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Hard puzzles, chains are not required. Rarely, ALS is.
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wapati

Joined: 12 Jun 2007
Posts: 627
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PostPosted: Thu Jul 17, 2008 10:36 pm    Post subject: Reply with quote

I don't think you can find all six if you use them. Smile

Some eliminate others, if you act on them before you finish looking.

Even worse, there is a w-wing that can eliminate all of them!
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arkietech

Joined: 09 Mar 2007
Posts: 22
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PostPosted: Fri Jul 18, 2008 3:11 am    Post subject: Reply with quote

Wapati said:
Quote:
I don't think you can find all six if you use them.


Code:
 *--------------------------------------------------*
 |^37   9    2    | 1    45   47-3 | 6    357  8    |
 | 4    137  167  | 35   8    367  | 25   9    27   |
 | 5    8  ^*67   | 9    2   ^36-7 | 4   *37   1    |
 |----------------+----------------+----------------|
 | 1    4    8    | 57   6    9    | 35   2    37   |
 | 37   2    5    | 47   34   1    | 9    8    6    |
 | 6   *37   9    | 2    35   8    | 1   *57   4    |
 |----------------+----------------+----------------|
 | 8    5    3    | 6    1    2    | 7    4    9    |
 | 2   *17  *17   | 34   9    34   | 8    6    5    |
 | 9    6    4    | 8    7    5    | 23   1    23   |
 *--------------------------------------------------*
ur hidden r28c23(17)=>r2c23<>7
swordfish(7)
xy-wing
..small moves to a bug+1


Here is the best solution I found. A new and different puzzle just by going a different way.

dan
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wapati

Joined: 12 Jun 2007
Posts: 627
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Location: Canada

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PostPosted: Fri Jul 18, 2008 3:20 am    Post subject: Reply with quote

From your markup a single w-wing solves it.
The strong link in c2 forces one of the 35s in r2c4 or r6c5 to be 5.
That has some eliminations that solve it all.

Code:
 *--------------------------------------------------*
 | 37   9    2    | 1    4-5  347  | 6    357  8    |
 | 4   *137  167  |#35   8    367  | 25   9    27   |
 | 5    8    67   | 9    2    367  | 4    37   1    |
 |----------------+----------------+----------------|
 | 1    4    8    | 7-5  6    9    | 35   2    37   |
 | 37   2    5    | 47   34   1    | 9    8    6    |
 | 6   *37   9    | 2   #35   8    | 1    57   4    |
 |----------------+----------------+----------------|
 | 8    5    3    | 6    1    2    | 7    4    9    |
 | 2    17   17   | 34   9    34   | 8    6    5    |
 | 9    6    4    | 8    7    5    | 23   1    23   |
 *--------------------------------------------------*


As you say, different paths make for different puzzles!
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arkietech

Joined: 09 Mar 2007
Posts: 22
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PostPosted: Fri Jul 18, 2008 1:05 pm    Post subject: Reply with quote

wapati said:
Quote:
From your markup a single w-wing solves it.

Wow! I did not see that one.

dan
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wapati

Joined: 12 Jun 2007
Posts: 627
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PostPosted: Fri Jul 18, 2008 1:55 pm    Post subject: Reply with quote

Sword, sword+, hidden UR, W-wing.

Sudoku Cue and JSudoku don't agree on whether some patterns are finned swordfish or sashimi swordfish. To make it a tad worse sashimi patterns can have a fin. <sigh> I will call sashimi/finned swords "sword+" when I am not certain, or when I am lazy. Smile

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

Joined: 12 Jun 2007
Posts: 627
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Location: Canada

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PostPosted: Sat Jul 19, 2008 2:28 pm    Post subject: Reply with quote

Hidden UR, swordfish, W-wing, BUG.
(A second w-wing can bypass the hidden UR.)

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

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Posts: 627
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Location: Canada

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PostPosted: Sun Jul 20, 2008 11:41 am    Post subject: Reply with quote

Tough at the start, after SSTs a finned jelly is visible.
Possible jelly, sashimi sword, finned jelly, UR.

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

Joined: 12 Jun 2007
Posts: 627
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Location: Canada

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PostPosted: Mon Jul 21, 2008 12:15 pm    Post subject: Reply with quote

Finned sword, sashimi sword, UR.
Code:

. . .|. . 4|. . 3
. 1 .|7 . 9|6 . .
. . 8|. . .|. . .
-----+-----+-----
. 8 .|2 . 6|. . 1
. . .|. . .|7 8 .
4 6 .|8 . .|3 . .
-----+-----+-----
. 3 .|. 2 7|. . .
. . .|. 6 .|. . 2
5 . .|1 . .|. 3 .
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wapati

Joined: 12 Jun 2007
Posts: 627
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Location: Canada

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PostPosted: Tue Jul 22, 2008 11:26 am    Post subject: Reply with quote

Sword, finned sword.

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

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PostPosted: Wed Jul 23, 2008 3:44 pm    Post subject: Reply with quote

Finned swordfish. (3)

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

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Location: Canada

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PostPosted: Thu Jul 24, 2008 12:03 pm    Post subject: Reply with quote

UR, BUG, sashimi sword.

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

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PostPosted: Fri Jul 25, 2008 10:03 am    Post subject: Reply with quote

Jelly, finned sword, BUG.
W-wing available, it takes out the BUG.

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

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Posts: 627
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Location: Canada

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PostPosted: Sat Jul 26, 2008 12:04 pm    Post subject: Reply with quote

UR, sashimi sword, BUG.

Code:

. . .|6 5 2|. . .
. . 5|. . .|9 . .
. 2 .|9 . 3|. 6 .
-----+-----+-----
9 . 6|. . .|7 . 4
2 . .|. 4 .|. . 1
8 . 4|. . .|2 . 6
-----+-----+-----
. 6 .|5 . 1|. 4 .
. . 9|. . .|5 . .
. . .|2 9 4|. . .
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wapati

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Posts: 627
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Location: Canada

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PostPosted: Thu Jul 31, 2008 9:11 am    Post subject: Reply with quote

Swords+, hidden UR available.

Code:

. . 2|. . .|. 3 6
. . .|. 4 2|. . .
1 . 8|. . .|. . 2
-----+-----+-----
. . .|. 1 .|3 . 5
. 3 .|7 . 9|. . .
. 2 .|. 8 .|9 . .
-----+-----+-----
. . .|6 . 4|. 1 .
8 . .|. . .|6 9 .
9 . 4|8 . .|. . .
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wapati

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Posts: 627
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PostPosted: Fri Aug 01, 2008 8:32 am    Post subject: Reply with quote

Finned sword, finned jelly.

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