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French's forum - 292 hard

 
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ttt



Joined: 06 Dec 2008
Posts: 42
Location: vietnam
PostPosted: Sat Dec 06, 2008 9:08 am    Post subject: French's forum - 292 hard Reply with quote
Hi All,
I’m new , but I know some of you here - especially Adam, Danny, ravel… Very Happy
Bellow puzzle from French’s forum here : #292-hard.
Code:
*-----------*
 |1..|...|..2|
 |.34|..1|...|
 |.2.|.5.|.6.|
 |---+---+---|
 |..7|4..|..8|
 |...|.9.|...|
 |3..|..8|5..|
 |---+---+---|
 |.5.|.6.|.4.|
 |...|7..|89.|
 |4..|...|..3|
 *-----------*
 
 *-----------------------------------------------------------------------------*
 | 1       6789    5689    | 3689    3478    34679   | 3479    3578    2       |
 | 56789   3       4       | 2689    278     1       | 79      578     579     |
 | 789     2       89      | 389     5       3479    | 13479   6       1479    |
 |-------------------------+-------------------------+-------------------------|
 | 2569    169     7       | 4       123     2356    | 12369   123     8       |
 | 2568    1468    12568   | 12356   9       23567   | 123467  1237    1467    |
 | 3       1469    1269    | 126     127     8       | 5       127     14679   |
 |-------------------------+-------------------------+-------------------------|
 | 2789    5       12389   | 12389   6       239     | 127     4       17      |
 | 26      16      1236    | 7       1234    2345    | 8       9       156     |
 | 4       16789   12689   | 12589   128     259     | 1267    1257    3       |
 *-----------------------------------------------------------------------------*


01. (hp78)r7c1/r9c2=(8)r79c3-(8=9)r3c3-(9)r79c3=(hp79)r7c1/r9c2
=> loop => r7c1#2, r9c2#16, r1c3#89, r5c3#8, r6c3#9
02. 6’s r6c3=r6c4-r2c4=r2c1 => r1c3, r45c1#6, single r1c3=5
03. 6’s r6c4=r6c3-r9c3=r9c7-r8c9=r5c9 => r5c346#6
04. (hp79=5)r2c89-(5=hp16)r8c29-(6)r8c1=96)r2c1 => r2c1#79
05. 9’s r6c9=r6c2-r1c2=r3c13 => r3c9#9
06. Present as diagram: => r5c79#7
Code:
AALS(46)r5c279 
 ||
(46)r5c79
 ||
(4)r5c2-(4)r6c2=(4)r6c9—-(4=hp17)r37c9
 ||                    |
 ||                     -(9)r6c9=(9)r4c7-(9=7)r2c7
 ||
(6)r5c2--(6)r6c3=(6)r6c4-(6)r12c4=(6)r1c6--------------(7)r1c6
       |                                 |              ||
       |                                  --(4)r1c6     ||
       |                                     ||         ||
        ----------(6)r5c9=(6-5)r8c9=(5)r8c6-(4)r8c6     ||
                                             ||         ||
                                            (4)r3c6----(7)r3c6
                                                        ||
                                                       (7)r5c6

07. Kraken column: => r2c9#9, some singles

Code:
(8)r1c2-(8)r1c8=(8-5)r2c8=(5)r2c9
 ||
(8-4)r5c2=(4)r6c2-(4=9)r6c9
 ||
(8-7)r9c2=(7)r9c7-(7=9)r2c7

08. (1)r3c7=(1)r3c9-(1=7)r7c9-(7=5)r2c9-(5=8)r2c8-(8=3)r1c8 => r3c7#3
09. (hp12=6)r56c3-(6)r6c4=(6-5)r4c6=(5-9)r4c1=(9)r4c2 => r4c1#1
10. (9)r4c2=(9-5)r4c1=(5)r4c6-(5)r8c6=(5-6)r8c9=(6-7)r9c7=(7)r9c2 => r9c2#9
11. Kraken cell: => r1c2#9, single r4c2=9

Code:
(9)r1c4
 ||
(6)r1c4-(6)r1c6=(6)r4c6-(6=9)r4c2
 ||
(8)r1c4-(8)r1c8=(8-5)r2c8=(5)r2c9-(5)r8c9=(5)r8c6-(5)r4c6=(5-9)r4c1=(9)r4c2

12. (6)r4c6=(6)r4c7-(6)r5c9=(6-5)r8c9=(5)r8c6 => r4c6#5, single r4c1=5
13. (6)r9c3=(6-7)r9c7=(7)r9c2-(7=9)r7c1 => r9c3#9, SSTS to the end

Edit: when I use "<>" to show eliminations I can't preview then I had to use " # "...
Thanks to all,

ttt
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Sun Dec 07, 2008 1:33 am    Post subject: Reply with quote
ttt wrote:
when I use "<>" to show eliminations I can't preview then I had to use " # "

Try using the "Disable HTML in this post" option.
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Sun Dec 07, 2008 2:13 am    Post subject: Reply with quote
Some comments on this solution that may help others not so comfortable with all of the notation.

01: This is a 123689 Sue de Coq in b7 and c3. (A naked quad results.)
02: This is a Skyscraper.
03: This can be seen as (multi)coloring. Alternately, it is a Kite in r9 and c9 (for r5c3<>6), with pincer transport from r9c3 to r6c4 (for r5c46<>6).
04: There are some typos:
(hp79=5)r2c79-(5=hp16)r8c29-(6)r8c1=(6)r2c1 => r2c1<>79
An alternate way to write the same thing:
(79)r2c1 - ALS[{79}r2c79=(5)r2c9] - ALS[(5)r8c9=(6)r8c29] - (6)r8c1=[6-(79)]r2c1; r2c1<>79

05: This is an ER (in b1 with conjugate pair in r6).

06: For me, the start of this multiply-branched AIC is clearer this way:
Code:
                                (4)r6c2 ...
                              /
(7)r5c79 - {46}r5c79=(46)r5c2 - (6)r6c3 ...
                              \
                                (6)r5c9 ...

The remaining steps are what they are with no further comments except for a typo in 09: r4c2<>1.

After step 13, it is still a multiple step slog until the puzzle is solved.

A note on my "{}" notation: I use this to denote a set, as opposed to a group. A set is true when all of its members are true and false in all other cases. A group of digits is shown in parentheses and is false when all of its members are false and true in all other cases.
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ttt



Joined: 06 Dec 2008
Posts: 42
Location: vietnam
PostPosted: Sun Dec 07, 2008 7:16 am    Post subject: Reply with quote
Hi Asellus,

Thank you very much!

Asellus wrote:
06: For me, the start of this multiply-branched AIC is clearer this way:
Code:
                                (4)r6c2 ...
                              /
(7)r5c79 - {46}r5c79=(46)r5c2 - (6)r6c3 ...
                              \
                                (6)r5c9 ...


In fact, I found this step based on considering (46)r5c279 on row 5 and viewed it as AALS.

Thanks again,
ttt
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