Tri-Colour Coaster #1
(Published on 11. June 2025, 04:55 by ClashCode)
Inspired by an idea by The Book Wyrm.
Tri-Colour CoasterRules
Place the digits from 1 to 9 and a blank cell exactly once in every row and column.
Draw three loops that travel orthogonally between the centres of some cells in the grid. The loops may NOT cross themselves and MAY cross each other, but wherever they cross, both ends must travel straight; a cross is never two right angles touching; in any other case the loops may not overlap. The loops may NOT travel through blank cells.
One of the loops is a Negator loop, a digit X on the loop is modified to have the value -X.
Clues to the left of rows indicate the sum of values on horizontal segments of the loops in that row, in the correct order. Clues above columns indicate the sum of values on vertical segments of the loops in that column, in the correct order. Same colours refer to the same loop.
In each row and column either all clues or no clues have been given.The negative digits also affect the other regular loop sums.
Link
Solution code: Row 8 followed by Column 4 ignoring the blank cell. 18 Digits no spaces
Comments
on 18. June 2025, 10:29 by Piatato
Nice and fun, although perhaps a bit straightforward, especially compared to #2
on 14. June 2025, 19:33 by ClashCode
Fixed solution check for both Penpa and Sudokupad links.
on 14. June 2025, 13:29 by wisty
Colorful idea! Very mathy. I broke it a few times and had to rewind pretty far back, not sure why
on 12. June 2025, 07:35 by h5663454
*I think this puzzle should be tagged with "roller coaster"
-Thank you for the suggestion.
