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Postby wapati » Sat Dec 09, 2006 6:56 am

Swordfish, and lots more:!: ( I like swordfish!! )

Code: Select all
6 8 . | . . . | . 3 .
3 . 2 | . 7 . | . . 6
. 9 5 | . . 3 | 8 . .
---------------------
. . . | . 9 . | 5 . .
. 7 . | 2 3 5 | . 9 .
. . 6 | . 4 . | . . .
---------------------
. . 8 | 9 . . | 3 6 .
5 . . | . 8 . | 4 . 9
. 6 . | . . . | . 8 1
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Postby wapati » Mon Dec 11, 2006 12:29 am

A few patterns, many times.:)
Code: Select all
. . . | 4 . . | . . 1
. . 7 | . 5 . | 9 . .
. 4 . | . . 7 | . 3 .
---------------------
2 . . | . 4 3 | 5 . .
. 1 . | 2 . 5 | . 9 .
. . 5 | 1 9 . | . . 2
---------------------
. 9 . | 7 . . | . 4 .
. . 2 | . 1 . | 3 . .
8 . . | . . 9 | . . .
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Postby wapati » Mon Dec 11, 2006 12:37 am

Not too tricky, several paths. 5 Turbots is one.

Code: Select all
7 8 . | . 9 . | 6 . .
4 . . | 3 6 . | . . .
. . 6 | . . 8 | . . 1
---------------------
. 4 . | . . . | 7 . .
1 5 . | . . . | . 2 3
. . 2 | . . . | . 1 .
---------------------
8 . . | 9 . . | 1 . .
. . . | . 3 1 | . . 7
. . 7 | . 8 . | . 4 9
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Postby wapati » Mon Dec 11, 2006 12:46 am

<Chuckle>

This is annoying for my pattern solving. Hard:!:

Code: Select all
7 . 9 | . . 3 | . 6 .
. 3 . | 9 . . | 1 . 7
1 . . | . . . | 3 5 .
---------------------
. 5 . | . 9 . | . . 8
. . . | 3 . 2 | . . .
9 . . | . 8 . | . 7 .
---------------------
. 9 5 | . . . | . . 2
3 . 2 | . . 8 | . 9 .
. 8 . | 2 . . | 5 . 3
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Postby wapati » Mon Dec 11, 2006 1:15 am

This one is, well ...

Swordfish ( I like them) and tons more. UR expected.

Code: Select all
. . . | . 7 . | . . .
. 3 . | 5 . 9 | . 2 .
7 . 5 | . . . | 4 . 1
---------------------
. 1 . | 8 . 6 | . 9 .
. . 9 | . . . | 3 . .
. 6 . | 3 . 5 | . 4 .
---------------------
6 . 8 | . . . | 9 . 5
. 5 . | 9 . 2 | . 7 .
. . . | . 5 . | . . .
wapati
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Postby Carcul » Wed Dec 13, 2006 11:02 am

Wapati wrote:Swordfish, and lots more ( I like swordfish!! )


Code: Select all
 *------------------------------------------------------*
 | 6     8     147 | 5     12    129  | 179   3     47  |
 | 3     14    2   | 148   7     189  | 19    5     6   |
 | 147   9     5   | 14    6     3    | 8     147   2   |
 |-----------------+------------------+-----------------|
 | 248   234   34  | 167   9     167  | 5     147   478 |
 | 148   7     14  | 2     3     5    | 6     9     48  |
 | 9     5     6   | 178   4     178  | 127   127   3   |
 |-----------------+------------------+-----------------|
 | 1247  124   8   | 9     12    1247 | 3     6     5   |
 | 5     123   137 | 167   8     1267 | 4     27    9   |
 | 247   6     9   | 3     5     247  | 27    8     1   |
 *------------------------------------------------------*

[r3c8]=7=[r3c1]-7-[r79c1]=7|1=[r7c12]-1-[r7c5]=1=[r1c5](-1-[r3c4]-
-4-[r3c8])=2=[r1c6]=9=[r1c7]-9-[r2c7]-1-[r3c8], => r3c8<>1,7 solving the puzzle.

Carcul
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Postby Carcul » Wed Dec 13, 2006 11:59 am

Wapati wrote:A few patterns, many times.


