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Postby wapati » Wed Nov 22, 2006 9:45 pm

There is a swordfish but it may be avoided.
Patterns here: xyz, turbot, xy, finned-x, skyscraper.

Code: Select all
. 6 . | 7 . . | . 2 .
8 . . | . . . | . . 1
. . 9 | . 8 . | 4 . .
---------------------
5 . . | . 1 9 | . . .
. . 1 | 5 . 8 | 9 . .
. . . | 3 4 . | . . 8
---------------------
. . 5 | . 3 . | 1 . .
4 . . | . . . | . . 6
. 9 . | . . 7 | . 4 .
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Postby wapati » Wed Nov 22, 2006 9:58 pm

This one has 5 turbots, and that is all you would need.
2 of them are sashimi-x wings, or skyscrapers. Turbot covers
these two patterns.

If you want to you can spot x, xy, finned - x, finned sword and a
sashimi-x instead of the 5 turbots.

Code: Select all
. . 5 | . 4 . | 3 . .
. . . | . . 8 | 9 . .
7 . . | 1 . . | . 8 2
---------------------
. . 1 | 5 . . | . 7 .
5 . . | . . . | . . 6
. 2 . | . . 9 | 4 . .
---------------------
3 5 . | . . 4 | . . 1
. . 4 | 3 . . | . . .
. . 8 | . 7 . | 6 . .
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Postby Carcul » Thu Nov 23, 2006 1:10 am

Wapati wrote:There is a finned swordfish here but it isn't needed.
Turbots and xys, mostly, and an x-wing.


Code: Select all
 *-----------------------------------------------------*
 | 6     1     478 | 48    2     3   | 5     9     478 |
 | 5     3     2   | 4789  4789  789 | 48    6     1   |
 | 49    789   478 | 5     1     6   | 3     478   2   |
 |-----------------+-----------------+-----------------|
 | 49    789   3   | 2     5     789 | 6     1     48  |
 | 1     6     578 | 3     78    4   | 2     58    9   |
 | 2     89    45  | 89    6     1   | 7     45    3   |
 |-----------------+-----------------+-----------------|
 | 3     2     9   | 6     48    5   | 1     478   478 |
 | 8     5     1   | 479   479   2   | 49    3     6   |
 | 7     4     6   | 1     3     89  | 89    2     5   |
 *-----------------------------------------------------*

If r8c7=4 then r3c3=4 and r2c7=8 => r1c4=8 => r5c3=8, but that cannot be (why?). So, r9c7=9 and the puzzle is solved.

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Postby re'born » Thu Nov 23, 2006 1:51 am

wapati wrote:This one has 5 turbots, and that is all you would need.
2 of them are sashimi-x wings, or skyscrapers. Turbot covers
these two patterns.

If you want to you can spot x, xy, finned - x, finned sword and a
sashimi-x instead of the 5 turbots.



Code: Select all
 *-----------------------------------------------------------*
 | 1689  1689  5     | 269   4     26    | 3     16    7     |
 | 126   136   236   | 7     5     8     | 9     16    4     |
 | 7     4     69    | 1     369   36    | 5     8     2     |
 |-------------------+-------------------+-------------------|
 | 4     369   1     | 5     236   236   | 28    7     89    |
 | 5     389   39    | 4     238   7     | 1     29    6     |
 | 68    2     7     | 68    1     9     | 4     3     5     |
 |-------------------+-------------------+-------------------|
 | 3     5     269   | 2689  2689  4     | 7     29    1     |
 | 269   7     4     | 3     269   1     | 28    5     89    |
 | 129   19    8     | 29    7     5     | 6     4     3     |
 *-----------------------------------------------------------*


1. r7c5=9 > r7c8 = 2 > r5c8 = 9 > r4c7 = 2, creating a deadly pattern in r34c56. Thus, r7c5 <> 9.

2. AIC: 6[r3c3] = 9[r3c3] - 9[r3c5] = 9[r8c5] - 6[r8c5] = 6[r8c1]
Hence, r7c3 <> 6 (and r12c1 <> 6).

This solves the puzzle.
Last edited by re'born on Thu Nov 23, 2006 7:51 am, edited 1 time in total.
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Postby Carcul » Thu Nov 23, 2006 10:34 am

Wapati wrote:This one has 5 turbots, and that is all you would need.(... finned sword and a sashimi-x instead of the 5 turbots.


Code: Select all
 *----------------------------------------------------*
 | 1689  1689  5   | 269   4     26  | 3     16    7  |
 | 126   136   236 | 7     5     8   | 9     16    4  |
 | 7     4     69  | 1     369   36  | 5     8     2  |
 |-----------------+-----------------+----------------|
 | 4     369   1   | 5     236   236 | 28    7     89 |
 | 5     389   39  | 4     238   7   | 1     29    6  |
 | 68    2     7   | 68    1     9   | 4     3     5  |
 |-----------------+-----------------+----------------|
 | 3     5     269 | 2689  2689  4   | 7     29    1  |
 | 269   7     4   | 3     269   1   | 28    5     89 |
 | 129   19    8   | 29    7     5   | 6     4     3  |
 *----------------------------------------------------*

[r3c3]-6-[r7c3]=6=[r8c1]-6-[r6c1]=6=[r6c4]-6-[r4c56]-2-[r4c7]=2=
=[r8c7]-2-[r8c5]-9-[r3c56]-6-[r3c3], => r3c3<>6 solving the puzzle.

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Postby wapati » Fri Nov 24, 2006 1:15 am

I think a BUG is required for pattern solving.

Pretty odd that it does come up.:!:

Code: Select all
. . .|6 . .|. 1 .
. . .|. 3 8|9 . 7
. . .|. 1 5|. 3 .
-----+-----+-----
6 . .|. . .|1 5 .
. 2 9|. . .|4 7 .
. 1 5|. . .|. . 9
-----+-----+-----
. 4 .|1 7 .|. . .
5 . 2|8 6 .|. . .
. 3 .|. . 2|. . .
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Location: Brampton, Ontario, Canada

Postby Carcul » Fri Nov 24, 2006 1:33 am

Wapati wrote:There is a swordfish but it may be avoided.
Patterns here: xyz, turbot, xy, finned-x, skyscraper.


Code: Select all
 *----------------------------------------------------------------*
 | 13     6      34    | 7      59     1345  | 8      2      359  |
 | 8      23457  2347  | 2469   2569   23456 | 367    35679  1    |
 | 1237   12357  9     | 126    8      12356 | 4      3567   357  |
 |---------------------+---------------------+--------------------|
 | 5      2348   23468 | 26     1      9     | 2367   367    2347 |
 | 236    234    1     | 5      7      8     | 9      36     234  |
 | 9      27     267   | 3      4      26    | 5      1      8    |
 |---------------------+---------------------+--------------------|
 | 267    278    5     | 24689  3      246   | 1      789    279  |
 | 4      12378  2378  | 1289   259    125   | 237    35789  6    |
 | 1236   9      2368  | 1268   256    7     | 23     4      235  |
 *----------------------------------------------------------------*

1. [r8c6]=5|6=[r3c4](-6-[r4c4]-2-[r4c79]=2=[r5c9]-2-[r9c9])-6-[r2c5]
=6=[r9c5]-6-[r9c13]=6=[r7c1]=7= [r3c1]-7-[r139c9]-9-[r1c5]-5-[r8c5]
=5=[r8c6], => r8c6=5.

2. [r3c6]=6|3=[r5c1]-3-[r1c1]-1-[r9c1]=1=[r9c4]-1-[r8c4](-9-[r8c5]-2-
-[r2c5])=1|4=[r7c4]-4-[r2c4]-9-[(r2c5)]-6-[r3c6], => r2c6/r3c4<>6 solving the puzzle.

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Postby wapati » Sun Nov 26, 2006 9:42 pm

JellyFish, my first one that is not trivial to avoid. There are two,
on the same digit but I doubt you can find both. Lots of finned-swords,
if you care to look.

Code: Select all
. . 2 | 5 . 7 | 6 . .
. 4 . | . . . | . 5 .
. . 5 | 9 . 4 | 2 . .
---------------------
8 . 9 | . . . | 1 . 2
. 5 . | . . . | . 7 .
3 . 4 | . . . | 5 . 6
---------------------
. . 7 | 4 . 9 | 8 . .
. 6 . | . . . | . 2 .
. . 1 | 2 . 6 | 7 . .
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Postby Ocean » Sun Nov 26, 2006 11:01 pm

wapati wrote:JellyFish, my first one that is not trivial to avoid. There are two,
on the same digit but I doubt you can find both. Lots of finned-swords,
if you care to look.

