July 16, 2016

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July 16, 2016

Postby ArkieTech » Fri Jul 15, 2016 11:20 pm

Code: Select all
 *-----------*
 |.74|.9.|83.|
 |...|.75|...|
 |2..|84.|...|
 |---+---+---|
 |.32|...|..8|
 |.98|...|37.|
 |7..|...|19.|
 |---+---+---|
 |...|.62|..3|
 |...|53.|...|
 |.65|.8.|21.|
 *-----------*


Play/Print this puzzle online
dan
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Re: July 16, 2016

Postby Leren » Fri Jul 15, 2016 11:39 pm

Code: Select all
*--------------------------------------------------------------*
| 56    7     4      | 2     9     16     | 8     3    d15     |
| 689   18    3      | 16    7     5      | 49    2    d149    |
| 2    a15    19     | 8     4     3      | 679-5 6-5  d15679  |
|--------------------+--------------------+--------------------|
| 145   3     2      | 79    15    79     | 456   456   8      |
| 15    9     8      | 46    125   46     | 3     7     25     |
| 7    b45    6      | 3     25    8      | 1     9    c245    |
|--------------------+--------------------+--------------------|
| 489   148   179    | 1479  6     2      | 4579  458   3      |
| 489   2     179    | 5     3     1479   | 4679  468  d4679   |
| 3     6     5      | 479   8     479    | 2     1    d479    |
*--------------------------------------------------------------*

(5) r3c2 = (5-4) r6c2 = (4) r6c9 - (4=5) r12389c9 => - 5 r3c78; stte

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Re: July 16, 2016

Postby SteveG48 » Sat Jul 16, 2016 12:25 am

Code: Select all
 *--------------------------------------------------------------------*
 | 5-6    7      4      | 2      9     a16     | 8      3     a15     |
 |d689   d18     3      | 16     7      5      | 49     2      149    |
 | 2     d15    d19     | 8      4      3      | 5679   56     15679  |
 *----------------------+----------------------+----------------------|
 | 145    3      2      | 79     15     79     | 456    456    8      |
 | 15     9      8      | 46     125    46     | 3      7     b25     |
 | 7     c45     6      | 3      25     8      | 1      9     b245    |
 *----------------------+----------------------+----------------------|
 | 489    148    179    | 1479   6      2      | 4579   458    3      |
 | 489    2      179    | 5      3      1479   | 4679   468    4679   |
 | 3      6      5      | 479    8      479    | 2      1      479    |
 *--------------------------------------------------------------------*


(6=15)r1c69 - (5=24)r56c9 - (4=5)r6c2 - (5=1689)b1p4589 => -6 r1c1 ; stte
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Re: July 16, 2016

Postby pjb » Sat Jul 16, 2016 2:02 am

Code: Select all
c56      7       4      | 2      9     b16     | 8      3     a15     
 689     18      3      | 16     7      5      | 49     2      149   
 2       15      19     | 8      4      3      | 5679   56     15679 
------------------------+----------------------+---------------------
c145     3       2      | 79     15     79     | 56-4   56-4   8     
c15      9       8      | 46     125    46     | 3      7     a25     
 7       5-4     6      | 3      25     8      | 1      9     a245   
------------------------+----------------------+---------------------
 489     148     179    | 1479   6      2      | 4579   458    3     
 489     2       179    | 5      3      1479   | 4679   468    4679   
 3       6       5      | 479    8      479    | 2      1      479   


(4=1)r156c9 - (1=6)r1c6 - (6=4)r145c1 => -4 r4c78, r6c2; stte

Phil
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Re: July 16, 2016

Postby Marty R. » Sat Jul 16, 2016 2:53 am

Code: Select all
+-------------+---------------+----------------+
| 56  7   4   | 2    9   16   | 8    3   15    |
| 689 18  3   | 16   7   5    | 49   2   149   |
| 2   15  19  | 8    4   3    | 5679 56  15679 |
+-------------+---------------+----------------+
| 145 3   2   | 79   15  79   | 456  456 8     |
| 15  9   8   | 46   125 46   | 3    7   25    |
| 7   45  6   | 3    25  8    | 1    9   245   |
+-------------+---------------+----------------+
| 489 148 179 | 1479 6   2    | 4579 458 3     |
| 489 2   179 | 5    3   1479 | 4679 468 4679  |
| 3   6   5   | 479  8   479  | 2    1   479   |
+-------------+---------------+----------------+

Play this puzzle online at the Daily Sudoku site

Is the following a discontinuous loop?

5r1c1=r45c1-(5=4)r6c2-(4=251)r156c9-(1=65)r1c61 contradiction=> 5r1c1
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Re: July 16, 2016

Postby pjb » Sat Jul 16, 2016 3:41 am

Yes
rewrite as (6=1)r1c6 - (1=4)r156c9 - (4=5)r6c2 - r45c1 = (5-6)r1c1
then if (6)r1c6 => -6 r1c1
then either way you get -6 r1c1
Cheers, Phil
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Re: July 16, 2016

