task_icons__named_grid__row_column_shape_extreme_number

• domain: icons
• scene_id: named_grid
• task: row_column_shape_extreme_number
• module: src/trace_tasks/tasks/icons/named_grid/row_column_shape_extreme_number.py

Program Contract

Program: selection.extreme_metric_label(scene=named_grid, scope=numbered_rows_or_columns, metric=target_shape_count, extrema=most|fewest, output=one_based_line_number)

Candidate set: the visible icon instances, icon attributes, fields, grids, paths, panels, reference items, and labeled option cards inside the numbered_rows_or_columns objective scope. Operands: visible scene state and prompt-bound operands named by named_grid, numbered_rows_or_columns, metric, target_shape_count, extrema, most, fewest, one_based_line_number. Operation: evaluate selection.extreme_metric_label over the candidate set using the visible icon attributes, positions, relationships, transforms, counts, comparisons, or option-selection constraints encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the one_based_line_number schema; generation binds a unique final answer. Annotation witnesses: annotation uses the bbox_set schema; non-empty. Annotation schema: bbox_set. Query ids: single.

Reasoning Operations

Families: filtering, counting, ranking

Query IDs

• row_most_shape_number
• row_fewest_shape_number
• column_most_shape_number
• column_fewest_shape_number

Generation

Default answer-line support is 1..6. Grid sizes are sampled from every row/column combination in 4..6.

The selected row or column has a unique target-shape count extreme by construction. For most-count queries, every other row or column has fewer target-shape icons. For fewest-count queries, every other row or column has more target-shape icons. The winning line contains at least one target icon so prompt-facing annotation is non-empty.

Fill style and color are rendered as non-semantic visual variation.

Trace

The trace records: - every named icon with row/column indices, row/column numbers, cell bbox, and icon bbox, - the target shape id/name, - the queried axis, extremum, selected row/column number, and winning count, - row and column target-shape counts, - selected-line target cells and off-line target distractor cells, - render-style metadata for the panel title and row/column number-label text legibility, - query, answer-line, grid-size, winning-count, shape, and fill-style probability metadata.