Equal Sums with a Twist
(Published on 17. March 2022, 03:14 by Arlo Lipof)
Rules:
- Normal Sudoku rules apply.
- Lines. Let S be a sum value to be discovered by the solver. In each box it passes through, a line either has a sum equal to S, or a sum equal to a multiple of S (2*S, 3*S etc.). For instance if S=7, a line could pass through cells 2 and 5 (2+5=7=S) in one box, and through cells 6, 3, 1 and 4 in another box (6+3+1+4=14=2*S). The sum value S is the same for the four lines.
- Little Killer clues. Clues outside the grid give the sum of the digits along the indicated diagonal.
I am pretty pleased with the logical path you have to follow in order to solve this puzzle! I hope you'll enjoy it too! Ratings and comments are welcome of course.
Solution code: Row 2 then Row 8 (18-digit number without spaces)
Last changed on -
Solved by bigger, Askloomok, davidjshort, Bankey, zorant, jalebc, PippoForte, SKORP17, marcmees, peterkp, djorr, cdwg2000, Saskia, DiMono, SSG, zrbakhtiar, Crul
Comments
Last changed on 11. June 2022, 08:08
on 10. June 2022, 20:54 by djorr
Very neat! And the LK variant is a perfect match with this constraint. Well done!
A: Thank you very much!
Last changed on 17. March 2022, 17:13
on 17. March 2022, 07:19 by Bankey
Good fun. Thanks, @ Arlo Lipof :)
A: Glad you liked it!
Last changed on 17. March 2022, 06:57
on 17. March 2022, 03:48 by bigger
can S be 1
so S has to appear somewhere in the sum.
A: Good point, thank you. S is a proper *sum* value (of at least two digits). It appears at least once as a box sum on each line.
