Japanese Icewalk (1)
(Published on 17. August 2025, 20:44 by KNT)
Place the numbers from 1 to 6 in some cells such that no number repeats in a row or column. Clues outside the grid indicate the sums of connected groups of numbers in the respective row or column, in order, where empty cells serve as delimeters between groups. A question mark indicates any digit from 0 to 9, but no clue may have a leading zero.
Draw a loop that travels orthogonally from cell center to cell center in some cells of the grid. The loop may cross itself, but only on cells without a number. On these empty cells, the loop must also not turn.
A blue cell must not be empty, and must be visited by the loop. The number placed in a blue cell indicates how many cells make up the continuous non-empty section of the loop that the number is on. On any such section (that may or may not have a blue cell), numbers must not repeat.
SudokuPad
penpa+
Solution code: Column 5, Column 7. For empty cells, I if the loop passes straight through, X for intersection, and O for no loop segment.
Solved by RJBlarmo, nuzzopa, tuturitu, Mr_tn, Niverio, h5663454, Jesper, zhangjinyang, ibag, zuzanina, Nick Smirnov, jkuo7, harryb, marcmees, Agent, jmw, ffricke
Comments
on 18. August 2025, 18:52 by ibag
Great!
on 18. August 2025, 14:52 by Niverio
Fun introduction puzzle, kinda scared of what may come next as the difficulty of this ruleset may scale exponentially with the number of digits available... (: But I'm sure it will be brilliant
on 17. August 2025, 20:46 by KNT
It may be of help to familiarize yourself with the rules of icewalk: https://pzprxs.vercel.app/rules.html?icewalk