AU Tough February 27, 2013

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AU Tough February 27, 2013

Postby ArkieTech » Wed Feb 27, 2013 3:20 am

Code: Select all
 *-----------*
 |.7.|..4|9..|
 |.1.|...|.5.|
 |8.2|..6|...|
 |---+---+---|
 |4..|...|3..|
 |...|897|...|
 |..1|...|..6|
 |---+---+---|
 |...|2..|1.3|
 |.8.|...|.2.|
 |..3|6..|.8.|
 *-----------*


Play/Print this puzzle online
dan
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Re: AU Tough February 27, 2013

Postby Leren » Wed Feb 27, 2013 3:43 am

Code: Select all
*-----------------------------------------------------------------------*
| 356    7      56      | 15     28     4       | 9      136    28      |
| 69     1      49      | 37     2378   238     | 246    5      248     |
| 8      345    2       | 9      15     6       | 47     134    147     |
|-----------------------+-----------------------+-----------------------|
| 4      9      8       | 15     6      125     | 3      7      25      |
|c2356  b2356   56      | 8      9      7       | 245    14     1245    |
| 7      25     1       | 34     2345   235     | 8      9      6       |
|-----------------------+-----------------------+-----------------------|
| 569   a456    479     | 2      4578   589     | 1      46     3       |
|e159-6  8      479     | 347    13457  1359    | 4567   2      4579    |
|d1259   245    3       | 6      1457   159     | 457    8      4579    |
*-----------------------------------------------------------------------*


(6) r7c2 = (6-3) r5c2 = (3-2) r5c1 = (2-1) r9c1 = (1-6) r8c1 => r8c1 <> 6; stte

Leren
Last edited by Leren on Wed Feb 27, 2013 8:18 pm, edited 1 time in total.
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Re: AU Tough February 27, 2013

Postby ArkieTech » Wed Feb 27, 2013 12:21 pm

Code: Select all
 *--------------------------------------------------------------------*
 | 3-56   7     a56     |b15     28     4      | 9      136    28     |
 |g69     1      49     | 37     2378   238    |f26-4   5      248    |
 | 8      345    2      | 9      15     6      | 47     134    147    |
 |----------------------+----------------------+----------------------|
 | 4      9      8      |c15     6      12-5   | 3      7     d25     |
 | 2356   2356   56     | 8      9      7      |e245    14     145-2  |
 | 7      25     1      | 34     2345   235    | 8      9      6      |
 |----------------------+----------------------+----------------------|
 | 569    456    479    | 2      4578   589    | 1      46     3      |
 | 1569   8      479    | 347    13457  1359   | 4567   2      4579   |
 | 1259   245    3      | 6      1457   159    | 457    8      4579   |
 *--------------------------------------------------------------------*
Loop
(6=5)r1c3-r1c4=r4c4-(5=2)r4c9-r5c7=(2-6)r2c7=r2c1-6r1c3 => -56r1c1 -4r2c7 -5r4c6 -2r5c9; ste
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Re: AU Tough February 27, 2013

Postby Marty R. » Wed Feb 27, 2013 6:21 pm

Code: Select all
+---------------+----------------+---------------+
| 356  7    56  | 15  28    4    | 9    136 28   |
| 69   1    49  | 37  2378  238  | 246  5   248  |
| 8    345  2   | 9   15    6    | 47   134 147  |
+---------------+----------------+---------------+
| 4    9    8   | 15  6     125  | 3    7   25   |
| 2356 2356 56  | 8   9     7    | 245  14  1245 |
| 7    25   1   | 34  2345  235  | 8    9   6    |
+---------------+----------------+---------------+
| 569  456  479 | 2   4578  589  | 1    46  3    |
| 1569 8    479 | 347 13457 1359 | 4567 2   4579 |
| 1259 245  3   | 6   1457  159  | 457  8   4579 |
+---------------+----------------+---------------+

Play this puzzle online at the Daily Sudoku site

I originally had some excess candidates in a few cells, which I have removed, but don't know if I'd have come up with a different solution.

1r1c4=(1-3)r1c8=r3c8-(3245=6)r3697c2-(6=4)r7c8-(4=1)r5c8=>r1c8<>1
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Location: Rochester, New York, USA

Re: AU Tough February 27, 2013

Postby Marty R. » Wed Feb 27, 2013 7:18 pm

ArkieTech wrote:
Code: Select all
 *--------------------------------------------------------------------*
 | 3-56   7     a56     |b15     28     4      | 9      136    28     |
 |g69     1      49     | 37     2378   238    |f26-4   5      248    |
 | 8      345    2      | 9      15     6      | 47     134    147    |
 |----------------------+----------------------+----------------------|
 | 4      9      8      |c15     6      12-5   | 3      7     d25     |
 | 2356   2356   56     | 8      9      7      |e245    14     145-2  |
 | 7      25     1      | 34     2345   235    | 8      9      6      |
 |----------------------+----------------------+----------------------|
 | 569    456    479    | 2      4578   589    | 1      46     3      |
 | 1569   8      479    | 347    13457  1359   | 4567   2      4579   |
 | 1259   245    3      | 6      1457   159    | 457    8      4579   |
 *--------------------------------------------------------------------*
Loop
(6=5)r1c3-r1c4=r4c4-(5=2)r4c9-r5c7=(2-6)r2c7=r2c1-6r1c3 => -56r1c1 -4r2c7 -5r4c6 -2r5c9; ste


