"ΓΔσ" (SE = 7.3)

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"ΓΔσ" (SE = 7.3)

Postby jco » Fri Dec 12, 2025 9:39 am

Code: Select all
+-------+-------+-------+
| . . 9 | . . . | 4 5 . |
| . 1 . | . . . | . . 7 |
| . . . | 1 . 8 | . . . |
+-------+-------+-------+
| . . . | 2 . 6 | . . 9 |
| 4 . . | . 8 . | . . . |
| . . 5 | . . . | . 2 . |
+-------+-------+-------+
| 9 7 . | . . . | . . 4 |
| . . . | 3 . 7 | . 8 . |
| 3 . 6 | . . 5 | . . . |
+-------+-------+-------+
..9...45..1......7...1.8......2.6..94...8......5....2.97......4...3.7.8.3.6..5...


(Source: Sudoku Architect)
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Re: "ΓΔσ" (SE = 7.3)

Postby Cenoman » Fri Dec 12, 2025 8:14 pm

Code: Select all
 +-----------------------+-----------------------+-------------------+
 |  2678   2368   9      |  6-7   2367    23*    |  4      5    1    |
 |  26     1      234    |  5     23469   49-23  |  8      69   7    |
 |  567    456    47     |  1     4679    8      |  2      69   3    |
 +-----------------------+-----------------------+-------------------+
 |  178    38     1378   |  2     5       6      |  137    4    9    |
 |  4      2369   1237   |  79*   8       139*   |  1367   17   5    |
 |  167    369    5      |  479*  19-347  1349*  |  1367   2    8    |
 +-----------------------+-----------------------+-------------------+
 |  9      7      128    |  68    126     12*    |  5      3    4    |
 |  125    245    124    |  3     1249    7      |  19     8    6    |
 |  3      48     6      |  489   149     5      |  179    17   2    |
 +-----------------------+-----------------------+-------------------+

MSLS:
6 cells, r56c4, r1567c6;
6 links 7c4, 123c6, 49b5
6 eliminations: -7 r1c4, -23 r2c6, -479 r6c5; ste

Edit: corrected the list of eliminations (9r6c5 instead of 3r6c5 :oops: )
Last edited by Cenoman on Sat Dec 13, 2025 10:52 pm, edited 1 time in total.
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Re: "ΓΔσ" (SE = 7.3)

Postby eleven » Sat Dec 13, 2025 9:07 pm

... or 6 cells, 6 digits 123479, none can be twice => delete each from the rest of it's unit.
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Re: "ΓΔσ" (SE = 7.3)

Postby Cenoman » Sat Dec 13, 2025 10:43 pm

Yes,
...and still other ways to play with this 6-cell rank 0 pattern:

...or Sue de Coq: AALS (1349)r56c6, ALS1 (479)r56c4, ALS2 (123)r17c6, RC's (4,9) & (1,3) resp. => -7 r1c4, -23 r2c6, -479 r6c5
...or doubly linked ALS-XZ rule: (749)r56c4 - (49123)r1567c6, same eliminations,
...or loop: (4)r6c4 = (4-9)r9c4 = r56c4 - r56c9 = (9-4)r2c6 = (4)r6c6@ => -49 r6c5, -8 r9c4, - 23r2c6; ste
(not exactly the initial six cells, but note that r9c4 and r2c6 are resp. the dual AHS's of the two ALS's at the line just above)
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