The New Sudoku Players' Forum

[harvdog]

I looked for x-wings with no success.. .now what?

Code: Select all

7--|---|6-2
2--|6--|187
1-6|---|--9
------------
-1-|--6|-95
--2|589|--1
-9-|3--|-26
------------
9--|---|5-8
-23|--7|9-4
--1|---|2-3

[Pat]

Code: Select all

 7 . . | . . . | 6 . 2
 2 . . | 6 . . | 1 8 7
 1 . 6 | . . . | . . 9
-------+-------+------
 . 1 . | . . 6 | . 9 5
 . . 2 | 5 8 9 | . . 1
 . 9 . | 3 . . | . 2 6
-------+-------+------
 9 . . | . . . | 5 . 8
 . 2 3 | . . 7 | 9 . 4
 . . 1 | . . . | 2 . 3



sorry, it has more than one answer

[harvdog]

When you say the puzzle has more than one solution, are you saying it is somehow corrupted or not worthy of completing?

Harv

[Glyn]

harvdog There must be some corruption of the puzzle. As Pat reported there are multiple solutions, 120 in fact. Can you post the original grid?

[JPF]

Could be this one :

Code: Select all

 
 7 . . | . . . | 6 . .
 2 . . | 6 . . | 1 8 .
 . . 4 | . . . | . . 9
-------+-------+-------
 . 1 . | . . 6 | . 9 .
 . . . | 5 8 9 | . . .
 . 9 . | 3 . . | . 2 .
-------+-------+-------
 9 . . | . . . | 5 . .
 . 2 3 | . . 7 | . . 4
 . . 1 | . . . | . . 3



JPF

[enxio27]

When you say the puzzle has more than one solution, are you saying it is somehow corrupted or not worthy of completing?

Most long-time sudoku players are of the opinion that a "real" sudoku puzzle has only one solution; multiple-solution puzzles aren't considered to be true sudoku. Personally, I think that multiple-solution puzzles are a waste of my time, considering that there are so many hundreds of thousands of single-solution sudoku available.

Unfortunately many handhelds, freeware programs, Web sites, books, etc. haven't yet figured out the difference, and put out many multi-solution puzzles. Exasperatingly, a number of them seem to think that only their solution is the "right" one. There is a thread in these forums dedicated to enumerating these "Sudokus of Shame": http://forum.enjoysudoku.com/viewtopic.php?t=3071

[daveisme]

BAD information are worst than NO information.

"The grid has multiple solutions." is not the problem.
The problem is "There is no information about the multiple solutions."
Sudoku by definition, each grid has only one solution.
So, it shall be ONLY ONE.

IMHO, multiple solution grids are more interesting mathematically.
At http://www.subundle.com/, they intentionally create grids with multiple solutions.
But with proper hints, the same grid can now be played by players of different levels.

May not be sudoku grid anymore, but maybe a better game.

[daj95376]

BAD information are worst than NO information.

"The grid has multiple solutions." is not the problem.
The problem is "There is no information about the multiple solutions."

Code: Select all

 original grid
 +-----------------------+
 | 7 . . | . . . | 6 . 2 |
 | 2 . . | 6 . . | 1 8 7 |
 | 1 . 6 | . . . | . . 9 |
 |-------+-------+-------|
 | . 1 . | . . 6 | . 9 5 |
 | . . 2 | 5 8 9 | . . 1 |
 | . 9 . | 3 . . | . 2 6 |
 |-------+-------+-------|
 | 9 . . | . . . | 5 . 8 |
 | . 2 3 | . . 7 | 9 . 4 |
 | . . 1 | . . . | 2 7 3 |
 +-----------------------+


Code: Select all

 PM after SSTS
 +-----------------------------------------------------------------------+
 |  7      3458   4589   |  1489   13459  13458  |  6      345    2      |
 |  2      345    459    |  6      3459   345    |  1      8      7      |
 |  1      3458   6      |  2478   23457  23458  |  34     345    9      |
 |-----------------------+-----------------------+-----------------------|
 |  348    1      478    |  247    247    6      |  3478   9      5      |
 |  346    (4)67  2      |  5      8      9      |  347    34     1      |
 |  458    9      4578   |  3      147    14     |  478    2      6      |
 |-----------------------+-----------------------+-----------------------|
 |  9      467    47     |  124    12346  (1)234 |  5      16     8      |
 |  568    2      3      |  18     156    7      |  9      16     4      |
 |  4568   4568   1      |  489    4569   458    |  2      7      3      |
 +-----------------------------------------------------------------------+


Code: Select all

 PM of every possible cell value from 120 possible solutions
 +-----------------------------------------------------------------------+
 |  7      3458   4589   |  1489   13459  13458  |  6      345    2      |
 |  2      345    459    |  6      3459   345    |  1      8      7      |
 |  1      3458   6      |  2478   23457  23458  |  34     345    9      |
 |-----------------------+-----------------------+-----------------------|
 |  348    1      478    |  247    247    6      |  3478   9      5      |
 |  346    67     2      |  5      8      9      |  347    34     1      |
 |  458    9      4578   |  3      147    14     |  478    2      6      |
 |-----------------------+-----------------------+-----------------------|
 |  9      467    47     |  124    12346  234    |  5      16     8      |
 |  568    2      3      |  18     156    7      |  9      16     4      |
 |  4568   4568   1      |  489    4569   458    |  2      7      3      |
 +-----------------------------------------------------------------------+


Code: Select all

~~~~~ Template Entries Remaining
<1> =     6
<2> =     4
<3> =    20
<4> =   214
<5> =    15
<6> =     6
<7> =     6
<8> =    14
<9> =     3
~~~~~


[Pat]

BAD information are worst than NO information.

"The grid has multiple solutions." is not the problem.
The problem is "There is no information about the multiple solutions."

thanks, daveisme, i stand corrected.

~ Pat

[udosuk]

BAD information are worst than NO information.

"The grid has multiple solutions." is not the problem.
The problem is "There is no information about the multiple solutions."

I bet submacrolize can give you heaps of GOOD information. All 120 of them.

[Draco]

BAD information are worst than NO information.

"The grid has multiple solutions." is not the problem.
The problem is "There is no information about the multiple solutions."

I bet submacrolize can give you heaps of GOOD information. All 120 of them.

Hmm, now you have me wondering if Daveisme might be affiliated with this new website and is more subtle/clever in his promotion efforts than Submacrolize was ...

Cheers...

- drac