1 sees the <4> in r8c1 directly and sees the <4> in r8c5 via the sequence of ERs in b5, b6 and b3. Thus, r1c1<>4. |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Thu Nov 13, 2008 6:15 am Post subject: |
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it has it all.
| Code: |
+-------+-------+-------+
| . . 9 | 6 . . | . . . |
| . 4 . | . . 1 | 5 . . |
| 8 . . | . . . | . 3 . |
+-------+-------+-------+
| 1 . . | 9 . . | . 2 . |
| . . . | . . . | . . 7 |
| . 5 . | . . 4 | . . 8 |
+-------+-------+-------+
| . 3 . | . . . | . . 9 |
| . . 7 | 2 . . | . . . |
| . . . | . 5 8 | 1 . . |
+-------+-------+-------+
|
Play this puzzle online at the Daily Sudoku site
| Code: | .---------------------.---------------------.---------------------.
| 237 127 9 | 6 237 5 | 278 48 124 |
| 2367 4 236 | 8 237 1 | 5 9 26 |
| 8 16 5 | 4 9 27 | 27 3 16 |
:---------------------+---------------------+---------------------:
| 1 67 3468 | 9 68 37 | 34 2 5 |
| 23469 269 23468 | 5 68 23 | 349 1 7 |
| 2379 5 23 | 1 27 4 | 39 6 8 |
:---------------------+---------------------+---------------------:
| 25 3 1 | 7 4 6 | 28 58 9 |
| 45 8 7 | 2 1 9 | 6 45 3 |
| 2469 269 246 | 3 5 8 | 1 7 24 |
'---------------------'---------------------'---------------------' |
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Thu Nov 13, 2008 7:13 am Post subject: |
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Has it "all"?
I must have taken the easy way.
one x-wing (7) to remove 7 from r1c1 and r1c5.
coloring (2) to solve the puzzle. |
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