a puzzle with 19 clues and it's variants

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a puzzle with 19 clues and it's variants

Postby albert1950 » Fri Jul 11, 2008 8:24 am

A puzzle(original clues 22) I posted a few days ago after excluding the restriction symmetry ,it becomes asymmetric with clues 19,using it as a pattern I created hundreds or even thousands of varients with my program by those techniques like (rotating ,changing rows ,columns,
or boxes and replacing numbers)
all of them quite resemble each other :
they have same kinds of structures,almost same levels of difficulties,even the procedures for solving them are the same ,because they come from
the same model ,they are just like twin brothers and sisters
Here I will show my greatest gratitude to JPF from paris for reminding
now I choose two of them for reference only
original pattern
1 4 3 x x x x x x
x x x 2 7 5 x x x
x x x x x x x x x
x x x x x x 6 x x
x x 9 6 x 8 7 x x
x x x x 4 x x 1 x
x x x x x x x x x
x x x 5 2 6 x x x
x x x x x x 9 3 8
variant -1
9 5 7 x x x x x x
x x x 3 6 8 x x x
x x x x x x x x x
x x x x x x 1 x x
x x 2 1 x 4 6 x x
x x x x 5 x x 9 x
x x x x x x x x x
x x x 8 3 1 x x x
x x x x x x 2 7 4
variant-2
8 7 3 x x x x x x
x x x 9 1 4 x x x
x x x x x x x x x
x x x x x x 6 x x
x x 5 6 x 2 1 x x
x x x x 7 x x 8 x
x x x x x x x x x
x x x 4 9 6 x x x
x x x x x x 5 3 2
albert1950
 
Posts: 5
Joined: 14 June 2008

Re: a puzzle with 19 clues and it's variants

Postby eleven » Fri Jul 11, 2008 9:59 am

albert1950 wrote:the same model ,they are just like twin brothers and sisters
They are isomorphic, i.e. basically the same. E.g. you can get the second puzzle from the first just with renumbering
1-9-2-3-7-6-1
4-5-8-4
eleven
 
Posts: 1564
Joined: 10 February 2008


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