Dan,

What's with the last term, -6r1c3? Why doesn't the loop complete with the 6 in r2c1?
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Joined: 23 October 2012
Location: Rochester, New York, USA

Re: AU Tough February 27, 2013

Postby DonM » Wed Feb 27, 2013 8:31 pm

Marty R. wrote:
ArkieTech wrote:
Code: Select all
 *--------------------------------------------------------------------*
 | 3-56   7     a56     |b15     28     4      | 9      136    28     |
 |g69     1      49     | 37     2378   238    |f26-4   5      248    |
 | 8      345    2      | 9      15     6      | 47     134    147    |
 |----------------------+----------------------+----------------------|
 | 4      9      8      |c15     6      12-5   | 3      7     d25     |
 | 2356   2356   56     | 8      9      7      |e245    14     145-2  |
 | 7      25     1      | 34     2345   235    | 8      9      6      |
 |----------------------+----------------------+----------------------|
 | 569    456    479    | 2      4578   589    | 1      46     3      |
 | 1569   8      479    | 347    13457  1359   | 4567   2      4579   |
 | 1259   245    3      | 6      1457   159    | 457    8      4579   |
 *--------------------------------------------------------------------*
Loop
(6=5)r1c3-r1c4=r4c4-(5=2)r4c9-r5c7=(2-6)r2c7=r2c1-6r1c3 => -56r1c1 -4r2c7 -5r4c6 -2r5c9; ste


Dan,

What's with the last term, -6r1c3? Why doesn't the loop complete with the 6 in r2c1?


A good notation is to use -loop rather than the -6r1c3. That clearly identifies a loop with no need to identify it at the outset with a heading/title.
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Re: AU Tough February 27, 2013

Postby ArkieTech » Wed Feb 27, 2013 9:06 pm

Marty R. wrote:What's with the last term, -6r1c3? Why doesn't the loop complete with the 6 in r2c1?


My attempt to show the loop starts with 6 in r1c3 and ends with the same 6 in r1c3. Ignore it if it helps. :D
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Re: AU Tough February 27, 2013

Postby Marty R. » Wed Feb 27, 2013 10:25 pm

ArkieTech wrote:
Marty R. wrote:What's with the last term, -6r1c3? Why doesn't the loop complete with the 6 in r2c1?


My attempt to show the loop starts with 6 in r1c3 and ends with the same 6 in r1c3. Ignore it if it helps. :D


It may be a matter of semantics and/or interpretation.

(6=5)r1c3-r1c4=r4c4-(5=2)r4c9-r5c7=(2-6)r2c7=r2c1-6r1c3 => -56r1c1 -4r2c7 -5r4c6 -2r5c9; ste


As I read the first term, I think of it as starting the loop with a 5 ("if r1c3=5"). But thanks, I think I see where you're coming from and will understand similar notations in the future.
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Posts: 1419
Joined: 23 October 2012
Location: Rochester, New York, USA

Re: AU Tough February 27, 2013

Postby aran » Thu Feb 28, 2013 1:10 pm

Code: Select all
 *--------------------------------------------------------------------*
 | 356    7      56     | 15     28     4      | 9      136    28     |
 | 69     1      49     | 37     2378   238    | 246    5      248    |
 | 8      345    2      | 9      15     6      | 47     134    147    |
 |----------------------+----------------------+----------------------|
 | 4      9      8      | 15     6      125    | 3      7      25     |
 | 2356   2356   56     | 8      9      7      | 245    14     1245   |
 | 7      25     1      | 34     2345   235    | 8      9      6      |
 |----------------------+----------------------+----------------------|
 | 569    456    479    | 2      4578   589    | 1      46     3      |
 | 1569   8      479    | 347    13457  1359   | 4567   2      4579   |
 | 1259   245    3      | 6      1457   159    | 457    8      4579   |
 *------------------------------------------------------------------

ArkieTech : nice loop !

Taking a different perspective
an xy chain constitutes an ALS (no requirement to be in a single house)
so r2c1+r1c3+r1c4 = ALS 1569.
Suppose now that <56>r1c1 is targeted.
If the ALS is organised as {5691} and if we manage to dual link 91 to some other ALS, then we would have the result
Looking now at ALS {248}r12c9
9r2c1-(9=4)r2c3-4r2c9 : so 9-4 is one link (RC)
1r1c4-(1=5)r4c4-(5=2)r4c9-2r12c9 : so 1-2 is a second link (RC).

Hence <56>r1c1
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