{ "passed": true, "every_record_checked": true, "cross_group_intersections": 0, "within_group_overlap_count": 52670, "groups_with_positive_mass": 4876, "groups_with_zero_mass": 123, "counter_randomized_bruteforce_cases": 120, "r1_group_sizes": { "min": 0.0, "median": 12.0, "p95": 30.0, "max": 102.0 }, "r2_group_sizes": { "min": 0.0, "median": 9.0, "p95": 25.0, "max": 56.0 }, "spot_check": { "seed": 20260915, "groups": [ 283, 928, 958, 1226, 1341, 1618, 2035, 2592, 2765, 2935, 3012, 3086, 3217, 3391, 3689, 3974, 4227, 4555, 4588, 4639 ], "positive_pairs_examined": 188, "scope": "Deterministic geometric spot checks; not a population distribution estimate", "intersection_area_pixel_squared": { "min": 96.201, "median": 15806.079365, "p95": 140074.120744, "max": 443163.327255 }, "iou": { "min": 0.0003947396638941596, "median": 0.9583546310370568, "p95": 0.9954061239613281, "max": 0.9983685873420934 }, "shared_exact_geometry_occurrences_in_selected_groups": 0 }, "numeric_range": { "max_coordinate": 4113595080, "unit_weights": true, "note": "Algorithm-specific area and cumulative-mass overflow checks remain required." } }