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Puzzle Dash Line
Solve the "Eulerian Path" puzzle—connect all nodes with a single continuous line without retracing your path or intersecting existing segments.
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About This Game
One Line Path Sort is a Topological Logic and Constraint-Based Pathing puzzle. The core mechanism is the Eulerian Path Principle, where the player must connect all nodes in a grid using a single, continuous line without backtracking. It emphasizes "Vertex-Edge Planning," requiring the player to identify the "Start" and "End" nodes based on their odd/even degree of connection.
How to Play
Click and drag from a starting node to draw a line through all empty tiles. The gameplay is Constraint Solving: you must fill 100% of the grid without crossing your own path. Interaction involves "Directional Locking"—once you move in a direction, the line follows until it hits a wall or node. You win when the entire board is illuminated by the single path.
Tips & Tricks
High scores (Genius Rating) are achieved by "Path-End Calculation." The pro secret is to look for "Dead-End Nodes"—any node with only one entry/exit point must be either the starting or ending point of your line. Identifying these two points before you start drawing allows you to solve even the most complex 10x10 grids in under 5 seconds.
Got Questions?
Q: Can I cross my own line?
A: No. The core rule is that each tile/edge can only be traversed exactly once. If you get blocked, you must undo your last move.
Q: Are there multiple solutions?
A: Usually, no. Most puzzles are designed with a "Unique Valid Path," making it a test of pure deduction rather than trial-and-error.