The New Sudoku Players' Forum

[ArkieTech]

Code: Select all

 *-----------*
 |.1.|92.|...|
 |...|..7|..8|
 |..4|.38|6..|
 |---+---+---|
 |.23|...|..9|
 |6.7|...|1.5|
 |1..|...|72.|
 |---+---+---|
 |..1|35.|4..|
 |3..|7..|...|
 |...|.61|.8.|
 *-----------*


Play/Print this puzzle online

[pjb]

Code: Select all

578    1     c568    | 9      2     d46     | 35     3457   347   
259    3      2569   | 4-6    1      7      | 259    459    8     
279    79     4      | 5      3      8      | 6      179    127   
---------------------+----------------------+---------------------
45     2      3      | 1      7      5-6    | 8      46     9     
6      489    7      | 28     49     23     | 1      34     5     
1      4589  b589    |a68     49     35-6   | 7      2      346   
---------------------+----------------------+---------------------
2789   6789   1      | 3      5      29     | 4      679    267   
3      4569   259    | 7      8      249    | 259    1569   126   
24579  4579   259    | 24     6      1      | 2359   8      237

(6=8) r6c4 - r6c3 = (8-6) r1c3 = r1c6 => -6 r2c4, r46c6; stte

Phil

[tlanglet]

Sometimes the long or messy solutions are the most fun........

Code: Select all

*--------------------------------------------------------------------*
 | 578    1      568    | 9      2     *46     | 35     3457   3-47   |
 | 259    3      2569   | 46     1      7      | 259    459    8      |
 | 279    79     4      | 5      3      8      | 6      179    127    |
 |----------------------+----------------------+----------------------|
 | 45     2      3      | 1      7      56     | 8      46     9      |
 | 6      489    7      | 28     49     23     | 1      34     5      |
 | 1      4589   589    | 68     49    *36=5   | 7      2     *34=6   |
 |----------------------+----------------------+----------------------|
 | 2789   6789   1      | 3      5      29     | 4      679    267    |
 | 3      4569   259    | 7      8      249    | 259    1569   126    |
 | 24579  4579   259    | 24     6      1      | 2359   8      237    |
 *--------------------------------------------------------------------*


Almost Almost xy-wing (36-4) with pivot (36=5)r6c6 and pincers (34=6)r6c9, (46)r1c6 => r1c9<>4
xy-wing(34-6) => r1c9<>4
||
5r6c6-(5=64)r41c6 => r1c9<>4
||
6r6c9-(6=824)r659c4-4r8c6=4r1c6 => r1c9<>4

Ted

[tlanglet]

Another "out of the norm" solution is an Almost Almost x-wing (or x-wing with double Kraken fins) (4)r56c25 with fins 4r89c2 => r5c8<>4

Code: Select all

*--------------------------------------------------------------------*
 | 578    1      568    | 9      2     c46     | 35    d3457  d347    |
 | 259    3      2569   | 46     1      7      | 259   e459    8      |
 | 279    79     4      | 5      3      8      | 6      179    127    |
 |----------------------+----------------------+----------------------|
 | 45     2      3      | 1      7      56     | 8      46     9      |
 | 6     *489    7      |h28    *49    i23     | 1     j3-4    5      |
 | 1     *4589   589    | 68    *49     356    | 7      2      346    |
 |----------------------+----------------------+----------------------|
 | 2789   6789   1      | 3      5      29     | 4      679    267    |
 | 3      a4569   259    | 7      8    b249    | 259    1569   126    |
 | 24579 f4579   259    |g24     6      1      | 2359   8      237    |
 *--------------------------------------------------------------------*


x-wing(4)r565c25 => r5c8<>4
||
4r8c2-r8c6=r1c6-r1c89=r2c8 => r5c8<>4
||
4r9c2-(4=2)r9c4-r5c4=(2-3)r5c6=3r5c8 => r5c8<>4

Ted

[Marty R.]

Code: Select all

+-----------------+-----------+---------------+
| 578   1    568  | 9  2  46  | 35   3457 347 |
| 259   3    2569 | 46 1  7   | 259  459  8   |
| 279   79   4    | 5  3  8   | 6    179  127 |
+-----------------+-----------+---------------+
| 45    2    3    | 1  7  56  | 8    46   9   |
| 6     489  7    | 28 49 23  | 1    34   5   |
| 1     4589 589  | 68 49 356 | 7    2    346 |
+-----------------+-----------+---------------+
| 2789  6789 1    | 3  5  29  | 4    679  267 |
| 3     4569 259  | 7  8  249 | 259  1569 126 |
| 24579 4579 259  | 24 6  1   | 2359 8    237 |
+-----------------+-----------+---------------+


Play this puzzle online at the Daily Sudoku site

XY-Chain (4=6)r2c4-(6=8)r6c4-(8=4)r5c468=>r2c8<>4

I shortened the notation as much as I know how to. Shorter apparently is better, but is it really? If the purpose of notation is to show the reader the solver's path, then I would think writing the full XY-Chain is clearer and easier to follow than the shortened version, especially for the person who is new to notation. Being relatively new to notation, I can speak with authority on that last point. Below is the unabridged version:

XY-Chain (4=6)r2c4-(6=8)r6c4-(8=2)r5c4-(2=3)r5c6-(3=4)r5c8=>r2c8<>4

[daj95376]

XY-Chain (4=6)r2c4-(6=8)r6c4-(8=4)r5c468=>r2c8<>4

I shortened the notation as much as I know how ...

You could have also shortened the first two terms.

XY-Chain (4=8)r26c4-(8=4)r5c468=>r2c8<>4

And you could have reduced that even further.

XY-Chain (4=4)r26c4,r5c468=>r2c8<>4

There's almost no limit to the fun you can have bastardizing the Eureka notation. _ _

[Marty R.]

XY-Chain (4=4)r26c4,r5c468=>r2c8<>4

There's almost no limit to the fun you can have bastardizing the Eureka notation. _ _

I'm sure if I came across that string while I was learning, I'd have quit and started doing more crosswords.