Logic Masters Deutschland e.V.

Arboretum

(Published on 1. November 2021, 11:22 by scor)

Hi all! Here's a puzzle of a new tree-based genre I have developed. Enjoy!

Rules:

Create non-intersecting non-looping trees such that the trees fill all cells. Trees must sprout from seeds (given triangles) in the direction they point. Tree branches must not pass through black edges. Leaves (tree branch endpoints) from the same tree must not share a row or column. If given, a number on a seed must equal the number of leaves on the final tree.

Additional clarifications:

Trees may branch and travel in any direction. Different trees must not intersect or share cells. Leaves from different trees may share the same row/column. The seed of a tree is not a leaf, despite it being an endpoint.

Example puzzle:

Puzzle link: https://git.io/JPK2m

Solution code: The number of leaf cells per row of the grid.

Last changed on on 1. November 2021, 11:31

Solved by barer, CJK, Aspartagcus, Dina, Mark Sweep, SudokuExplorer, Jesper, Nusi, r45, BenceJoful, Dandelo, qiuyanzhe, polmanpoppins, Raistlen, moss, Phistomefel, Steven R, misko, moeve, Xenonetix, Mjb99, ... starelev5, CHalb, Lara Croft, Realshaggy, Maxst0f, karzym, apiad, Vebby, tychonov, seppel28, h5663454, Toastbrot, Just me, samjna0049, Alfred, Torvelo, lukeyy, neoire, Hydalin, Ppaatt, puzzler05
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Comments

on 20. June 2022, 20:14 by Vebby
Great concept and enjoyable to solve. Thanks scor! :)

on 31. January 2022, 09:38 by CHalb
Fascinating and wonderfully elegant new puzzle type! My respect to scor for this great idea. I'd really like to see more such puzzles from any authors including myself ;-) .

on 17. November 2021, 17:41 by SudokuExplorer
@Luigi: The seed is a "leaf" in the graph theoretical sense. So a clue of N means that there are N+1 leaves in the graph theoretical sense.

Each tree sprouts from the seed, so the adjacent cell pointed by the triangle is part of the tree. In the example the tree has 6 leaves and 1 seed so there are 7 endpoints.

on 3. November 2021, 01:05 by scor
@Phistomefel No, the tree must exit the seed cell before branching :)

on 2. November 2021, 23:20 by Phistomefel
Small rule question: Can a tree already branch in the seed, i.e. can it grow into the direction in which the seed points and in the meantime in a different direction?

on 2. November 2021, 07:39 by BenceJoful
Excellent!

on 1. November 2021, 20:37 by Jesper
Fun original concept and well set.

on 1. November 2021, 18:26 by SudokuExplorer
Great concept with interesting and fun logic, thanks! :-)

on 1. November 2021, 16:44 by Dina
Very nice idea and really fun to solve! :-D

on 1. November 2021, 14:52 by Aspartagcus
I enjoyed this puzzle a lot. :) New puzzle types intrigue me, and I felt like you managed to make use of a lot of different aspects of the ruleset in this puzzle. Well done!

on 1. November 2021, 12:44 by barer
Very nice idea for a puzzle

on 1. November 2021, 11:31 by scor
Oops! Had the wrong puzzle link, now fixed.

Difficulty:2
Rating:98 %
Solved:52 times
Observed:8 times
ID:00084Q

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