another gem of a "fiendish" named puzzle

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another gem of a "fiendish" named puzzle

Postby ncantoral » Sun Jun 22, 2008 6:12 am

Code: Select all
. . .|. . 3|9 . 4
. 6 .|. 2 .|. . .
8 7 .|. . 1|. . .
-----+-----+-----
. . 7|. 5 2|. . 9
. . .|1 . 7|. . .
2 . .|9 6 .|5 . .
-----+-----+-----
. . .|3 . .|. 9 5
. . .|. 4 .|. 8 .
6 . 8|2 . .|. . .




Code: Select all
.---------------------.---------------------.---------------------.
| 15     12     125   | 678    78     3     | 9      67     4     |
| 349    6      349   | 457    2      45    | 8      137    137   |
| 8      7      34    | 46     9      1     | 236    5      26    |
:---------------------+---------------------+---------------------:
| 134    1348   7     | 48     5      2     | 16     136    9     |
| 59     59     6     | 1      3      7     | 4      2      8     |
| 2      48     13    | 9      6      48    | 5      137    137   |
:---------------------+---------------------+---------------------:
| 147    124    124   | 3      178    68    | 1267   9      5     |
| 13579  123    12359 | 57     4      569   | 1267   8      26    |
| 6      59     8     | 2      17     59    | 137    4      13    |
'---------------------'---------------------'---------------------'


my sudoku knowlegde has been used up after staring for so long.
I get these off of a site called sudokupuzz and the difficulty range is vast. I have come accross numerous puzzles rated 7.2 - 8.4 SE:(:!::!:
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Postby daj95376 » Sun Jun 22, 2008 3:42 pm

While you're waiting for a solution with insight ...

Code: Select all
r7c5 =8= r7c6 =6= r7c7 -6- r4c7 -1- r789c7 =1= r9c9 -1- r9c5 -7- r7c5  =>  [r7c5]<>7
r7c7 =6= r7c6 =8= r7c5 =1= r9c5 =7= r9c7                     -7- r7c7  =>  [r7c7]<>7
____________________________________________________________________________________

Sashimi X-Wing  =>  [r6c2]<>4
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Postby submacrolize » Sun Jun 22, 2008 10:38 pm

You can view the solution here.

Click on the gray squares that you want to see. Right click to view the whole solution:)
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Postby eleven » Mon Jun 23, 2008 5:58 pm

Found some UR eliminations, but it kept to be nasty:

xyz-wing to remove 5 from r3c4, a sashimi x-wing to remove 3 from r4c7, a kite removes 4 from r6c3. All of them already done by ncantoral.
Code: Select all
 *--------------------------------------------------------*
 | 15     12    125    | 678  78   3    | 9     67   4    |
 | 349    6     349    | 457  2    45   | 8    #137 #137  |
 | 8      7     34     | 46   9    1    | 236   5    26   |
 |---------------------+----------------+-----------------|
 | 134    1348  7      | 48   5    2    | 136  *136  9    |
 | 59     59    6      | 1    3    7    | 4     2    8    |
 | 2      48    13     | 9    6    48   | 5    #137 #137  |
 |---------------------+----------------+-----------------|
 | 147    124   124    | 3    178  68   | 1267  9    5    |
 | 13579  123   12359  | 57   4    569  | 1267  8    26   |
 | 6      59    8      | 2    17   59   | 137   4    13   |
 *--------------------------------------------------------*
Now these UR eliminations:
UR 26 in r38c79: r8c7<>6
UR 17 in r26c89: r6c9<>1 (note r6c9=1 -> r2c8=1)
UR 37 in same cells: r6c9<>3 (r6c9=3 -> r2c8=3)