Postby Sudtyro2 » Sat Jul 16, 2016 4:23 pm

Code: Select all
*--------------------------------------------------------------*
|*56    7     4      | 2     9     16     | 8     3    *1-5    |
| 689   18    3      | 16    7     5      | 49    2     149    |
| 2    *15    19     | 8     4     3      | 5679  56   g15679  |
|--------------------+--------------------+--------------------|
| 145   3     2      | 79    15    79     | 456   456   8      |
| 15    9     8      | 46    125b  46     | 3     7    g25c    |
| 7    *45    6      | 3    g25a   8      | 1     9    *245    |
|--------------------+--------------------+--------------------|
| 489   148   179    | 1479  6     2      | 4579  458   3      |
| 489   2     179    | 5     3     1479   | 4679  468   4679   |
| 3     6     5      | 479   8     479    | 2     1     479    |
*--------------------------------------------------------------*
5-Link Oddagon (5):r1c19,r3c2,r6c29
Guardians(g): r6c5,r35c9
Code: Select all
(5-2)r6c5 = 2r5c5 - (2=5)r5c9 - 5r1c9;
5r35c9                        - 5r1c9; stte

Or, try an equivalent Kraken 5s 1-Fish r6\c9 + rfr6c25
Hints:
rfr6c5 uses same chain as guardian r6c5.
rfr6c2 uses three conjugate links from the Oddagon.
r6c9 is the covered base cell.
r1c9 is the eventual elimination.

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Re: July 16, 2016

Postby Kozo Kataya » Tue Jul 19, 2016 7:25 am

This is an interesting puzzle. Found double square like formation inter-related at Box456.
To avoid double solutions of 15r45c15 or 25r56c59, r4c1and r6c9 = 4 and 5-12 at r5c5
Code: Select all
Square like formation: must be avoid !
|15 . .|.15 .|      |.25 .|. .25|
|15 . .|.15 .|      |.25 .|. .25|
 

Code: Select all
A: Box 4,5,6
|145  3  2| 79  15 79|456 456  8|  r4
| 15  9  8| 46 125 46|  3  7  25|  r5
|  7 45  6|  3  25  8|  1  9 245|  r6
 
B: possible Square 15 at r45c15
|15+4 .  . | . 15   . | .  .  . |  r4
|15   .  . | . 15+2 . | .  .  . |  r5
 
C: possible Square 25 at r56c59
| .  .   . | . 25+1 . | .  .  25|  r5
| .  .   . | . 25   . | .  .25+4|  r6

D: To be avoid square formation => stte
|4-15 .  . | .  15  . | .  .  . |  r4
|15   .  . | .  5-12. | .  .  25|  r5
| .   .  . | .  25  . | .  .4-25|  r6

Regards kozo
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Re: July 16, 2016

Postby eleven » Tue Jul 19, 2016 7:38 pm

Hi Kozo,

from the combined UR patterns i can see, that one of r4c1 and r6c9 must be 4 (or - looking at the externals - one of r4c78 and r6c2 must be 5).
But r5c5 <> 12 is not a direct elimination, is it ?

btw it is also called a MUG, or a BUG-Lite
Code: Select all
abc .. | ab . . | ac . .
ab  .. | ab . . | . . .
ac  . .| .  . . | ac . .
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Re: July 16, 2016

Postby Kozo Kataya » Wed Jul 20, 2016 1:19 am

Thank you "eleven" for your comment.
eleven wrote:from the combined UR patterns i can see, that one of r4c1 and r6c9 must be 4 (or - looking at the externals - one of r4c78 and r6c2 must be 5).
But r5c5 <> 12 is not a direct elimination, is it ?
btw it is also called a MUG, or a BUG-Lite

i recognized r5c5<>12 is not enough for stte.
Though, set r5c5<>12 because if each of 1 or 2 is selected, which forms 15 or 25 only respectively.

By the way, i, as a non-English-familiar person, am confused abbreviate terms like "oddagone" etc.
Though i try to study MUG and/or BUG and other curious named techniques.
Now i wonder why so many kind of FISHes are ? Evev though,
all are depend on one single-digit based method along with the same logic.

Regards kozo
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Re: July 16, 2016

Postby eleven » Wed Jul 20, 2016 7:36 am

What i meant is, that from the overlapping UR's you can only say, that one of the extra candidates must be true (in a unqiue puzzle), not that the common cell cannot hold 12 (if both extra candidates are 4, both UR's already are destroyed).

Here is another sample, you might like.
Code: Select all
    +----------------------+----------------------+----------------------+
    | 7     #128    4      |@18     5      189    | 6      3     #12+9   |
    | 58    #12+5   9      | 36     4      36     | 18     7     #12     |
    | 3     @18     6      |@18+9   2      7      | 5      48     49     |
    +----------------------+----------------------+----------------------+
    | 59     6      2      | 7      8      49     | 3      145    145    |
    | 1      45     7      | 26     3      26     | 49     459    8      |
    | 89     48     3      | 49     1      5      | 2      6      7      |
    +----------------------+----------------------+----------------------+
    | 6      7      8      | 1245   9      124    | 14     1245   3      |
    | 24     9      1      | 23458  6      2348   | 7      2458   45     |
    | 24     3      5      | 1248   7      1248   | 1489   12489  6      |
    +----------------------+----------------------+----------------------+


btw an oddagon (don't know, who invented the name) is an impossible loop, usually formed by an odd number of strong links for one digit. With 5 strong links it is also called "broken wing".
Also a loop with an odd number of (the same) pairs is impossible.

Remark: i will be away for 3 weeks.
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