task_games__minecraft__stack_height_condition_count

Contract

1. Domain: games
2. Scene id: minecraft
3. Public task id: task_games__minecraft__stack_height_condition_count
4. Supported query_id values: exact_height_count, at_least_height_count
5. Answer schema: integer
6. Annotation schema: bbox_set

Program Contract

Program: count(filter(stacks, height_relation(stack.height, target_height)=exact|at_least)); scene=minecraft; scope=stack_height_condition_count

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the stack_height_condition_count objective scope. Operands: visible scene state and prompt-bound operands named by filter, stacks, height_relation, stack, height, target_height, exact, at_least, minecraft, stack_height_condition_count plus the active query_id branch. 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 schema; the prompt/annotation contract defines the minimal visual witnesses. Query ids: exact_height_count, at_least_height_count.

Reasoning Operations

Families: filtering, counting, comparison

Generation Notes

1. The scene contains visible cube columns with contiguous block levels from the ground upward.
2. exact_height_count asks for stacks exactly the target height.
3. at_least_height_count asks for stacks at least the target height.
4. Annotation boxes enclose every qualifying visible stack.
5. The generated answer support is capped at 5.