Logic Masters Deutschland e.V.

Follow the Killer^2

(Published on 21. December 2022, 12:16 by antichaos)

Normal Sudoku Rules Apply
Draw a path, starting at the circle, which travels horizontally and vertically and visits every cell in the grid exactly once, finishing at the cell with the square. In cells where the path starts or turns, the digit in the cell indicates how many steps the path travels straight before turning again.
When the path enters a cage, it must visit all cells in the cage before exiting.
The last 3 cages visited by the path all sum to 18. The first and third have the same sum. The total of all caged cells is 105.

This puzzle uses the same pathing rules as my recent Maximum snake, but different from the previous Follow the Killer.

Play online:
SudokuPad
Penpa

Solution code: Row 5 then Row 6

Last changed on on 22. December 2022, 21:16

Solved by simoons
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Comments

on 22. December 2022, 21:16 by antichaos
Updated the rules on the online solver links

on 22. December 2022, 20:58 by antichaos
Tweaked the rules to make the resolution of the cages easier. OK.. possible. Don't set puzzles while sick folks.

on 22. December 2022, 13:18 by antichaos
It does have to visit every cell. The path finding here is a little tricky, but not too bad once you how it must move within cages, which significantly restricts where it can enter and exit the cages.
I posted this while sick, which was probably a mistake. If you do find the path but then can't resolve the cages, take r3c2 as a 7.

on 22. December 2022, 10:49 by ampdes
Does the path have to visit every one of the 81 cells or can it skip some?

There are finitely many variations for paths visiting the cages and I find broken stages in solves in three fresh attempts when I try to visit every cell.

It would be nice if Simon from CTC solves this.

I have already spent 5 hours on this puzzle. If I understood the rules correctly, then this a super tough one.

on 21. December 2022, 23:38 by antichaos
They don't repeat but it is irrelevant to the solve whether they could or not.

on 21. December 2022, 23:13 by Puzzlers100
can numbers repeat within a cage if allowed by the other rules?

on 21. December 2022, 21:46 by antichaos
Clarified German rules

Last changed on 21. December 2022, 17:18

on 21. December 2022, 17:16 by SKORP17
Die Gesamtzahl aller eingesperrten Zellen beträgt 105. --> verwirrend , besser :
Die Gesamtsumme in den Cages beträgt 105

Difficulty:3
Rating:N/A
Solved:1 times
Observed:6 times
ID:000CDM

Puzzle variant Online solving tool Path puzzle

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