Nice example of a Jellyfish (with Jellyfish also as dual). The Jellyfish is visible at the very beginning, and if applied immediately (or early) the rest is solved by singles.

This puzzle should also qualify as an "Effortless Extreme" - as far as I can read the rules. If you submit it there (and RW accepts it), it will be the first Jellyfish example in that thread.
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Postby Carcul » Sun Nov 26, 2006 11:29 pm

Wapati wrote:JellyFish, my first one that is not trivial to avoid. There are two,
on the same digit but I doubt you can find both. Lots of finned-swords,
if you care to look.


Code: Select all
 *-------------------------------------------------------------------*
 | 19      1389    2  | 5       38      7    | 6       1348    348   |
 | 67      4       38 | 1368    12368   1238 | 39      5       3789  |
 | 67      138     5  | 9       368     4    | 2       138     378   |
 |--------------------+----------------------+-----------------------|
 | 8       7       9  | 36      3456    35   | 1       34      2     |
 | 12      5       6  | 138     123489  1238 | 349     7       3489  |
 | 3       12      4  | 178     12789   128  | 5       89      6     |
 |--------------------+----------------------+-----------------------|
 | 25      23      7  | 4       135     9    | 8       6       135   |
 | 459     6       38 | 1378    13578   1358 | 349     2       13459 |
 | 459     389     1  | 2       358     6    | 7       349     3459  |
 *-------------------------------------------------------------------*

[r8c3]=3=[r2c3]-3-[r2c456]=3=[r13c5]-3-[r79c5]=3=[r8c456]-3-[r8c3],
=> r2c7/r2c9/r4c5/r5c5/r8c7/r8c9<>3 solving the puzzle.

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Postby tarek » Mon Nov 27, 2006 2:43 pm

These puzzles provide "straight down to business" tough puzzles....
#3 & #4 should be tougher, Enjoy......

Code: Select all
Toughie #01
 . . 5 | 7 . . | . 3 . 
 3 . . | . 6 . | . . 4 
 . 1 . | . . 8 | . . . 
-------+-------+------
 . 9 . | . . . | 5 . . 
 . . 6 | . . . | . 1 . 
 4 . . | . . . | . . 8 
-------+-------+------
 8 . . | . 4 . | . . 6 
 . . . | . . 6 | 2 . . 
 . . 7 | 1 . . | . 9 . 

Toughie #02
 9 . . | . . 3 | . . 1 
 . 8 . | . 4 . | . . . 
 . . 2 | 6 . . | 9 . . 
-------+-------+------
 1 . . | . . . | . . 2 
 . 3 . | . . . | . 4 . 
 . . 5 | . . . | 7 . . 
-------+-------+------
 . . 7 | 5 . . | 6 . . 
 . . . | . 8 . | . 3 . 
 4 . . | . . 1 | . . 9 

Toughie #03
 9 . . | . . 5 | . . 8 
 . 4 . | . 3 . | . . . 
 . . 6 | 1 . . | 2 . . 
-------+-------+------
 8 . . | . . . | . . 6 
 . 5 . | . . . | . 3 . 
 . . 2 | . . . | 1 . . 
-------+-------+------
 . . 1 | 2 . . | 7 . . 
 . . . | . 4 . | . 5 . 
 3 . . | . . 8 | . . 9 

Toughie #04
 5 . . | . 6 . | . 2 . 
 . . 7 | 1 . . | . . 8 
 . 9 . | . . 3 | . . . 
-------+-------+------
 . 2 . | . . . | 7 . . 
 . . 8 | . . . | . . 1 
 6 . . | . . . | . 3 . 
-------+-------+------
 3 . . | . 2 . | . 5 . 
 . . . | . . 9 | 6 . . 
 . . 1 | 8 . . | . . 4 


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Postby wapati » Tue Nov 28, 2006 1:42 am

Ocean wrote:
This puzzle should also qualify as an "Effortless Extreme" - as far as I can read the rules. If you submit it there (and RW accepts it), it will be the first Jellyfish example in that thread.


