Planning
Puzzles

A planning puzzle gives you a starting state, a set of legal actions and a goal that cannot usually be reached well by treating each move in isolation. Progress depends on preserving or creating options for later.

What makes a puzzle about planning?

Many puzzles involve decisions, but not every decision is a plan. In a target hunt, the useful action is attached to what you see now: find a matching symbol and select it. In a planning puzzle, the board after your action becomes part of the decision. A move can be locally attractive and still damage the route.

Three ingredients make that possible. The state must change, the consequences of an action must be predictable, and the order of actions must affect whether the goal is reached efficiently. Sliding blocks, river crossings, Towers of Hanoi and switch puzzles express those ingredients in different ways.

A practical planning loop

1. Name the goal exactly. “Improve the board” is too vague. Decide what must be true at the finish and which restrictions must remain true on the way.
2. List the effect of one action. Separate what the move changes directly from the neighbouring pieces, routes or resources it changes indirectly.
3. Protect scarce options. Do not block an exit, consume the only free space or move the only useful connector until its later role is complete.
4. Work backwards from forced states. Ask which move could create the final position. That often reveals what the previous position must contain.
5. Commit, then compare. After a move, check the actual state against the one you predicted. If they differ, revise the model rather than repeating the same trial.

Forward planning and backward planning

Forward planning begins with the current state: “If I move this piece, what happens next?” It is natural and useful when consequences are short. The difficulty is branching. If five moves are legal now and five more follow each of them, an unstructured search grows quickly.

Backward planning begins with the goal: “What must be true immediately before the last move?” It works well when the final step is constrained. In Toggle Grid, a light in one row can only be changed by presses in that row or the rows directly beside it. Once you move down the board, the available repair routes narrow.

Why undo does not erase the plan

Undo is useful feedback, not a substitute for consequences. It lets you test whether your prediction matched the board and recover without reconstructing the initial state by hand. Toggle Grid still counts the reversing press in move efficiency, so exploration remains visible in the result.

A reset is broader: it restores the starting position but retains the press count for that round. This makes the interface forgiving without allowing a long unsuccessful route to disappear from the score.

How Toggle Grid creates fair boards

The generator creates only reachable states by applying legal presses to a solved board. An independent exact solver then tests every possible first-row pattern, chases its consequences down the remaining rows and selects the shortest complete route. A board is used only when its true optimum falls inside the difficulty range.

This matters because surface busyness is not a reliable difficulty measure. A board with many lights can collapse in two presses, while a sparse arrangement may require a longer sequence. Difficulty should follow the actual route, not the screenshot.

What Planning Workout scores mean

Toggle Grid puts completion first, move efficiency second and pace a distant third. That balance is specific to a reversible planning game; it is deliberately different from the accuracy-led recipe used for multiple-choice puzzles. Difficulty records remain separate.

A score describes one recreational puzzle session. It does not measure executive function, intelligence, decision-making quality or neurological health. Improvement can reflect familiarity with this particular rule as much as any broader change.

Planning puzzle questions