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task_games__crossing__first_exit_object_label

Contract

  1. Domain: games
  2. Scene id: crossing
  3. Public task id: task_games__crossing__first_exit_object_label
  4. Supported query_id values: single
  5. Answer schema: label_string
  6. Annotation schema: point
  7. Program schema: label(argmin(labeled_moving_objects, exit_tick(object, lane_count, direction))); scene=crossing; scope=first_exit_object_label

Program Contract

Program: label(argmin(labeled_moving_objects, exit_tick(object, lane_count, direction))); scene=crossing; scope=first_exit_object_label

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the first_exit_object_label objective scope. Operands: visible scene state and prompt-bound operands named by argmin, labeled_moving_objects, exit_tick, object, lane_count, direction, crossing, first_exit_object_label. Operation: evaluate label over the candidate set using the visible game state, rules, legal moves, comparisons, counts, simulations, or option-selection constraints encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the string schema; generation binds a unique final answer. Annotation witnesses: annotation uses the point schema; the prompt/annotation contract defines the minimal visual witnesses. Query ids: single.

Reasoning Operations

Families: ranking

Generation Notes

  1. Exactly four moving objects are labeled A through D; the answer is one of those labels.
  2. The scene has no runner route; each labeled object moves horizontally by one lane cell per tick.
  3. The target labeled object is the unique labeled object that exits past a left or right edge first.
  4. Annotation is the center point of the labeled moving object that leaves the board first.