Thanks Ocean, I will submit it.

I agree with "as far as I can read the rules".:)
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Postby re'born » Tue Nov 28, 2006 1:06 pm

wapati wrote:JellyFish, my first one that is not trivial to avoid. There are two,
on the same digit but I doubt you can find both.


After filling in the first couple of singles, write down the Arcilla row matrix for 3:

R_3: [(2589), (345679), (2589)],[(4569),(45679),(1)],[(259), (345679), (2589)]

The naked quad is easy to find and implies that there is a Jellyfish in r1379c2589. To find the dual jellyfish, one can note the hidden quad in the above matrix (look at the 3,4,6,7) or, alternatively, write down the Arcilla column matrix

C_3: [(6), (1379), (28)],[(2458), (12345789), (2458)], [(258), (1349), (1235789)]

Thus the dual jellyfish is in r2458c3467.

Piece of cake!
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Postby Carcul » Tue Nov 28, 2006 3:15 pm

Tarek wrote:These puzzles provide "straight down to business" tough puzzles....


Toughie 1:

Code: Select all
 *----------------------------------------------------------------------*
 | 269     2468    5    | 7       129     1249   | 1689    3       129  |
 | 3       278     289  | 259     6       1259   | 1789    2578    4    |
 | 2679    1       249  | 23459   2359    8      | 679     2567    2579 |
 |----------------------+------------------------+----------------------|
 | 127     9       1238 | 23468   12378   12347  | 5       2467    237  |
 | 257     23578   6    | 234589  235789  234579 | 3479    1       2379 |
 | 4       2357    123  | 23569   123579  123579 | 3679    267     8    |
 |----------------------+------------------------+----------------------|
 | 8       235     1239 | 2359    4       23579  | 137     57      6    |
 | 159     345     1349 | 3589    35789   6      | 2       48      1357 |
 | 256     23456   7    | 1       2358    235    | 48      9       35   |
 *----------------------------------------------------------------------*

1. [r4c6]-4-[r4c8]=4=[r8c8]-4-[r8c3]=4=[r3c3]-4-[r3c4]=4=[r1c6]-4-
-[r4c6], => r4c6<>4.

2. [r4c3]=8=[r4c5]-8-[r9c5]=8=[r9c7]-8-[r1c7]=8=[r1c2]-8-[r5c2]=8=
=[r4c3], => r4c3=8.

3. [r5c4]=8=[r8c4]-8-[r8c8]-4-[r4c8]=4=[r4c4]-4-[r5c4], => r5c4<>4.

4. [r8c2]-4-[r1c2]=4=[r1c6]-4-[r5c6]=4=[r5c7]-4-[r9c7]=4=[r9c2]-4-
-[r8c2], => r8c2<>4 solving the puzzle.

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Postby Carcul » Tue Nov 28, 2006 6:52 pm

Toughie 2:

Code: Select all
 *-----------------------------------------------------------------------*
 | 9       4567    46   | 278     257     3      | 2458    25678   1     |
 | 3567    8       136  | 1279    4       2579   | 235     2567    3567  |
 | 357     1457    2    | 6       157     578    | 9       578     34578 |
 |----------------------+------------------------+-----------------------|
 | 1       4679    4689 | 34789   35679   456789 | 358     5689    2     |
 | 2678    3       689  | 12789   125679  256789 | 158     4       568   |
 | 268     2469    5    | 123489  12369   24689  | 7       1689    368   |
 |----------------------+------------------------+-----------------------|
 | 38      129     7    | 5       239     249    | 6       128     48    |
 | 256     12569   169  | 2479    8       24679  | 1245    3       457   |
 | 4       256     38   | 237     2367    1      | 258     2578    9     |
 *-----------------------------------------------------------------------*

1. [r3c9]=4=[r3c2]=1=[r2c3]=3=[r9c3]=8=[r7c1]-8-[r7c9]-4-[r3c9], => r3c2<>5,7; r2c3<>6; r7c8<>8; r8c9<>4.

2. [r3c9]=3=[r3c1]-3-[r2c3]-1-[r3c2]-4-[r3c9], => r3c9<>4.

3. r4c5=6 or r8c2=6, and so r4c2<>6 solving the puzzle.

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