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Curious Cheetah

Magic Labyrinth

Background

The origin of this puzzle is not known.

Puzzle and Goal

An unsolved puzzle consists of a square grid. Walls have been marked off to indicate a single path through all cells in the grid; a circle indicates the start of the path.
The goal is to place numbers in some of the cells to satisfy the rules.
Magiclabyrinth initial statespacerMagiclabyrinth solution

Rules

The solved grid must satisfy the following conditions:

Playable Online