{"abstract":"Approximation badges identify lower-bound count mode is violated by the widget projection.","category":"Filter interfaces","checks":10,"contract":"Facet count presentations use exact, lower-bound or unknown modes; selected zero-count values remain represented and total counts are never inferred by adding overlapping facet buckets. This example checks: Approximation badges identify lower-bound count mode.","contract_signature":"d","evaluation_group":"s3-filter-interfaces-facet-count-policy","failed_approach":"The attempted correction `d['count']>d['total']` still violates the explicit contract fixtures.","family":"s3-filter-interfaces-facet-count-policy-approximate-badge","id":"FA-25431","implementations":{"attempt":{"sha256":"fef080339cb8b61c90f2c2c783742bf474f425691c21554e871d8f0723bfa411","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'count-prefix':('≥' if d['mode']=='lower' else ('?' if d['mode']=='unknown' else '')), 'count-text':('?' if d['mode']=='unknown' else str(d['count'])), 'zero-disable':(d['mode']=='exact' and d['count']==0 and not d['selected']), 'total-source':(d['total']), 'approximate-badge':(d['count']>d['total']), 'count-sort-ready':(d['mode']=='exact' and not d['loading'])}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 2: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'lower', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 3: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 4: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True})], 5: [({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})]}\nfor index, (data, expected) in enumerate(fixtures[N]):\n    check(\"contract fixture \" + str(index), solve(data), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"69a7d4abf33d48a0918d667a4606a228a0ead735e0c916ba6e74ecf752abb0b5","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'count-prefix':('≥' if d['mode']=='lower' else ('?' if d['mode']=='unknown' else '')), 'count-text':('?' if d['mode']=='unknown' else str(d['count'])), 'zero-disable':(d['mode']=='exact' and d['count']==0 and not d['selected']), 'total-source':(d['total']), 'approximate-badge':(d['mode']!='exact'), 'count-sort-ready':(d['mode']=='exact' and not d['loading'])}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 2: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'lower', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 3: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})], 4: [({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': True})], 5: [({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [3, 4], 'loading': False}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'lower', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '≥', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': True, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'unknown', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '?', 'count-text': '?', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': True, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 0, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '0', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': False, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False}), ({'mode': 'exact', 'count': 4, 'selected': True, 'total': 5, 'buckets': [1], 'loading': True}, {'count-prefix': '', 'count-text': '4', 'zero-disable': False, 'total-source': 5, 'approximate-badge': False, 'count-sort-ready': False})]}\nfor index, (data, expected) in enumerate(fixtures[N]):\n    check(\"contract fixture \" + str(index), solve(data), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Deterministic bounded UI-state model only; no browser, query engine, network, or production-standard conformance is claimed. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-filter-interfaces-facet-count-policy-approximate-badge","generated_at":"2026-09-29T14:41:06.544682+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Filter-widget state and serialization must preserve user constraints while the view changes.","root_cause":"The approximate-badge decision uses `d['mode']!='exact'` instead of the stipulated facet-count-policy projection.","sha256":"bc3e668e6c274d0a39fa6339be56703e35a860c31ad9713241695d42c537cb65","title":"Approximation badges identify lower-bound count mode · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":39.913,"exit_code":1,"observations":[{"actual":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 0","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 1","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 2","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 3","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 4","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 5","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":false,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 6","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":false,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 7","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 8","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 9","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"contract fixture 0\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 1\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 2\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 3\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 4\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 5\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 6\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 7\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 8\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 9\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.164,"exit_code":1,"observations":[{"actual":{"approximate-badge":true,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 0","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 1","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 2","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 3","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 4","expected":{"approximate-badge":false,"count-prefix":"","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"check":"contract fixture 5","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"0","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 6","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"check":"contract fixture 7","expected":{"approximate-badge":true,"count-prefix":"≥","count-sort-ready":false,"count-text":"4","total-source":5,"zero-disable":false},"passed":true},{"actual":{"approximate-badge":true,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 8","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":false},{"actual":{"approximate-badge":true,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"check":"contract fixture 9","expected":{"approximate-badge":false,"count-prefix":"?","count-sort-ready":false,"count-text":"?","total-source":5,"zero-disable":false},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"contract fixture 0\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 1\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 2\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 3\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 4\", \"actual\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 5\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"0\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 6\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 7\", \"actual\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"≥\", \"count-text\": \"4\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"passed\": true}, {\"check\": \"contract fixture 8\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": false}, {\"check\": \"contract fixture 9\", \"actual\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": true, \"count-sort-ready\": false}, \"expected\": {\"count-prefix\": \"?\", \"count-text\": \"?\", \"zero-disable\": false, \"total-source\": 5, \"approximate-badge\": false, \"count-sort-ready\": false}, \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}