{ "total_rows": 10000, "unique_ids": 10000, "unique_questions_after_normalization": 10000, "structural_issues": 0, "first_issues": [], "split_counts": { "train": 9000, "validation": 500, "test": 500 }, "split_subject_counts": { "train": { "physics": 2997, "chemistry": 2997, "mathematics": 3006 }, "validation": { "physics": 167, "mathematics": 167, "chemistry": 166 }, "test": { "mathematics": 167, "chemistry": 167, "physics": 166 } }, "subject_counts": { "mathematics": 3340, "physics": 3330, "chemistry": 3330 }, "difficulty_counts": { "hard": 6001, "very_hard": 3999 }, "topic_counts": { "algebra": 334, "sequences_and_series": 668, "calculus": 668, "combinatorics": 334, "probability": 334, "linear_algebra": 334, "vectors": 334, "complex_numbers": 334, "mechanics": 999, "rotational_mechanics": 333, "electricity": 333, "electrostatics": 666, "thermodynamics": 333, "ray_optics": 333, "oscillations": 333, "stoichiometry": 333, "physical_chemistry": 2331, "organic_chemistry": 333, "inorganic_chemistry": 333 }, "template_family_count": 30, "checks": { "exact_10000_rows": true, "unique_ids": true, "unique_questions": true, "exactly_four_options": true, "four_distinct_options": true, "correct_answer_matches_value": true, "four_option_explanations": true, "nonempty_questions_and_solutions": true, "90_5_5_split": true }, "verification_scope": "The answer is produced by the explicit formula encoded in each generator template. Structural and answer-key alignment were checked; no independent subject-matter expert review was performed." }