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[yzfwsf]

Code: Select all

,-----------------------,--------------------,------------------,
| 689     2      3      | 189     7     5    | 68    1689  4    |
| 4789    49     1478   | 123489  1239  6    | 5     129   1278 |
| 46789   4569   145678 | 12489   129   1249 | 2678  3     1278 |
:-----------------------+--------------------+------------------:
| 5       7      246    | 2469    8     249  | 234   124   123  |
| 2468    1      2468   | 2467    256   3    | 9     2458  278  |
| 2348    34     9      | 1247    125   1247 | 2478  2458  6    |
:-----------------------+--------------------+------------------:
| 2369    8      256    | 12369   4     129  | 236   7     235  |
| 1       346    2467   | 5       236   27   | 2348  468   9    |
| 234679  34569  24567  | 23679   2369  8    | 1     246   235  |
'-----------------------'--------------------'------------------'

This PM has a zero rank structure with 17 or more eliminations.

BTW: I will post 10 PMs for this series(Rank 0 challenge).

[pjb]

Hi yzfwsf

Would it be possible to indicate which are givens and which are solved. If r1c6 and r2c67 are solved cells, then there is an avoidable rectangle that greatly simplifies the puzzle.

Phil

[yzfwsf]

Hi:Phil
Only r1c6 is a solved cell.

YZF

[Cenoman]

Code: Select all

,-----------------------,--------------------,------------------,
| 689     2      3      | 189     7     5    | 68    169-8 4    |
| 478-9   49     1478   | 2348-19 123-9 6    | 5     129   1278 |
| 46789   569-4  145678 | 2489-1  129   249-1| 2678  3     1278 |
:-----------------------+--------------------+------------------:
| 5       7      246    | 2469    8     249  | 234   124   123  |
| 2468    1      2468   | 2467    56-2  3    | 9     2458  278  |
| 2348    34     9      | 1247    15-2  1247 | 2478  2458  6    |
:-----------------------+--------------------+------------------:
| 2369    8      256    | 12369   4     129  | 236   7     235  |
| 1       346    247-6  | 5       236   27   | 2348  468   9    |
| 23479-6 59-346 2457-6 | 2379-6  2369  8    | 1     246   235  |
'-----------------------'--------------------'------------------'

Kraken row (6)r7c1347
(6)r7c13 - r8c2 = (6-59)r39c2 = r2c2 - r2c8 = (9-1)r1c8 = (1)r1c4@
(6)r7c4 - r89c5 = (6-5)r5c5 = (5-1)r6c5 = (1)r23c5@
(6)r7c7 - r89c8 = (6-1)r1c8 = (1)r1c4@
17 eliminations

[yzfwsf]

Region Type Blossom Loop: 6r7c1347 => b2p479 <> 1, r56c5 <> 2, r9c2 <> 3, r39c2 <> 4, r9c1234,r8c3 <> 6, r1c8 <> 8, r2c145 <> 9
Loop: 6r7c4 - r45c4 = (6-5)r5c5 = (5-1)r6c5 = r23c5 - r1c4 = (1-6)r1c8 = r89c8 - 6r7c7
Branch: 6r7c1 - (6=349)r268c2 - r2c8 = 9r1c8

Hi Cenoman
Your solution is very close to the solver.