Loop Knight Region
(Published on 21. July 2023, 23:37 by Prof.Dori)
Loop Knight Region
Rules:
Normal sudoku rules apply. Digits separated by knight's move can't be the same. Draw a single closed loop that moves cell to cell orthogonally and passes through on exactly 8 of the boxes (which box it doesn't pass must be determined by the solver and we call this box 'bad'). The loop may not touch itself orthogonally. Each cell on the 'bad' box and each corner cell of the grid (means r1c1, r1c9, r9c1 and r9c9 which can be part of the loop) doesn't see any cell which is part of the loop by knight's move. Each cell on the grid doesn't see more than 4 cells which are part of the loop by knight's move. Furthermore, this loop acts as a region sum line, the sum of the digits along the loop must be the same within each 3x3 box the loop passes through each time.
Solution code: Row 5 followed by row 8.
Comments
on 17. August 2023, 12:38 by 3good5you
Very cool break in!
on 23. July 2023, 21:02 by Playmaker6174
Very interesting main idea and a satisfying solve after that! It's one of those puzzles where one would notice the idea in either like 15 mins or over 1 hour but once getting it, the solve is more entertaining from there :)
on 23. July 2023, 13:14 by anyeyeball
Very nice puzzle. Anti-knight combined with a loop. What more could anyone ask for?!?
Thanks for sharing this.
