task_games__2048__merge_count

Contract

1. Domain: games
2. Scene package: src/trace_tasks/tasks/games/2048/
3. Scene id: 2048
4. Public task id: task_games__2048__merge_count
5. Supported query_id values: single
6. Prompt query key: merge_count
7. Answer schema: integer_count
8. Annotation schema: segment_set
9. Program schema: count(simulate(board, rules=slide_merge_2048, action=move_direction).merge_events); scene=2048; scope=merge_count

Program Contract

Program: count(simulate(board, rules=slide_merge_2048, action=move_direction).merge_events); scene=2048; scope=merge_count

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the merge_count objective scope. Operands: visible scene state and prompt-bound operands named by simulate, board, rules, slide_merge_2048, action, move_direction, merge_events, merge_count. Operation: evaluate count 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 integer schema; generation binds a unique final answer. Annotation witnesses: annotation uses the segment_set schema; the prompt/annotation contract defines the minimal visual witnesses. Query ids: single.

Reasoning Operations

Families: counting, state_update

Generation Notes

1. Query ids are internal replay/sampling keys and do not define public task units.
2. Annotation is projected from the same generated game state used for answer verification.
3. Annotation is a segment_set; each segment is [[x0, y0], [x1, y1]] and connects the centers of the two original source tile cells that merge. Annotation cardinality equals the merge-count answer.