Coloring 18 Sandwiches
(Published on 25. June 2024, 12:35 by RockyRoer)
This puzzle is a variant and extension of a puzzle type I've discovered recently called "Circle 9".
The Rules:
- [Circle 18] Use blue to shade exactly 18 of the cells containing numbers such that there are two shaded cells in every row, column, and 3x3 box, and each digit from 1-9 is shaded exactly twice. Shade the remaining cells gray.
- [Sudoku] Then normal sudoku rules apply - so every row, column and 3x3 box will need the digits placed from 1-9. Cells shaded blue are given digits. The digits in cells shaded gray cannot be correct digits in the final sudoku.
- [Sandwich] Clues outside the grid, which must be deduced, are the sum of the digits between the blue shaded cells. These totals are all different prime numbers. (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37)
The Puzzle:
Try it on Sudokupad
Solution code: Row 9
Solved by sanabas, tuturitu, Felis_Timon, efnenu, marcmees, SKORP17, cathematician, jwsinclair, Mr_tn, bansalsaab, Starlight, palpot, Steven R, Nylimb, jkl, anonymoose, zrbakhtiar, Puzzle Weasel, 1121, jnmh, mozingo, Mgbator, Epsiloneuclid, johnreid, Wahaj, mkubica, lmdemasi, NeilGirdhar, BEHamren, TonySnark, RiGri, nunc, HighEagle, miranda_9, konjecture, ManuH
Comments
on 5. July 2024, 15:48 by NeilGirdhar
One nice design feature of this ruleset is that you can use the check button to check that your highlights are correct.
on 2. July 2024, 16:40 by johnreid
Nice puzzle! I was able to find a solution without using a few of the '?' clues though, which surprised me. Maybe I found an unintended path... or maybe I had some faulty logic and just got lucky! :D
on 25. June 2024, 21:30 by bansalsaab
Fantastic as usual.
on 25. June 2024, 16:04 by marcmees
NIce. thanks
on 25. June 2024, 12:58 by sanabas
Both phases are good fun, and quite different thinking required for each.