Sudokus with an original rare shape

Everything about Sudoku that doesn't fit in one of the other sections

Postby RW » Wed Nov 08, 2006 3:56 pm

claudiarabia wrote:A very easy puzzle. It has a Unique Loop Type 2. I have no idea how you call this. I didn't find such in the forum until now. But you just have another name for this here, I'm sure. That's why I didn't find it yet.

Around here they're called BUG-lites, as they are a 'lite' version of the BUG pattern. Not all empty cells in the grid included, otherwise they follow the same principle.

claudiarabia wrote:There must be 4 types too like with UR

There's a lot more of UR types than four, as there is also a lot more of BUG and BUG-lite types, just depends on how far you are willing to expand the concept of "pattern".

RW
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Postby RW » Thu Nov 09, 2006 7:16 pm

The Empire has manufactured a new type of super Tie fighters:

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


. . 8 . . . 3 . .
. 3 . . . . . 4 .
4 . 9 . 2 . 7 . 5
. . . 9 . 1 . . .
. . 6 . 7 . 4 . .
. . . 2 . 5 . . .
6 . 3 . 5 . 9 . 2
. 8 . . . . . 1 .
. . 2 . . . 8 . .

The first one can easily defend itself against a X-wing, the second cannot even be defeated by 2 X-wings.:)

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Postby Ocean » Thu Nov 09, 2006 8:38 pm

RW wrote:
Code: Select all
. . 8 . . . 3 . .
. 3 . . . . . 4 .
4 . 9 . 2 . 7 . 5
. . . 9 . 1 . . .
. . 6 . 7 . 4 . .
. . . 2 . 5 . . .
6 . 3 . 5 . 9 . 2
. 8 . . . . . 1 .
. . 2 . . . 8 . .

... the second cannot even be defeated by 2 X-wings.:)

... but it takes only two extra loops to bring it down:
Code: Select all
 *--------------------------------------------------*
 | 157  567  8    |-457  19   47   | 3    2    69   |
 | 2    3   #57   |#57   8    69   | 1    4    69   |
 | 4    16   9    | 13   2    36   | 7    8    5    |
 |----------------+----------------+----------------|
 | 38   457 -457  | 9    6    1    | 2    35   78   |
 | 59   2    6    | 38   7    38   | 4    59   1    |
 | 38   79   1    | 2    4    5    | 6    39   78   |
 |----------------+----------------+----------------|
 | 6    14   3    | 18   5    48   | 9    7    2    |
 | 79   8   #47   | 6    39   2    | 5    1   #34   |
 | 159 -459  2    |#47   139 -479  | 8    6   #34   |
 *--------------------------------------------------*
6-ring: [r2c3]-7-[r8c3]-4-[r8c9]-3-[r9c9]-4-[r9c4]-7-[r2c4]-5-[r2c3] =>r1c4<>7, r4c3<>7, r9c2<>4.
 
 *--------------------------------------------------*
 |-157 #56   8    | 45   19   47   | 3    2    69   |
 | 2    3   #57   | 57   8    69   | 1    4    69   |
 | 4   #16   9    | 13   2    36   | 7    8    5    |
 |----------------+----------------+----------------|
 | 38   457  45   | 9    6    1    | 2    35   78   |
 | 59   2    6    | 38   7    38   | 4    59   1    |
 | 38   79   1    | 2    4    5    | 6    39   78   |
 |----------------+----------------+----------------|
 | 6   #14   3    | 18   5    48   | 9    7    2    |
 | 79   8   #47   | 6    39   2    | 5    1    34   |
 | 159  59   2    | 47   139  79   | 8    6    34   |
 *--------------------------------------------------*
5-ring: [r1c2]-6-[r3c2]-1-[r7c2]-4-[r8c3]-7-[r2c3]-5-[r1c2] => r1c1<>5.
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Postby JPF » Thu Nov 09, 2006 9:10 pm

RW wrote:The Empire has manufactured a new type of super Tie fighters:
The first one can easily defend itself against a X-wing, the second cannot even be defeated by 2 X-wings.:)
RW


Two quick mutations have made them stronger :

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


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


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Postby JPF » Fri Nov 10, 2006 1:20 pm

The new generation :

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


and its twin r5c5=7
same rating SE = 8.5

[edited : new new generation]
Code: Select all
 . . 6 | . . . | 9 . .
 . 1 . | . . . | . 5 .
 4 . 8 | . 7 . | 2 . 1
-------+-------+-------
 . . . | 2 . 5 | . . .
 . . 4 | . 6 . | 8 . .
 . . . | 1 . 7 | . . .
-------+-------+-------
 8 . 1 | . 2 . | 6 . 9
 . 6 . | . . . | . 8 .
 . . 2 | . . . | 5 . .