Code: Select all
 *-----------------------------------------------------------*
 | 9      23568  368 | 4      2368   268 | 2678   25678  1   |
 | 36     2368   7   | 368    5      1   | 9      268    4   |
 | 15     4      168 | 9      268    7   | 268    3      568 |
 |-------------------+-------------------+-------------------|
 | 2      678    9   | 68     4      3   | 5      1      678 |
 | 46     1      68  | 2      7      5   | 468    9      3   |
 | 3467   3678   5   | 1      9      68  | 4678   678    2   |
 |-------------------+-------------------+-------------------|
 | 15     9      136 | 7      2368   268 | 268    4      568 |
 | 67     567    2   | 568    1      4   | 3      5678   9   |
 | 8      3567   4   | 356    236    9   | 1      2567   67  |
 *-----------------------------------------------------------*

[r4c9]=8=[r2c8](-8-[r3c7])-8-[r8c8]=8=[r8c4](-8-[r7c56])-8-[r4c4]=8=
=[r6c6]-8-[r6c78]-{Nice Loop: [r5c7]-8-[r7c7]([r7c67]-2,6-[r7c5]-3-
-[r9c45]=3=[r9c2]-3-[r7c3]=3=[r1c3])=8=[r3c5]-8-[r3c3]=8=[r5c3]-8-
-[r5c7]}-8-[r5c7]=8=[r4c9], => r4c9=8 and the puzzle is solved.

Carcul
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Postby Carcul » Wed Dec 13, 2006 3:08 pm

Wapati wrote:<Chuckle> This is annoying for my pattern solving. Hard


Code: Select all
 *-----------------------------------------------------*
 | 7     2     9    | 15    15    3   | 8     6     4  |
 | 5     3     8    | 9     46    46  | 1     2     7  |
 | 1     46    46   | 8     2     7   | 3     5     9  |
 |------------------+-----------------+----------------|
 | 2     5     1467 | 1467  9     146 | 46    3     8  |
 | 8     1467  1467 | 3     1467  2   | 9     14    5  |
 | 9     146   3    | 146   8     5   | 2     7     16 |
 |------------------+-----------------+----------------|
 | 46    9     5    | 1467  3     146 | 467   8     2  |
 | 3     17    2    | 4567  4567  8   | 467   9     16 |
 | 46    8     17   | 2     467   9   | 5     14    3  |
 *-----------------------------------------------------*

-4-[r8c7]([r8c279]-6,7-[r8c4])=4|6=[r4c3](-6-[r4c7]=6=[r6c9]-6-[r6c4])=1=[X-Wing:r47c46]-1-[r16c4]-4,5-[r8c4], => r8c7=4 solving the puzzle.

Carcul
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Postby Carcul » Wed Dec 13, 2006 5:45 pm

Wapati wrote:This one is, well ... Swordfish ( I like them) and tons more. UR expected.


Code: Select all
 *-------------------------------------------------------*
 | 1248  48    1246 | 146   7     1348 | 568   3568  9   |
 | 148   3     146  | 5     1468  9    | 678   2     678 |
 | 7     9     5    | 26    2368  38   | 4     368   1   |
 |------------------+------------------+-----------------|
 | 2345  1     2347 | 8     24    6    | 57    9     27  |
 | 2458  48    9    | 1247  124   147  | 3     568   268 |
 | 28    6     27   | 3     9     5    | 1     4     278 |
 |------------------+------------------+-----------------|
 | 6     2     8    | 47    34    347  | 9     1     5   |
 | 134   5     134  | 9     68    2    | 68    7     34  |
 | 9     7     34   | 16    5     18   | 2     68    34  |
 *-------------------------------------------------------*

r5c5=2 or r1c6=1. But [r1c6]=3=[r1c8]=5=[r5c8](-5-[r5c1])=6=[r5c9]=
=8=[r6c9]-8-[r6c1]-2-[r15c1]=2|1=[r1c1]-1-[r1c6], => r1c6<>1 => r5c5=2 and the puzzle is solved.

For all those who like riddles, I will leave this solution for them: try to interpret the solution I posted. As usual, try to do that without the computer, and without additional peaces of paper. Just use the head.

Carcul
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Postby ArkieTech » Thu Dec 14, 2006 4:15 am

Carcul said:
r5c5=2 or r1c6=1. But [r1c6]=3=[r1c8]=5=[r5c8](-5-[r5c1])=6=[r5c9]=
=8=[r6c9]-8-[r6c1]-2-[r15c1]=2|1=[r1c1]-1-[r1c6], => r1c6<>1 => r5c5=2 and the puzzle is solved.

