"Potential Hardest" 7

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"Potential Hardest" 7

Postby mith » Thu Oct 15, 2020 6:37 pm

Code: Select all
+-------+-------+-------+
| 9 . . | . 8 . | . . . |
| . 7 . | 6 . . | . 9 . |
| 6 . 4 | . . . | . . 5 |
+-------+-------+-------+
| 7 . 6 | 3 . . | . 4 . |
| . . . | . . 1 | 3 . . |
| 1 . . | 9 . . | . 7 . |
+-------+-------+-------+
| . 1 . | . . 3 | . . . |
| 4 . . | . . . | 2 . . |
| . . 7 | 4 . . | . 1 . |
+-------+-------+-------+
9...8.....7.6...9.6.4.....57.63...4......13..1..9...7..1...3...4.....2....74...1.


(As a reminder, these are puzzles which are rated 11+ by SE, but fall to some advanced technique not implemented by SE.)
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Re: "Potential Hardest" 7

Postby Cenoman » Thu Oct 15, 2020 10:10 pm

Searching a "standard" Junior Exocet, it is relevant to try JE2(2358)r13c2, r6c3, r9c1.
The requirement of two cover houses is met for digit 3, but not for digits 2,5,8 (three cover columns)
Row 4 provides an extra cross line for those digits, while having no base digit in "S-cells" r4c13.
(Extended JE2 pattern, as proposed by yzfwsf)

Code: Select all
 +--------------------------+-------------------------+---------------------------+
 |  9     B25-3     1235    |  1257   8       2457    |  1467     236    123467   |
 |  2358   7        12358   |  6     <12345  <245     | <148      9     <12348    | CLB
 |  6     B28-3     4       |  127    12379   279     |  178      238    5        |
 +--------------------------+-------------------------+---------------------------+
 |  7      2589     6       |  3     <25     <258     | <1589     4     <1289     | Extra CL
 |  258    24589    258-9   |  2578   24567   1       |  3        2568   2689     |
 |  1      23458   T258-3   |  9     <2456   <24568   | <568      7     <268      | CL1
 +--------------------------+-------------------------+---------------------------+
 |  258    1        2589    |  2578   25679   3       |  456789   568    46789    |
 |  4      35689    3589    |  1578   15679   56789   |  2        3568   36789    |
 | T258-3  235689   7       |  4     <2569   <25689   | <5689     1     <3689     | CL2
 +--------------------------+-------------------------+---------------------------+
                                    CH(235)  CH(258)    CH(58)          CH(238)

Therefore, extended JE2(2358)r13c2, r6c3, r9c1 (with 4 cross-lines \ 3 cover houses for digit 2,5,8)
Elimination from the pattern -9 r5c3 (extra non base digit in mirror node)
Digit 3 is false in both mirror nodes => 3 is a false base digit, -3 r13c2, r6c3, r9c1; basics to the end
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Re: "Potential Hardest" 7

Postby SpAce » Fri Oct 16, 2020 11:55 pm

Basically the same as Cenoman's. (I just post it to keep track of what I've solved.)

Code: Select all
          \3                        \25_     \258      \_58           \2_8
.---------------------------.------------------------.------------------------.
|  9      b25-3      1235   | 1257   8^       2457   |  1467    236    123467 |
| e2358    7        e2358'1 | 6     s25'134  s25'4   | s8'14    9     s28'134 | *258
|  6      b28-3      4      | 127    12379    279    |  178     238    5^     |
:---------------------------+------------------------+------------------------:
|  7      e258'9     6      | 3^    s25      s258    | s58'19   4     s28'19  | *258
|  258     258'49   m258-9  | 2578   24567    1      |  3^      2568   2689   |
|  1      e2358'4   t258-3  | 9     s25'46   s258'46 | s58'6    7     s28'6   | *2358
:---------------------------+------------------------+------------------------:
| m258     1         2589   | 2578   25679    3^     |  456789  568    46789  |
|  4       35689     3589   | 1578   15679    56789  |  2^      3568   36789  |
| t258-3  e2358'69   7      | 4     s25'69   s258'69 | s58'69   1     s8'369  | *258
'---------------------------'------------------------'------------------------'

3s-JE2 (2358)r13c2,r6c3,r9c1 : 2c569,3c2,5c567,8c679 =>

-9 r5c3 (non-base-digit in mirror)
-3 r6c3,r9c1,r13c2 (false base-digit due to missing mirrors); btte
-SpAce-: Show
Code: Select all
   *             |    |               |    |    *
        *        |=()=|    /  _  \    |=()=|               *
            *    |    |   |-=( )=-|   |    |      *
     *                     \  ¯  /                   *   

"If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi."
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