task_games__cards__exact_triple_count

Contract

1. Domain: games
2. Scene id: cards
3. Public task id: task_games__cards__exact_triple_count
4. Supported query_id values: single
5. Answer schema: integer_count
6. Annotation schema: bbox_set_map
7. Program schema: count(filter(ranks, count(cards_of_rank(rank)) = 3)); scene=cards; scope=exact_triple_count

Program Contract

Program: count(filter(ranks, count(cards_of_rank(rank)) = 3)); scene=cards; scope=exact_triple_count

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the exact_triple_count objective scope. Operands: visible scene state and prompt-bound operands named by filter, ranks, cards_of_rank, rank, cards, exact_triple_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 bbox_set_map schema; the prompt/annotation contract defines the minimal visual witnesses. Query ids: single.

Reasoning Operations

Families: filtering, counting

Generation Notes

1. Prompt wording comes from src/trace_tasks/resources/prompts/games/cards/games_cards_v1.json.
2. Annotation is projected from the same generated game state used for answer verification.