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extreme # 917

 
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jan 14, 2008 8:14 am    Post subject: extreme # 917 Reply with quote

Code:
. 7 9 | 4 . . | 2 . .
. 3 . | . . . | . . .
5 2 . | . 7 3 | . 6 .
---------------------
4 . . | 3 . . | . . 9
. . . | . 8 . | . . .
2 . . | . . 9 | . . 5
---------------------
. 8 . | 9 3 . | . 4 1
. . . | . . . | . 8 .
. . 3 | . . 5 | 7 9 .


http://www.sudoku.org.uk/DailySudoku.asp?day=13/01/2008


what happened to the los angeles times and the daily telegraph puzzles?? the daily telegraph website hasn't had one since the new year.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Mon Jan 14, 2008 5:31 pm    Post subject: Reply with quote

the long and winding road ...

after basics, there is an xy-wing (78-84-47 pivot r6c7) removes 7 from r5c3.

But then ...

Code:


+--------------------------+--------------------------+--------------------------+
| 168     7       9        | 4       56      68       | 2       15      3        |
| 168     3       16       | 256     9       268      | 14      157     47       |
| 5       2       4        | 1       7       3        | 9       6       8        |
+--------------------------+--------------------------+--------------------------+
| 4       56      78       | 3       25      17       | 168     127     9        |
| 3       9       56       | 25      8       147      | 146     127     47       |
| 2       1       78       | 67      46      9        | 48      3       5        |
+--------------------------+--------------------------+--------------------------+
| 7       8       26       | 9       3       26       | 5       4       1        |
| 9       456     1256     | 267     1246    47       | 3       8       26       |
| 16      46      3        | 8       1246    5        | 7       9       26       |
+--------------------------+--------------------------+--------------------------+


From here, I needed 3 (three!) xy-chains and some more coloring (on 6) to solve the puzzle. There's got to be a better way!

___

LA times sudoku seems to be up http://games.latimes.com/index_sudoku.html?uc_feature_code=lasud&uc_full_date=20080111 but I remember having problems when I tried in December.
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Mon Jan 14, 2008 6:35 pm    Post subject: Reply with quote

Code:
 *---------------------------------------------------*
 |#168  7    9     | 4    56   #68   | 2    15   3   |
 |#168  3    16    | 256  9    #268  | 14   157  47  |
 | 5    2    4     | 1    7     3    | 9    6    8   |
 |-----------------+-----------------+---------------|
 | 4    56   78    | 3    25    17   | 168  127  9   |
 | 3    9    56    | 25   8     147  | 146  127  47  |
 | 2    1    78    | 67   46    9    | 48   3    5   |
 |-----------------+-----------------+---------------|
 | 7    8    2-6   | 9    3    @26   | 5    4    1   |
 | 9    456  1256  | 267  1246  47   | 3    8    26  |
 |@16   46   3     | 8    124-6 5    | 7    9    26  |
 *---------------------------------------------------*
UR 68: either (r12c1=1 => r9c1=6) or (r2c6=2 => r7c6=6).
=> r7c3<>6, r9c5<>6

But i had 2 xy-chains after that too (the longer one was enough to solve it).
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon Jan 14, 2008 6:50 pm    Post subject: Reply with quote

ok, I found the la times. friday's puzzle is tough
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Johan



Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium

PostPosted: Mon Jan 14, 2008 7:24 pm    Post subject: Reply with quote

After a naked [147] triple in C6 and a hidden [25] pair in Box 5, i found a 6-cell(ABCDEF) xy-chain, both pincer ends in R6C5(A) and R5C9(F) takes out <4>
in R5C6 and R6C7, which opens up an idle [26-56-25] xy-wing@, transporting the <2> from R7C3(R7C3=2 => R7C6=6 => R1C6=8 => R2C6=2 => R2C4=5 => R5C4=2) pins
<2> in R5C4, solving the puzzle.
Code:

+--------------------------+--------------------------+--------------------------+
| 168        7       9     | 4       B 56      68     | 2       C 15        3    |
| 168        3       16    | 256       9       268    | 14 D      157     E 47   |
| 5          2       4     | 1         7       3      | 9         6         8    |
+--------------------------+--------------------------+--------------------------+
| 4          56      5678  | 3         25      17     | 168       127       9    |
| 3          9      @567   |@25        8       1-[4]7 | 146       127     F 47   |
| 2          1       78    | 67      A 46      9      |-[4]8      3         5    |
+--------------------------+--------------------------+--------------------------+
| 7          8      @26    | 9         3       26     | 5         4         1    |
| 9          456     1256  | 267       1246    47     | 3         8         26   |
| 16         46      3     | 8         1246    5      | 7         9         26   |
+--------------------------+--------------------------+--------------------------+
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Mon Jan 14, 2008 10:29 pm    Post subject: Reply with quote

Ah, my chain to solve it had 8 cells (no 2 in r2c4 in my grid then - eliminated 5 in r1c5). But your 6-cell was there from the beginning.

Sorry to have pre-empted you with the UR, i am sure you (would have) spotted it Smile
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Tue Jan 15, 2008 1:39 am    Post subject: Reply with quote

From nataraj's position after the {478} XY Wing:

(2) {256} XY Wing pivot r5c3 with r5c4 transported to r2c6 removes <2> from r7c6.

(3) {47} W-Wing removes <7> from r5c6.

(4) {125} XY Wing pivot r4c8 removes <5> from r1c5.

This solves the puzzle without any chains (if you don't count the transported pincer) or DPs.
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Tue Jan 15, 2008 7:38 am    Post subject: Reply with quote

now that I did the puzzle again from my posted position above I realized that my first chain is almost the same as Asellus' first elimination - it starts with the same (useless) XY-wing, but transports both ends:

a) '26' (r7c6) - [xy wing 26-56-52] - '25' - '56'(r1c5) => r1c6=8

The second chain is short (just 4 cells, little more than a failed xy-wing with one leg added)

b) '14'(r2c7)-'15'(r1c8)-'56'(r1c5)-'46'(r6c5) => r6c7=8

No need for a third chain, only the coloring elimination in 6 I spoke of.

Asellus, I don't see how the w-wing (47) is connected (I assume the ends to be r5c9 and r8c6?)
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Tue Jan 15, 2008 11:28 am    Post subject: Reply with quote

nataraj wrote:
Asellus, I don't see how the w-wing (47) is connected (I assume the ends to be r5c9 and r8c6?)

Oops! It seems I had "crooked vision"! Somehow, I saw the <4> pair in b5 as lining up properly. Confused

I guess you need those chains after all.
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