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task_games__sliding_block__movable_block_count

Contract

  1. Domain: games
  2. Scene id: sliding_block
  3. Public task id: task_games__sliding_block__movable_block_count
  4. Supported query_id values: single
  5. Answer schema: integer
  6. Annotation schema: bbox_set
  7. Program schema: count(blocks_with_legal_one_cell_slide_along_orientation(board_state)); scene=sliding_block; scope=movable_block_count
  8. Scalar annotation checked: true

Program Contract

Program: count(blocks_with_legal_one_cell_slide_along_orientation(board_state)); scene=sliding_block; scope=movable_block_count

Candidate set: the visible game board, pieces, tokens, cards, tiles, marked state, legal-move cues, result panels, and labeled options inside the movable_block_count objective scope. Operands: visible scene state and prompt-bound operands named by blocks_with_legal_one_cell_slide_along_orientation, board_state, sliding_block, movable_block_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 schema; the prompt/annotation contract defines the minimal visual witnesses. Query ids: single.

Reasoning Operations

Families: counting, state_update

Generation Notes

  1. The board has no target block for this task.
  2. Horizontal blocks slide horizontally and vertical blocks slide vertically.
  3. A block is counted if at least one one-cell slide stays inside the board and does not overlap another block.
  4. Annotation is the bbox set of all counted blocks.