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task_puzzles__balance_scale__weight_order_label

Program Contract

Program: select_option(balance_comparison_grammar, target=lightest_to_heaviest_order, unknowns=A|B|C, panels=3); scene=balance_scale; scope=weight_order_label

Candidate set: the visible balance-scale panels, object symbols, object counts, side relations, and query markers inside the weight_order_label objective scope. Operands: visible scene state and prompt-bound operands named by balance_comparison_grammar, lightest_to_heaviest_order, unknowns, A, B, C, panels, balance_scale, weight_order_label. Operation: evaluate select_option over the candidate set using the visible states, constraints, transforms, comparisons, counts, paths, or option-selection rules encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the string schema; generation binds a unique final answer. Annotation witnesses: annotation uses the bbox schema; scalar bbox marks the selected order option. Query ids: single.

Reasoning Operations

Families: ranking, formula_evaluation, matching

2) Scene + task contract

  1. Entities/relations: Three pan-scale comparison panels over three unknown object labels, using direct-offset, shared-object-context, or aggregate comparison expressions, plus a query row with four visual order options.
  2. Supported query_id values: single
  3. answer_gt.type: string
  4. Annotation schema: bbox
  5. Alternate annotation forms: none
  6. Annotation witness policy: scalar bbox marks the selected order option.
  7. Overlap/touch policy: option bbox covers the selected option card, including its option label and order text.

3) Prompt contract

  1. prompt_bundle_id: puzzles_balance_scale_v1
  2. scene_key: balance_scale
  3. task_key: balance_scale_query
  4. Optional query-id prompt mapping: public single uses prompt query key weight_order_label.
  5. Required slots:
  6. answer output: answer_hint, json_example_answer_only
  7. answer+annotation mode: annotation_hint, answer_hint, json_example
  8. JSON example validity rule: the example must use one selected-option bbox and one option-label answer.
  9. Variant counts: 5 scene templates, 5 query templates, and 5 output templates per output mode.
  10. Output modes: answer_only, answer_and_annotation

4) Determinism + constraints

  1. Seed namespaces used: task-local object order/comparison namespaces plus shared balance scene/style/font/unit-size namespaces.
  2. Unique-answer policy: generated comparison panels must force a unique lightest-to-heaviest order over the configured weight support.
  3. Reject/resample conditions: identical pan expressions, redundant same numeric tokens on both sides, any panel count other than three, ambiguous order, non-four-option query row, or missing selected-option bbox raise and retry within max_attempts.
  4. No-auto-relaxation guarantee: semantic constraints are not relaxed; generation retries rather than accepting ambiguous comparisons.

5) Tests

  1. Determinism test: tests/test_puzzles_balance_scale_tasks.py::test_weight_order_task_is_deterministic
  2. Answer/annotation consistency test: tests/test_puzzles_balance_scale_tasks.py::test_weight_order_task_emits_public_contract
  3. Prompt metadata/placeholder test: covered by source-layout checks and prompt-system tests.
  4. Constraint-specific tests: tests/test_puzzles_balance_scale_tasks.py::test_weight_order_comparisons_imply_one_option