experiment

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

experiment

Postby ab » Mon Mar 06, 2006 8:31 pm

I ran my generator with just naked singles turned on (no other techniques) and it churned out this surprisingly reasonable puzzle. I should add that I chose the initial pattern.

Code: Select all
 *-----------*
 |14.|.2.|.98|
 |6..|7.4|..3|
 |..5|...|2..|
 |---+---+---|
 |.9.|...|.5.|
 |3..|.6.|..7|
 |.2.|...|.6.|
 |---+---+---|
 |..9|...|7..|
 |8..|3.2|..6|
 |27.|.4.|.85|
 *-----------*
ab
 
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Postby tarek » Mon Mar 06, 2006 9:07 pm

It is a valid puzzle, with a beautiful All-axis symmetry following a diamond shape.

The puzzle itself is very easy which needs only naked singles to solve it.

tarek
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Postby JPF » Fri Mar 10, 2006 12:09 am

About symmetry :

Code: Select all

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



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Postby Moschopulus » Fri Mar 10, 2006 1:02 am

Nice. Can you have a puzzle without the clues in the middle box?


Code: Select all

. . . x x x . . .
. . x . . . x . .
. x . . . . . x .
x . . . . . . . x
x . . . . . . . x
x . . . . . . . x
. x . . . . . x .
. . x . . . x . .
. . . x x x . . .

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Postby tso » Fri Mar 10, 2006 1:30 am

I'd guess not. I think you need a few more clues.

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


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


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


+-------+-------+-------+
| . . . | 3 5 8 | . . . |
| . . 4 | . . 2 | 5 . . |
| . 7 . | . . . | . 6 . |
+-------+-------+-------+
| 2 4 . | . . . | . . 1 |
| 6 . . | . . . | . . 8 |
| 8 . . | . . . | . 4 5 |
+-------+-------+-------+
| . 1 . | . . . | . 8 . |
| . . 2 | 4 . . | 3 . . |
| . . . | 6 2 1 | . . . |
+-------+-------+-------+
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Postby ab » Fri Mar 10, 2006 8:01 pm

Code: Select all

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



Symmetry's no problem
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Joined: 06 September 2005

Postby JPF » Sat Mar 11, 2006 12:01 am

Moschopulus wrote:Nice. Can you have a puzzle without the clues in the middle box?


Code: Select all

. . . x x x . . .
. . x . . . x . .
. x . . . . . x .
x . . . . . . . x
x . . . . . . . x
x . . . . . . . x
. x . . . . . x .
. . x . . . x . .
. . . x x x . . .


Open question...
:?:Anybody to find one or to prove that it is not possible ?

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

Nice too !
It's a cascading single. See here
Length=61 ; (max=64)

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Postby JPF » Mon Mar 13, 2006 12:47 am

Some progress...

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

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

JPF
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