## Complexity of a puzzle: human solvable

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Complexity of a puzzle: human solvable

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?

Code: Select all
#1/WX/B4,JS
...................731.849............9...1............863.925...................
111222233111123333141222333444525566444555666445585666777888969777789999778888999
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Complexity of a puzzle: human solvable

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

Posts: 326
Joined: 20 January 2018

### Re: Complexity of a puzzle: human solvable

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.
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Complexity of a puzzle: human solvable

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
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Complexity of a puzzle: human solvable

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

Hajime

Posts: 733
Joined: 20 April 2018
Location: Netherlands

### Re: Complexity of a puzzle: human solvable

Another human solvable one:

Code: Select all
#1/WX/B4,JS
...492.............7.....1.....1.................3.....3.....4.............867...
111133344221133344221133444222135544225555588665579888666779988667779988667779999
urhegyi

Posts: 539
Joined: 13 April 2020