{"abstract":"Rooms with no candidates consume invigilators.","category":"Exam timetabling constraints","checks":8,"contract":"rooms [room, venue, candidates, has access-arrangement candidate]. A room with candidates needs ceil(candidates / ratio) invigilators plus one if it has an access arrangement; an empty room needs none. Each venue with any invigilators also needs one chief invigilator. Return [per room, per venue including chief, grand total].","contract_signature":"rooms, ratio","evaluation_group":"w2-exam-timetabling-constraints-invigilator-requirement","failed_approach":"Computing the ratio for empty rooms still adds the access-arrangement invigilator to them.","family":"w2-exam-timetabling-constraints-invigilator-requirement-empty-room","id":"FA-94466","implementations":{"attempt":{"sha256":"f4247a2f33119bfa15594bb9ce0f1c771317b41be7e9bcc841c0ce7e97e2aacb","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(rooms, ratio):\n    per = {}\n    venue = {}\n    for r, v, n, acc in rooms:\n        k = 0\n        if n >= 0:\n            k = -(-n // ratio)\n            if acc:\n                k += 1\n        per[r] = k\n        venue.setdefault(v, 0)\n        venue[v] += k\n    for v in venue:\n        if venue[v] > 0:\n            venue[v] += 1\n    return [per, venue, sum(venue.values())]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: empty room 1', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('regression variant: empty room 2',\n   [[['R0', 'main', 31, False], ['R1', 'lab', 30, False], ['R2', 'annex', 1, False],\n     ['R3', 'annex', 25, False], ['R4', 'main', 0, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 1, 'R3': 1, 'R4': 0}, {'main': 3, 'lab': 3, 'annex': 3}, 9]),\n  ('partial repair guard 3', [[['R0', 'main', 0, True], ['R1', 'lab', 30, False]], 30],\n   [{'R0': 0, 'R1': 1}, {'main': 0, 'lab': 2}, 2]),\n  ('boundary control 4', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'main', 25, False], ['R1', 'lab', 0, True], ['R2', 'lab', 0, False], ['R3', 'annex', 30, True],\n     ['R4', 'main', 25, False]],\n    30],\n   [{'R0': 1, 'R1': 0, 'R2': 0, 'R3': 2, 'R4': 1}, {'main': 3, 'lab': 0, 'annex': 3}, 6]),\n  ('normal control 6', [[['R0', 'annex', 0, False]], 25], [{'R0': 0}, {'annex': 0}, 0]),\n  ('normal control 7',\n   [[['R0', 'annex', 0, False], ['R1', 'lab', 30, False], ['R2', 'main', 25, False], ['R3', 'lab', 60, False],\n     ['R4', 'lab', 61, True]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 1, 'R3': 2, 'R4': 4}, {'annex': 0, 'lab': 8, 'main': 2}, 10]),\n  ('normal control 8',\n   [[['R0', 'lab', 0, True], ['R1', 'lab', 0, False], ['R2', 'annex', 31, True], ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 0, 'R2': 3, 'R3': 0}, {'lab': 0, 'annex': 4}, 4])],\n [('regression: empty room 1', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('regression variant: empty room 2',\n   [[['R0', 'annex', 15, False], ['R1', 'main', 0, False], ['R2', 'main', 61, False]], 25],\n   [{'R0': 1, 'R1': 0, 'R2': 3}, {'annex': 2, 'main': 4}, 6]),\n  ('partial repair guard 3',\n   [[['R0', 'lab', 0, True], ['R1', 'lab', 0, False], ['R2', 'annex', 31, True], ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 0, 'R2': 3, 'R3': 0}, {'lab': 0, 'annex': 4}, 4]),\n  ('boundary control 4', [[['R1', 'main', 31, False]], 30], [{'R1': 2}, {'main': 3}, 3]),\n  ('normal control 5',\n   [[['R0', 'lab', 1, False], ['R1', 'main', 60, False], ['R2', 'annex', 15, False],\n     ['R3', 'main', 15, False]],\n    25],\n   [{'R0': 1, 'R1': 3, 'R2': 1, 'R3': 1}, {'lab': 2, 'main': 5, 'annex': 2}, 9]),\n  ('normal control 6', [[['R0', 'main', 61, False], ['R1', 'lab', 25, True], ['R2', 'main', 0, False]], 25],\n   [{'R0': 3, 'R1': 2, 'R2': 0}, {'main': 4, 'lab': 3}, 7]),\n  ('normal control 7',\n   [[['R0', 'main', 0, True], ['R1', 'lab', 1, False], ['R2', 'main', 60, True], ['R3', 'annex', 60, False]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 3, 'R3': 2}, {'main': 4, 'lab': 2, 'annex': 3}, 9]),\n  ('normal control 8',\n   [[['R0', 'lab', 31, False], ['R1', 'lab', 