Arbour

ONE TREE

Tap between two cells to cycle link → ✕ → clear.

ONE TREE

Arbour

A distance clue can't always tell two equally near neighbours apart, so the puzzle isn't really asking for one particular tree — it's asking for the pattern of distances that tree produces. Any tree that reproduces those distances is a solution; where a real choice remains, every choice is valid.

One fact worth knowing: a cell's distance from the root always shares its chessboard colour's parity, and is never less than the direct number of steps to the root.

RULES

  • The filled cell is the root, at distance 0.
  • Each numbered cell's distance from the root, along your links, must equal its number.
  • Link every cell into one connected tree. No loops, no points left out.
  • Where two neighbours are equally close to the root, the choice of parent is yours.

CONTROLS

  • Tap between two cells to cycle link → ✕ → clear.
constructing a layout…

Related: Nurikabe, another connectivity puzzle, growing a sea instead of a tree, and Kirchhoff, another puzzle whose feasibility is a graph computation rather than a search.