Pencil puzzle sudoku hybrid series #1 - Look-air sudoku
(Published on 28. October 2020, 11:11 by Aspartagcus)
I've been told the break-in might be a bit tricky, if you want to try out a simpler 6x6 version, you can do so here.
There's a hint below as well.
RULES:
- Standard sudoku rules apply, except using the digits 0-8.
- Standard look-air rules apply:
+ Two squares of the same size may not have a direct view of one another, i.e. have a straight line of unshaded cells in between them.
+ Digits in the grid (exceptions below) represent the number of shaded cells that share at least one edge with the cell (including the cell itself).
- Little killer clue rules: The numbers outside the grid are the sums of the cells in the diagonals indicated by the arrows. Digits may be repeated in these diagonals.
- The cell with a gray circle contains an odd value. It is not excluded from being a look-air clue, as the digits in other circles are.
Here's a 4x4 grid example using the digits 0-3:
And this is the puzzle:
Hint (highlight to see):
Consider the boxes with the fewest circles and the constellations of shaded squares which allow insertion of the needed amount of look-air clues in those boxes.
Enjoy!
Link to solve it online:
Penpa+
Solution code: Rows 2 and 7 in succession, without any spaces or commas.
Comments
on 11. September 2021, 16:43 by MagnusJosefsson
Wonderful puzzle! The break in was very rewarding (though I appreciate that you added the odd circle :) ). Definitely deserves more solves!
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Thanks! I do understand that the rules are a bit daunting, though. One solve closer to being rated! :D
on 18. August 2021, 22:17 by Aspartagcus
Added tags
on 11. August 2021, 02:06 by Vebby
Superb! Quite challenging to start, especially being unfamiliar with look-air, but I loved finding the logical moves.
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Yes, the break-in is the trickiest part (and actually understanding the rules). Glad you enjoyed it, it was a lot of fun to set! :)
on 15. December 2020, 10:36 by cdwg2000
@Aspartagcus
Thanks，I will get to know about Look Air later.
on 15. December 2020, 10:18 by Aspartagcus
@cdwg2000: Thanks a lot. :)
Tasquare and look-air are similar, but differ in a few ways, though (not least that squares of same sizes can "see" each other in tasquare). Could be interesting to make a tasquare sudoku hybrid, though.
http://www.cross-plus-a.com/puzzles.htm#Tasukuea
on 15. December 2020, 10:14 by cdwg2000
This is a modified Sudoku combined with Tasquare puzzle, very good!
on 23. November 2020, 14:46 by Aspartagcus
Noticed that the Penpa+ link was to an earlier version of the puzzle, without the odd circle (that one is still solvable, but the break-in is harder). It has now been fixed.
