Closed Loop Sudoku
(Published on 19. May 2020, 07:04 by DanjerBob)
Closed Loop Sudoku - by Andrej Boban
Normal Sudoku rules apply. Start at the grey 1. Write the digits in the sequence of powers of 2 from 0 to 9 (1248163264128256512) so that they travel to each box in the grid and connect back to the start to create a closed loop. The way they travel is important and which digits they may touch is important.
Travel: the the next digit moves one space orthogonally or diagonally, but cannot touch a different part of the loop or make a turn that is too tight - i.e. it cannot move 90 degrees orthogonally. In this way, each digit touches exactly 2 other digits in the sequence: the previous digit and the next digit.
Touch: digits in the sequence have a King's move restriction for their own digit and the NEXT digit in the sequence (example: the 3 from 32 may not touch a 3. The only 2 it can touch is the one from the sequence and no others).
Solution code: First 2 rows of the grid
Comments
on 20. May 2020, 13:42 by cdwg2000
Very nice!
on 20. May 2020, 04:03 by DanjerBob
Rewrote the rules completely to be more clear - sorry for confusion
on 19. May 2020, 22:49 by DanjerBob
I'm happy to see some people have solved it :) any feedback? I've only made 3 other puzzles previously and I'm looking to improve. I know the rules are confusing I'm sorry
on 19. May 2020, 20:21 by DanjerBob
Edit: included image to help clarify rules https://i.imgur.com/riqORgQ.jpg
on 19. May 2020, 17:52 by DanjerBob
Edit: changed difficulty to very hard because of comments from friends (although I do not think it is too difficult if you see it as a logic puzzle instead of a sudoku until you've fully written in the loop)
on 19. May 2020, 11:19 by Rawcoder
Does the right angle turn restriction only count for orthogonally connected loop segments or for diagonally connected loop segments as well?
- No, only for orthogonally connected - this is to avoid turns that are "too tight" -Danjerbob
on 19. May 2020, 07:15 by DanjerBob
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