SE = 8.9

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Postby RW » Fri Nov 10, 2006 2:18 pm

JPF wrote:Two quick mutations have made them stronger :
The second is really nice. I'm not sure if the first can qualify as a Tie fighter... I think a Tie fighter has to confront a X-wing in the basic solving path to justify it's name. I've been looking for normal Tie fighters that are defeated by X-wings, but the pattern seems quite impossible:

Code: Select all
X . . . . . . . X
X . . . . . . . X
X . . . X . . . X
X . . X . X . . X
X X X . . . X X X
X . . X . X . . X
X . . . X . . . X
X . . . . . . . X
X . . . . . . . X

Haven't got anywhere near an unique puzzle yet... Advanced Tie-fighters does exist:
Code: Select all
. X . . . . . X .
X . . . . . . . X
X . . . X . . . X
X . . X . X . . X
X X X . . . X X X
X . . X . X . . X
X . . . X . . . X
X . . . . . . . X
. X . . . . . X .

But I haven't found any with the appropriate solving path yet...

Here's one that's malfunctioning due to a direct hit in the wing that caused a BUG:
Code: Select all
. 8 . . . . . 4 .
1 . . . . . . . 7
6 . . . 9 . . . 5
8 . . 7 . 9 . . 1
9 7 1 . . . 3 5 4
4 . . 3 . 1 . . 8
5 . . . 1 . . . .
3 . . . . . . . 9
. 6 . . . . . 7 .

It must have been a lucky hit, because the advanced Tie fighter is not always that easy to take down. Here's one that suffered a lot more damage, but it can still fly and defend itself against an X-wing plus some of the more developed wings in use by the rebel Alliance, including XY-wing XYZ-wing and the very high tech Sashimi X-wing. Actually it could still sustain 4 more direct hits without crashing:
Code: Select all
. 8 . . . . . 4 .
1 . . . . . . . 3
6 . . . 9 . . . 5
. . . 4 . 9 . . 1
9 . 1 . . . 3 5 4
4 . . 3 . 1 . . .
5 . . . 1 . . . 6
3 . . . . . . . 9
. 4 . . . . . 7 .


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Postby JPF » Fri Nov 10, 2006 7:25 pm

RW wrote:... Advanced Tie-fighters does exist:
Code: Select all
. X . . . . . X .
X . . . . . . . X
X . . . X . . . X
X . . X . X . . X
X X X . . . X X X
X . . X . X . . X
X . . . X . . . X
X . . . . . . . X
. X . . . . . X .

But I haven't found any with the appropriate solving path yet...

Here's one :
Code: Select all

 . 8 . . . . . 6 .
 5 . . . . . . . 7
 7 . . . 9 . . . 1
 3 . . 2 . 7 . . 5
 4 1 2 . . . 3 7 8
 9 . . 8 . 1 . . 4
 1 . . . 7 . . . 2
 8 . . . . . . . 6
 . 4 . . . . . 8 .


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Unique Loop vs. Buglite

Postby claudiarabia » Mon Nov 13, 2006 12:41 am

RW wrote:
claudiarabia wrote:A very easy puzzle. It has a Unique Loop Type 2. I have no idea how you call this. I didn't find such in the forum until now. But you just have another name for this here, I'm sure. That's why I didn't find it yet.

Around here they're called BUG-lites, as they are a 'lite' version of the BUG pattern. Not all empty cells in the grid included, otherwise they follow the same principle.
RW


Thank you for the explanation. Until now I always thought a bug-lite to be this pattern.
Code: Select all
. . 12 | . . 23 | . . 31
. . .  | . . .  | . . .
. . 12 | . . 23 | . . 31+x    Bug-lite


and this to be an unique loop
Code: Select all
12 . . |  . . 12
 . . . |  . . .
12 . . | 12 . .
------------------
 . . . |  . . .
 . . . | 12 . 12+x Unique loop

So do you put these two together in one category?

