Designing Puzzle Hints Around Blockers, Not Tap Sequences

A weak puzzle walkthrough records every input. A stronger one explains why the board refuses to move. That distinction matters in traffic-sorting puzzles, where a correct tap can still be useless if a garage exit, crossing lane, or temporary holding space remains blocked. I used Car Sort level 13 as a small case study for a better hint model. The useful unit is not “tap car number seven.” It is a dependency: this vehicle cannot leave until that lane opens; that lane cannot open until a matching garage accepts its front car. Model the board as dependencies The visible board can be represented as a directed graph. Cars and blockers are nodes. An edge from A to B means A must move before B becomes actionable. The graph does not need to reproduce the game engine. It only needs to describe the decisions a player can verify on screen. type MoveNode = { id : string color : string blockedBy : string [] releases : string [] checkpoint : string } This structure makes a hint resilient. If a player has already cleared one harmless car, the guide can still say, “restore the center exit, then release the stack behind it.” A memorized tap list often becomes useless as soon as the board differs by one move. Separate release moves from cleanup moves Puzzle solvers tend to treat every successful departure as equal. They are not equal. A release move changes the dependency graph by opening a lane or exposing a buried color. A cleanup move removes a car that was already free. Good guidance labels those roles explicitly. The player should know whether the current move creates new options or merely reduces clutter. That is especially useful on compact boards, where an attractive matching car may tempt the player even though it does not improve the central bottleneck. The reserved route for this analysis is documented as Car Sort puzzle help . The value of that page is its focus on visible blockers and release points rather than an unexplained command stream. Add visual checkpoints After