Bringing me here after skysraper for 3:
Code: Select all
 *-------------------------------------------------------*
 | 15     12    125    | 678  78   3    | 9     67   4   |
 | 349    6     349    | 457  2    45   | 8    #17   13  |
 | 8      7     34     | 46   9    1    | 236   5    26  |
 |---------------------+----------------+----------------|
 | 134    1348  7      | 48   5    2    | 16    136  9   |
 | 59     59    6      | 1    3    7    | 4     2    8   |
 | 2      48    13     | 9    6    48   | 5     13   7   |
 |---------------------+----------------+----------------|
 | 147    124   124    | 3    178  68   | 1267  9    5   |
 | 13579  123   12359  | 57   4    569  | 127   8    26  |
 | 6      59    8      | 2   #17   59   | 137   4    13  |
 *-------------------------------------------------------*
Now also the 1 in r6c8 can be eliminated by the UR 17 in the same cells. (If you cant see it, reinsert 1 in r6c9 and 7 in r2c9 and r6c8.)
This gives an xyz-wing 124 to eliminate 2 from r8c2.
Code: Select all
 *----------------------------------------------------*
 | 15     12   25    | 678  78   3    | 9     67  4   |
 | 349    6    349   | 457  2    45   | 8     17  13  |
 | 8      7    34    | 46   9    1    | 236   5   26  |
 |-------------------+----------------+---------------|
 | 34     348  7     | 48   5    2    | 16    16  9   |
 |#59    #59   6     | 1    3    7    | 4     2   8   |
 | 2      48   1     | 9    6    48   | 5     3   7   |
 |-------------------+----------------+---------------|
 | 147    124  24    | 3    178  68   | 1267  9   5   |
 |#1379   13   2359  | 57   4   #569  | 127   8   26  |
 | 6     #59   8     | 2    17  #59   | 137   4   13  |
 *----------------------------------------------------*
59 MUG pattern eliminates 5 from r8c1.
Code: Select all
 *-------------------------------------------------------*
 | 15     12    25     | 678  78   3    | 9     67   4   |
 | 349    6     349    | 457  2    45   | 8     17   13  |
 | 8      7     34     | 46   9    1    | 236   5    26  |
 |---------------------+----------------+----------------|
 | 34     348   7      | 48   5    2    | 16    16   9   |
 | 59     59    6      | 1    3    7    | 4     2    8   |
 | 2      48    1      | 9    6    48   | 5     3    7   |
 |---------------------+----------------+----------------|
 | 147    124   24     | 3    178  68   | 1267  9    5   |
 | 1379   13    2359   | 57   4    569  | 127   8    26  |
 | 6      59    8      | 2    17   59   | 137   4    13  |
 *-------------------------------------------------------*
But now i didnt find something nice.

Lets try the local notation:
r8c1-7-r7c123-1-r7c5=1=r9c5-1-r9c79=1=r78c7-1-r4c7-6-r7c7=6=r7c6-6-r89c6-5-r8c4-7-r8c1

In my own:
r8c1=7 -> r7c123=124 -> r7c5<>1 -> r9c5=1 -> r78c7=1 -> r4c7=6 -> r7c6=6 -> r89c6=59 -> r8c4=7

A kite then solves it.
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Postby Bigtone53 » Mon Jun 23, 2008 6:14 pm

.. but will submacrolize grow up one day and realise the difference between this erudite description of how, and the brute force result that no-one is interested in?

:(
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Postby wintder » Mon Jun 23, 2008 6:21 pm

Bigtone53 wrote:.. but will submacrolize grow up one day and realise the difference between this erudite description of how, and the brute force result that no-one is interested in?

:(

Doubt it. If I could I would ban him/her/it from posting.
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Joined: 24 April 2007

Postby hobiwan » Mon Jun 23, 2008 9:19 pm

We've had chains and URs, so let's try ALS:

Code: Select all
.---------------------.----------------------.---------------------.
| 15     12     125   |  6-78   78     3     | 9     A67     4     |
| 349    6      349   |  457    2      45    | 8      137    137   |
| 8      7      34    |  46     9      1     | 236    5     A26    |
:---------------------+----------------------+---------------------:
| 134    1348   7     |  48     5      2     | 16     136    9     |
| 59     59     6     |  1      3      7     | 4      2      8     |
| 2      48     13    |  9      6      48    | 5      137    137   |
:---------------------+----------------------+---------------------:
| 147    124    124   |  3      178    68    | 1267   9      5     |
| 13579  123    12359 | B57     4     B569   | 1267   8     C26    |
| 6      59     8     |  2      17    B59    | 137    4      13    |
'---------------------'----------------------'---------------------'
Almost Locked Set XY-Wing: A=r1c8,r3c9 - {267}, B=r8c46,r9c6 - {5679}, C=r8c9 - {26}, Y,Z=2,6, X=7 => r1c4<>7
Naked Triple: 6,8,4 in r134c4 => r2c4<>4

.----------------------.---------------------.----------------------.
|  15     12     125   | 68    B78     3     |  9      67     4     |
|  349    6      349   | 57     2      45    |  8      137    137   |
|  8      7      34    | 46     9      1     |  236    5      26    |
:----------------------+---------------------+----------------------:
|  134    1348   7     | 48     5      2     |  16     136    9     |
|  59     59     6     | 1      3      7     |  4      2      8     |
|  2      48     13    | 9      6      48    |  5      137    137   |
:----------------------+---------------------+----------------------:
| A147   A124   A124   | 3     A178    68    |  126-7  9      5     |
|  13579  123    12359 | 57     4      569   |  1267   8      26    |
|  6      59     8     | 2     B17     59    | B137    4     B13    |
'----------------------'---------------------'----------------------'
Almost Locked Set XY-Wing: A=r7c1235 - {12478}, B=r9c79 - {137}, C=r19c5 - {178}, Y,Z=1,8, X=7 => r7c7<>7

.---------------------.----------------------.----------------------.
| 15     12     125   |  68     78     3     |  9      67     4     |
| 349    6      349   |  57     2      45    |  8      137    137   |
| 8      7      34    |  46     9      1     |  236    5      26    |
:---------------------+----------------------+----------------------:
| 134    1348   7     |  48     5      2     | A16     136    9     |
| 59     59     6     |  1      3      7     |  4      2      8     |
| 2      48     13    |  9      6      48    |  5      137    137   |
:---------------------+----------------------+----------------------:
| 147    124    124   |  3      178    68    | A126    9      5     |
| 135-79 123    12359 | B57     4     B569   | A1267   8     C26    |
| 6      59     8     |  2      17    B59    |  137    4      13    |
'---------------------'----------------------'----------------------'
Almost Locked Set XY-Wing: A=r478c7 - {1267}, B=r8c46,r9c6 - {5679}, C=r8c9 - {26}, Y,Z=2,6, X=7 => r8c1<>7
Hidden Single: r7c1=7
Skyscraper: 4 in r2c1,r3c4 (connected by r4c14) => r2c6,r3c3<>4
Singles
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Postby Glyn » Mon Jun 23, 2008 9:34 pm

wintder wrote:
Bigtone53 wrote:.. but will submacrolize grow up one day and realise the difference between this erudite description of how, and the brute force result that no-one is interested in?

:(

Doubt it. If I could I would ban him/her/it from posting.


I think you may have hit the nail on the head with 'it', sub, macro,ize sounds like a relative of g.r.emlin
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Postby Bigtone53 » Mon Jun 23, 2008 9:56 pm

Glyn wrote:I think you may have hit the nail on the head with 'it', sub, macro,ize sounds like a relative of g.r.emlin


That would explain many things. It is an annoyance rather than a problem but as Daj95376 pointed out, there is a supporter out there. If we still have a moderator what does he/ she / (it?) think:?:
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Re: another gem of a "fiendish" named puzzle

Postby Draco » Tue Jun 24, 2008 8:23 pm

ncantoral wrote:...
my sudoku knowlegde has been used up after staring for so long.
I get these off of a site called sudokupuzz and the difficulty range is vast. I have come accross numerous puzzles rated 7.2 - 8.4 SE:(:!::!:

FWIW, I've also noticed that SudokuPuzz frequently delivers puzzles of fairly random difficulty, with little regard to the level requested. And sometimes it delivers puzzles at the level requested. Hard to know what you're getting unless you score it with SE or another program.

If you are looking for more reliable puzzle sources, a couple of sites I've found that tend to deliver puzzles in line with the requested difficulty level are Life.com and Player.co.uk. No endorsement of these sites is implied beyond noting I've seen many good puzzles come from them.

Cheers...

- drac
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Postby ncantoral » Tue Jun 24, 2008 8:53 pm

FWIW, I've also noticed that SudokuPuzz frequently delivers puzzles of fairly random difficulty, with little regard to the level requested. And sometimes it delivers puzzles at the level requested. Hard to know what you're getting unless you score it with SE or another program


yes, its a big variation in difficulty. I am not trying to promote the site, in fact I think its a bit lackluster for the site not to better regulate its difficulty variation. box of chocolates comes to mind:D . if the average user finds that site and thinks that all fiendish puzzles are easy/hard, whatever the case may be, then its greatly misleading.

all that said, I am in the camp that believes its totally subjective and up to the player to make his/her sudoku experience what it is regardless of difficulty.

and thanx for the reference to the other sites. the vanhegan site is very nice for sampling puzzles on many difficulty levels. but even that site has had some easier than normal extremes and harder than normal fiendish.
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Postby Steve K » Wed Jun 25, 2008 2:48 am