For all those who like riddles, I will leave this solution for them: try to interpret the solution I posted. As usual, try to do that without the computer, and without additional peaces of paper. Just use the head.


I am just learning and am a great admirer. I am still working on understanding your solution but in working it out to complete the puzzle, I get to the following position:

Code: Select all
 *-----------*
 |.8.|.7.|..9|
 |436|519|.2.|
 |795|2..|4.1|
 |---+---+---|
 |.1.|846|.9.|
 |.49|.2.|3.6|
 |.6.|395|14.|
 |---+---+---|
 |628|.3.|915|
 |.5.|9.2|.7.|
 |97.|.5.|2..|
 *-----------*

 
 *--------------------------------------------------*
 | 12   8    12   | 46   7    34   | 56   356  9    |
 | 4    3    6    | 5    1    9    | 78   2    78   |
 | 7    9    5    | 2    68   38   | 4    36   1    |
 |----------------+----------------+----------------|
 | 235  1    237  | 8    4    6    | 57   9    27   |
 | 58   4    9    | 17   2    17   | 3    58   6    |
 | 28   6    27   | 3    9    5    | 1    4    278  |
 |----------------+----------------+----------------|
 | 6    2    8    | 47   3    47   | 9    1    5    |
 | 13   5    134  | 9    68   2    | 68   7    34   |
 | 9    7    34   | 16   5    18   | 2    68   34   |
 *--------------------------------------------------*


I see the x-wing but even that leads to a brick wall for me.

Help!:(

dan
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Postby wapati » Thu Dec 14, 2006 8:02 am

Toughie as a pattern. Quite hard.

URs, x, xy and finned x. (Yep, there are others, not required.)

Code: Select all
. 6 .|. 3 .|. . .
2 . .|. 5 1|. . .
9 . .|. . 8|7 . .
-----+-----+-----
. . .|. . .|4 7 .
8 . 6|. . .|. 5 9
4 5 .|. . .|. . .
-----+-----+-----
. 2 .|. 1 .|. . .
. . 7|8 . .|. . 2
6 . .|4 7 .|9 1 .
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Postby wapati » Thu Dec 14, 2006 8:17 am

This one is quite funny.

If you ask SE or Sudoku Cue this one is complicated.
It pretty much depends on the order that you look at
advanced techniques. Skyscraper, a Turbot form and
a Sashimi X. All the same method, odd names, and
the solvers treat them in different orders.

So, easy way or find the many methods that slowly work?

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


One skyscraper solves it.
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Postby Carcul » Thu Dec 14, 2006 10:39 am

ArkieTech wrote:I see the x-wing but even that leads to a brick wall for me.


That is part of the riddle. However, I can say that there are two simple steps in front of your eyes which, in the right order, solve the puzzle. Study the puzzle carefully. Good luck.

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Postby Carcul » Thu Dec 14, 2006 10:54 am

Wapati wrote:Toughie as a pattern. Quite hard. URs, x, xy and finned x. (Yep, there are others, not required.)


Code: Select all
 *------------------------------------------------------*
 | 7     6     148 | 29    3     49  | 5     28    148  |
 | 2     348   348 | 7     5     1   | 368   9     3468 |
 | 9     134   5   | 26    246   8   | 7     23    134  |
 |-----------------+-----------------+------------------|
 | 3     19    129 | 5     2689  69  | 4     7     68   |
 | 8     7     6   | 123   24    34  | 12    5     9    |
 | 4     5     29  | 1269  2689  7   | 12    368   368  |
 |-----------------+-----------------+------------------|
 | 5     2     49  | 369   1     369 | 68    468   7    |
 | 1     49    7   | 8     69    5   | 36    346   2    |
 | 6     38    38  | 4     7     2   | 9     1     5    |
 *------------------------------------------------------*

[r1c6]-4-[r5c6]-3-[r5c4]=3|6,9=[r4c6|r6c4]-9-[r46c5]=9=[r8c5]-9-[r8c2]
=9=[r4c2]-9-[r6c3]=9=[r6c4]-9-[r1c4]=9=[r1c6], => r1c6<>4 solving the puzzle.

Carcul
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Postby ravel » Thu Dec 14, 2006 11:05 am

Carcul wrote:That is part of the riddle. However, I can say that there are two simple steps in front of your eyes which, in the right order, solve the puzzle.
Sorry Carcul, but ArkieTech wrote "I am just learning ", so we dont know, if he is familiar with unique rectangles and BUG (or whatever steps you mean).
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