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Curious Cheetah

Hex Loops

Background

This is similar to Slitherlink, and is arguably a variant. This puzzle appears in "Challenge Your Brain Math & Logic Puzzles" (Dave Tuller & Michael Rios, Puzzle Wright Press).

Puzzle and Goal

An unsolved puzzle consists of a hexagonal grid. Some numbers are placed in the grid.
The goal is to draw a single open path that satisfies the clues.

Rules

The solved grid must satisfy the following conditions: