Logic Masters Deutschland e.V.

RC Grand Tour

(Published on 6. November 2022, 11:51 by antichaos)

Normal Sudoku rules apply.
Draw a path, starting in row 1 column 1, travelling horizontally and vertically, and finishing somewhere in column 9, which visits every non-black cell exactly once. Black cells are not visited at all. In cells where the path starts or turns, the digit in that cell gives the row it moves to, if travelling vertically, or the column if travelling horizontally.
Grey cells are not corners. Those cells give the length of the straight section of the line that passes through them. Green cells are also not corners. The green cells form pairs that sit on the same straight section. The sum of the digits in that pair give the length of the section.

For example, if the digit in r1c1 was a 3, the path could then move to r3c1 or r1c3. From r3c1 a 5 would take it to r3c5.

Note that the path rules here are different to my previous Grand Tour puzzles. Bonus points if you can see why a path with this ruleset can never visit every cell in the grid.

Play online: CTC

Solution code: Row 7 then Row 9

Last changed on on 6. November 2022, 17:37

Solved by cdwg2000, TheIronGeik, vitaminz, dodomos
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Comments

on 8. November 2022, 21:58 by vitaminz
Thank you! I swear I tried that exact path before but somehow ended up at a contradiction. Cheers!

Last changed on 8. November 2022, 19:56

on 8. November 2022, 19:56 by antichaos
vitaminz, the digits you have are all correct. Look at the options for the green pair in column 1, then at r5c6.

on 8. November 2022, 04:29 by TheIronGeik
Awesome puzzle! thanks for the clarification

on 7. November 2022, 17:38 by cdwg2000
Very nice!

on 7. November 2022, 08:28 by antichaos
R1c1 to r3c1 is length 3. R3c1 to r3c5 is length 5. Remember the corner cell contains the row/column the path travels to, not necessarily the length. R3c5 to r3c7 would be length 3 but would need a 7 in r3c5

on 7. November 2022, 00:49 by TheIronGeik
There's some ambiguity in the rules.
Following your example: if the path has a corner at r3c1, then a straight section to r3c5 where there is another corner. Does that straight section have a length of 3 or 5?

on 6. November 2022, 17:37 by antichaos
Fixed solution description

on 6. November 2022, 15:48 by cdwg2000
Please check solution code.

Difficulty:3
Rating:N/A
Solved:4 times
Observed:9 times
ID:000BX5

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