Claudia
Last edited by claudiarabia on Sun Nov 12, 2006 10:05 pm, edited 1 time in total.
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Three empty boxes SE 8,4

Postby claudiarabia » Mon Nov 13, 2006 1:26 am

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


It's minimal but not untouchable. Interesting are the cells r3c6 and r4c7 for altering. They allow some easier or different versions of this puzzle.

Happy solving!:)

Claudia
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Re: Three empty boxes SE 8,4

Postby m_b_metcalf » Mon Nov 13, 2006 5:16 pm

claudiarabia wrote:It's minimal but not untouchable. Interesting are the cells r3c6 and r4c7 for altering. They allow some easier or different versions of this puzzle.

Happy solving!:)

Claudia


This has the same pattern and drives Sudoku Explainer spare, going over 9 many times with a maximum of 9.4.

Viele Grüße,

Mike Metcalf

Code: Select all
  .  9  .  6  5  .  .  .  .
  3  .  6  7  .  .  .  .  .
  2  .  7  .  .  8  .  .  .
  .  8  .  .  .  .  5  .  .
  .  .  3  .  .  .  .  .  1
  9  .  .  .  .  .  .  6  2
  .  .  .  .  9  .  1  4  .
  .  .  .  .  .  5  .  .  8
  .  .  .  3  .  .  6  7  .
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Postby JPF » Fri Nov 17, 2006 9:16 am

Here's a new variation of gurth's GB16 :

"12 + 456789 lines"
Code: Select all

 5 . . 4 . . 1 . .
 . . 8 . 5 . . . .
 . 3 . . . 6 . . 2
 4 . . . . . 7 . .
 . 5 . . . . . 8 .
 . . 6 . . . . . 9
 1 . . 7 . . . 5 .
 . . . . 8 . 3 . .
 . . 2 . . 9 . . .
 

21 clues, minimal, diagonal-symmetric, SE = 9.0

JPF
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Postby gurth » Fri Nov 17, 2006 9:39 am

Very neat variations on the 456789 lines, JPF!
Interesting that these lines seem to fix all the variations in a narrow SE range of 9.0 to 9.1.
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Postby JPF » Sun Nov 19, 2006 10:39 pm

Mitosis

Code: Select all
 . . 3 4 2 . . . .
 . 2 . . . 5 . . .
 1 . . . . 6 . . .
 8 . . . . . 1 3 .
 5 . . . . . . . 2
 . 9 6 . . . . . 7
 . . . 3 . . . . 6
 . . . 9 . . . 4 .
 . . . . 1 8 5 . .
SE = 8,4

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

SE = 8,3

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Postby tarek » Mon Nov 20, 2006 9:32 am

Impressive JPF.....

I suppose the challenge would be a puzzle that comes from a GRID that displays diagonal symmetry.........

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Postby m_b_metcalf » Mon Nov 20, 2006 5:06 pm

udosuk wrote:Ocean, any luck of your programs to generate this pattern?:?:

Code: Select all
 x x x | x x x | x x x
 x x x | . . . | x x x
 x x x | . . . | x x x
-------+-------+-------
 x . . | . . . | . . x
 x . . | . x . | . . x
 x . . | . . . | . . x
-------+-------+-------
 x x x | . . . | x x x
 x x x | . . . | x x x
 x x x | x x x | x x x


There seems to be a real problem with this pattern. For what it's worth, the nearest I could get (note order of values around perimeter) was the one below. (This is one of two as yet unsolved patterns on this thread.)

Regards,

Mike Metcalf

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


EDIT: In fact, two central cells are also easy:
Code: Select all
  7  4  9  5  2  8  1  3  6
  3  5  2  .  .  .  7  9  8
  8  1  6  .  .  .  5  4  2
  9  .  .  .  8  .  .  .  5
  2  .  .  .  .  .  .  .  4
  5  .  .  .  7  .  .  .  1
  4  2  7  .  .  .  6  5  3
  6  8  5  .  .  .  4  1  9
  1  9  3  6  5  4  8  2  7
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