Complexity of a puzzle: human solvable

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Complexity of a puzzle: human solvable

Postby urhegyi » Tue Mar 30, 2021 9:32 am

Trying to create puzzles that are attractive for human solving is much harder as random computer generated variants.
I think the design of the jigsaws and the symmetrical placements of clues can make the solving logic easier.
Here a JSWX(windoku and diagonals) that can be a good candidate.
It's partely handcrafted.
I'm interested in which way a solver breaks open the puzzle and if this is still human doable.
Can anyone make an attempt and try checking this?
Image
Code: Select all
#1/WX/B4,JS
...................731.849............9...1............863.925...................
111222233111123333141222333444525566444555666445585666777888969777789999778888999
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Re: Complexity of a puzzle: human solvable

Postby creint » Tue Mar 30, 2021 3:06 pm

Can be solved using singles,locked singles,locked sets,x-wings (2 truths + 2 links).
Don't know if there are easier logic steps.
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Re: Complexity of a puzzle: human solvable

Postby urhegyi » Tue Mar 30, 2021 3:50 pm

creint wrote:Can be solved using singles,locked singles,locked sets,x-wings (2 truths + 2 links).
Don't know if there are easier logic steps.

I didn't check for generalized x-wings. This helps a lot.
Thanks.
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Re: Complexity of a puzzle: human solvable

Postby urhegyi » Thu Apr 01, 2021 9:29 pm

A short and relative easy one with two advanced steps:
Image
Code: Select all
#1/WX/B4,JS
7.......3....8....6.......5............943............1.......8....5....5.......6
122222444112222444711114448771155588777555888775559988766699998666333399666333339
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Re: Complexity of a puzzle: human solvable

Postby Hajime » Fri Apr 02, 2021 8:19 am

urhegyi wrote:A short and relative easy one with two advanced steps:
Code: Select all
#1/WX/B4,JS
7.......3....8....6.......5............943............1.......8....5....5.......6
122222444112222444711114448771155588777555888775559988766699998666333399666333339

Only Naked/Hidden Singles and Pointing/Claiming to this point:
Code: Select all
   +--'---'---'--'--'--'--'--'--+ 
   | 7  6   14 14  9  2  5  8  3| 
   | 9  2   3   7  8  5  4  6  1| 
   | 6 148  18 14  3  9  7  2  5| 
   | 2  9   6   5  7 18 18  3  4| 
   | 8  5   7   9  4  3  6  1  2| 
   |34  34  5   2  6 18 18  7  9| 
   | 1  7   9   6  2  4  3  5  8| 
   |34  18 148 38  5  6  2  9  7| 
   | 5  38  2  38  1  7  9  4  6| 
   +--'---'---'--'--'--'--'--'--+ 
                                   
#1/WX/B4,JS
76..925839237854616...3972529657..34857943612..526..79179624358....562975.2.17946
122222444112222444711114448771155588777555888775559988766699998666333399666333339

Only one SkyScraper, using diagonals, is sufficient before stte: Skyscraper (1)r3c2=r8c2-r4c6=r6c6 => (-1)r3c3
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Re: Complexity of a puzzle: human solvable

Postby urhegyi » Sat Apr 03, 2021 2:19 pm

Another human solvable one:
Image
Code: Select all
#1/WX/B4,JS
...492.............7.....1.....1.................3.....3.....4.............867...
111133344221133344221133444222135544225555588665579888666779988667779988667779999
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