Here is a stab at it: start, some singles,
Locked 6 r13c4 => r8c4<>6
Locked 8 r2c79 => r2c46<>8
AAIC: (5=4)r2c6-[(4)kite: r6c6=r6c23-r45c1=*r2c1]=*(4-7)r7c1=(7)r8c1-(7=5)r8c4 => r89c6, r123c4<>5 singles
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Postby Bigtone53 » Thu Jun 26, 2008 7:30 pm

Glyn wrote:
I think you may have hit the nail on the head with 'it', sub, macro,ize sounds like a relative of g.r.emlin


That would explain many things. It is an annoyance rather than a problem but as Daj95376 pointed out, there is a supporter out there. If we still have a moderator what does he/ she / (it?) think


On reflection, now that I am not full of beer-fuelled rage and know that sub--macro--lise is just a program, I am happy to treat it as just background noise. Annoying but there. However, iffy things seem to happen on your machine if you write quoting the name it actually uses.
:(
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Postby daj95376 » Thu Jun 26, 2008 9:49 pm

Upon review of eleven's UR effort, it's too bad he didn't tackle cell [r6c8] for URs.

Code: Select all
 [r6c8]=1|7 -> UR 17 in [r26c89]  =>  ([r6c8]=3, [r6c3]=1, [r6c9]=7, XYZ-Wing)
 +-----------------------------------------------------------------------+
 |  15     12     125    |  678    78     3      |  9      67     4      |
 |  349    6      349    |  457    2      45     |  8      137    137    |
 |  8      7      34     |  46     9      1      |  236    5      26     |
 |-----------------------+-----------------------+-----------------------|
 |  134    1348   7      |  48     5      2      |  16     136    9      |
 |  59     59     6      |  1      3      7      |  4      2      8      |
 |  2      48     13     |  9      6      48     |  5      137    137    |
 |-----------------------+-----------------------+-----------------------|
 |  147    124    124    |  3      178    68     |  1267   9      5      |
 |  13579  123    12359  |  57     4      569    |  1267   8      26     |
 |  6      59     8      |  2      17     59     |  137    4      13     |
 +-----------------------------------------------------------------------+

daj95376 motto: If you can't be original, hindsight is always second best.:D:D:D
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Postby Glyn » Fri Jun 27, 2008 12:58 am

I'm slightly confused by one of the UR's which appears not to be there.
First the ones that I think are ok.
From eleven
UR 26 in r38c79 avoidable with candidates labelled a,b or c => r8c7<>6
Code: Select all
.------------------.------------------.----------------------.
| 15    12    125  | 678   78    3    | 9         67    4    |
| 349   6     349  | 457   2     45   | 8         137   137  |
| 8     7     34   | 46    9     1    | 23a6      5    2a6   |
:------------------+------------------+----------------------:
| 134   1348  7    | 48    5     2    | 16        136   9    |
| 59    59    6    | 1     3     7    | 4         2     8    |
| 2     48    13   | 9     6     48   | 5         137   137  |
:------------------+------------------+----------------------:
| 147   124   124  | 3     178   68   | 1267      9     5    |
| 13579 123   12359| 57    4     569  | 1b2(-6)7c 8    26a   |
| 6     59    8    | 2     17    59   | 137       4     13   |
'------------------'------------------'----------------------'

Followed by UR 17 in r26c89 avoidable with candidates a or b. =>r6c9<>1
Code: Select all
.------------------.------------------.---------------------.
| 15    12    125  | 678   78    3    | 9     67    4       |
| 349   6     349  | 457a  2     45   | 8     137   137     |
| 8     7     34   | 46    9     1    | 236   5     26      |
:------------------+------------------+---------------------:
| 134   1348  7    | 48    5     2    | 16    136   9       |
| 59    59    6    | 1     3     7    | 4     2     8       |
| 2     48    1b3  | 9     6     48   | 5     137   (-1)37a |
:------------------+------------------+---------------------:
| 147   124   124  | 3     178   68   | 1267  9     5       |
| 13579 123   12359| 57    4     569  | 127   8     26      |
| 6     59    8    | 2     17    59   | 137   4     13      |
'------------------'------------------'---------------------'

The UR 37 in r26c89 can't happen as a 1 is mandatory in r2c89. So no eliminations there.
I'm not sure daj95376's post clarified things for me
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