task_games__sliding_block__block_orientation_count

Contract

1. Domain: games
2. Scene id: sliding_block
3. Public task id: task_games__sliding_block__block_orientation_count
4. Supported query_id values: horizontal_block_count, vertical_block_count
5. Answer schema: integer
6. Annotation schema: bbox_set
7. Program schema: count(blocks_matching_orientation(board_state, requested_orientation)); scene=sliding_block; scope=block_orientation_count
8. Scalar annotation checked: true

Program Contract

Program: count(blocks_matching_orientation(board_state, requested_orientation)); scene=sliding_block; scope=block_orientation_count

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the block_orientation_count objective scope. Operands: visible scene state and prompt-bound operands named by blocks_matching_orientation, board_state, requested_orientation, sliding_block, block_orientation_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: horizontal_block_count, vertical_block_count.

Reasoning Operations

Families: counting

Generation Notes

1. The board has no target block or exit arrow for this task.
2. horizontal_block_count counts blocks wider than they are tall.
3. vertical_block_count counts blocks taller than they are wide.
4. The generated answer support is 1..6.
5. Annotation is the bbox set of all blocks matching the requested orientation.