The New Sudoku Players' Forum

[eleven]

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 . . 1 2 . . . . 3
 . . . . . 1 4 . .
 5 . . . . . . 6 .
 3 . . 7 . . . 2 .
 . . . . 8 . . . .
 . 7 . . . 9 . . 6
 . 2 . . . . . . 7
 . . 8 5 . . . 4 .
 1 . . . . 3 9 . .

[JC Van Hay]

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+----------------------+----------------------+------------------------+
| 46789  4689    1     | 2      45679   45678 | 578      5789   3      |
| 26789  3689    23679 | 3689   35679   1     | 4        5789   2589   |
| 5      3489    23479 | 3489   3479    478   | -78(12)  6      289(1) |
+----------------------+----------------------+------------------------+
| 3      145689  4569  | 7      1456    456   | 158      2      4589-1 |
| 2469   14569   24569 | 1346   8       2456  | 1357     13579  459-1  |
| 248    7       245   | 134    12345   9     | 1358     1358   6      |
+----------------------+----------------------+------------------------+
| 469    2       34569 | 14689  1469    468   | 13568    1358   7      |
| 679    369     8     | 5      1679-2  67-2  | 136(2)   4      (12)   |
| 1      456     4567  | 468    2467    3     | 9        58     58-2   |
+----------------------+----------------------+------------------------+

M-Ring{2C7, 1R3, (12)r8c9} -> -{(78)r3c7, 1r45c9, 2r8c56, 2r9c9}; lclste :

3 singles
HP(46)r9c24; 2 singles
HP(15)r45c2; 4 singles
LC(4L6) -> HP(49)r4c39; stte

[eleven]

Ah, it was a mistake by me, that it would solve with singles ...

[pjb]

Code: Select all

 46789   4689    1      | 2      45679  45678  | 578    5789   3     
 26789   3689    23679  | 3689   35679  1      | 4      5789   2589   
 5       3489    23479  | 3489   3479   478    |d1278   6     e1289   
------------------------+----------------------+---------------------
 3       145689  4569   | 7      1456   456    | 158    2      14589 
 2469    14569   24569  | 1346   8      2456   | 1357   13579  1459   
 248     7       245    | 134    12345  9      | 1358   1358   6     
------------------------+----------------------+---------------------
 469     2       34569  | 14689  1469   468    | 13568  1358   7     
 679     369     8      | 5      1679-2 67-2   |c1236   4     f12     
 1       456     4567   | 468   a2467   3      | 9      58    b58-2   


(2)r9c5 = r9c9 - r8c7 = (2-1)r3c7 = r3c9 - (1=2)r8c9 => -2 r8c56, r9c9; lclste

Phil

[champagne]

Ah, it was a mistake by me, that it would solve with singles ...

Hi eleven,

Considering that

- serate is a very old program not touched for years
- most of the players have a preliminary rating using their own tools

it would have been an unbelievable bug

[eleven]

Hi champagne,

not sure, what you mean. I never doubted the rating. My mistake was, that i missed, that after the step below still pairs (and LC) are needed to solve the puzzle. Since JC's step eliminated even more, but he notated it with lclste (basics needed from here), i realized it. Normally i post puzzles, where i do have a step with stte solution, so i wanted to let the others know, that i didn't find anything better.

Btw. the puzzles from the pattern game are considerably harder for this game, with their early hard step. Usually the puzzles here have a 7.1 rating and one-steppers are not hard to find.
But i tried a dozen 7.0's or 7.1's from the PG - no chance.

Code: Select all

 *---------------------------------------------------------------------------------*
 |  46789   4689     1       |  2       45679   45678   |  578     5789    3       |
 |  26789   3689     23679   |  3689    35679   1       |  4       5789   #2589    |
 |  5       3489     23479   |  3489    3479    478     | #12-78   6      #1289    |
 |---------------------------+--------------------------+--------------------------|
 |  3       145689   4569    |  7       1456    456     |  158     2       4589-1  |
 |  2469    14569    24569   |  1346    8       2456    |  1357    13579   459-1   |
 |  248     7        245     |  134     12345   9       |  1358    1358    6       |
 |---------------------------+--------------------------+--------------------------|
 |  469     2        34569   |  14689   1469    468     |  13568   1358    7       |
 |  679     369      8       |  5       12679   267     |  1236    4      #12      |
 |  1       456      4567    |  468     2467    3       |  9       58      58-2    |
 *---------------------------------------------------------------------------------*

If you look at 12r9c8 and box 3, it is easy too see, that the digit from r9c8 will go to r3c7 and the other to r23c9 (a "quantum" cell). So there are 2 quantum pairs 12 in r3c7&r23c9 and r23c9&r8c9.
Same result as from this equivalent loop:
1r3c7=1r3c9-(1=2)r8c9-2r23c9=2r3c7, loop => -78r3c7,-1r45c9,-2r9c9; lclste