30, False], ['R2', 'annex', 30, False],\n     ['R3', 'main', 61, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 2, 'R3': 3}, {'lab': 5, 'annex': 3, 'main': 4}, 12])],\n [('regression: empty room 1', [[['R0', 'lab', 0, False]], 25], [{'R0': 0}, {'lab': 0}, 0]),\n  ('regression variant: empty room 2', [[['R0', 'main', 60, False], ['R1', 'main', 0, True]], 25],\n   [{'R0': 3, 'R1': 0}, {'main': 4}, 4]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 0, False], ['R2', 'annex', 25, False]], 25],\n   [{'R0': 0, 'R1': 0, 'R2': 1}, {'annex': 2, 'main': 0}, 2]),\n  ('boundary control 4', [[['R1', 'main', 12, True], ['R2', 'main', 40, False]], 25],\n   [{'R1': 2, 'R2': 2}, {'main': 5}, 5]),\n  ('normal control 5', [[['R0', 'lab', 0, False], ['R1', 'lab', 0, False]], 30],\n   [{'R0': 0, 'R1': 0}, {'lab': 0}, 0]),\n  ('normal control 6',\n   [[['R0', 'main', 30, True], ['R1', 'annex', 61, False], ['R2', 'main', 0, True], ['R3', 'main', 30, True]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 2}, {'main': 5, 'annex': 4}, 9]),\n  ('normal control 7',\n   [[['R0', 'main', 60, False], ['R1', 'main', 0, False], ['R2', 'lab', 15, True],\n     ['R3', 'annex', 30, False]],\n    30],\n   [{'R0': 2, 'R1': 0, 'R2': 2, 'R3': 1}, {'main': 3, 'lab': 3, 'annex': 2}, 8]),\n  ('normal control 8', [[['R0', 'main', 60, True], ['R1', 'lab', 61, False], ['R2', 'lab', 25, False]], 30],\n   [{'R0': 3, 'R1': 3, 'R2': 1}, {'main': 4, 'lab': 5}, 9])],\n [('regression: empty room 1',\n   [[['R0', 'main', 0, False], ['R1', 'main', 60, False], ['R2', 'main', 0, False],\n     ['R3', 'annex', 30, False]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 0, 'R3': 1}, {'main': 3, 'annex': 2}, 5]),\n  ('regression variant: empty room 2',\n   [[['R0', 'main', 25, False], ['R1', 'lab', 0, False], ['R2', 'main', 1, False], ['R3', 'main', 60, True],\n     ['R4', 'main', 15, True]],\n    25],\n   [{'R0': 1, 'R1': 0, 'R2': 1, 'R3': 4, 'R4': 2}, {'main': 9, 'lab': 0}, 9]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 1, True], ['R1', 'annex', 25, False], ['R2', 'lab', 0, True], ['R3', 'lab', 30, False]],\n    30],\n   [{'R0': 2, 'R1': 1, 'R2': 0, 'R3': 1}, {'annex': 4, 'lab': 2}, 6]),\n  ('boundary control 4', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('normal control 5',\n   [[['R0', 'main', 60, True], ['R1', 'lab', 30, False], ['R2', 'lab', 0, False], ['R3', 'main', 0, False]],\n    25],\n   [{'R0': 4, 'R1': 2, 'R2': 0, 'R3': 0}, {'main': 5, 'lab': 3}, 8]),\n  ('normal control 6',\n   [[['R0', 'main', 31, False], ['R1', 'annex', 0, False], ['R2', 'lab', 0, False],\n     ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 2, 'R1': 0, 'R2': 0, 'R3': 0}, {'main': 3, 'annex': 0, 'lab': 0}, 3]),\n  ('normal control 7', [[['R0', 'main', 15, False], ['R1', 'annex', 60, False]], 30],\n   [{'R0': 1, 'R1': 2}, {'main': 2, 'annex': 3}, 5]),\n  ('normal control 8', [[['R0', 'main', 60, False], ['R1', 'lab', 61, False], ['R2', 'lab', 61, False]], 30],\n   [{'R0': 2, 'R1': 3, 'R2': 3}, {'main': 3, 'lab': 7}, 10])],\n [('regression: empty room 1', [[['R0', 'main', 0, False], ['R1', 'annex', 60, True]], 25],\n   [{'R0': 0, 'R1': 4}, {'main': 0, 'annex': 5}, 5]),\n  ('regression variant: empty room 2',\n   [[['R0', 'lab', 15, True], ['R1', 'annex', 60, False], ['R2', 'lab', 30, False], ['R3', 'main', 0, False]],\n    30],\n   [{'R0': 2, 'R1': 2, 'R2': 1, 'R3': 0}, {'lab': 4, 'annex': 3, 'main': 0}, 7]),\n  ('partial repair guard 3',\n   [[['R0', 'lab', 25, False], ['R1', 'lab', 60, False], ['R2', 'main', 1, False], ['R3', 'main', 31, True],\n     ['R4', 'main', 0, True]],\n    25],\n   [{'R0': 1, 'R1': 3, 'R2': 1, 'R3': 3, 'R4': 0}, {'lab': 5, 'main': 5}, 10]),\n  ('boundary control 4', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'annex', 0, False], ['R1', 'main', 30, True], ['R2', 'annex', 15, False],\n     ['R3', 'main', 1, False]],\n    25],\n   [{'R0': 0, 'R1': 3, 'R2': 1, 'R3': 1}, {'annex': 2, 'main': 5}, 7]),\n  ('normal control 6',\n   [[['R0', 'main', 0, True], ['R1', 'lab', 1, False], ['R2', 'main', 60, True], ['R3', 'annex', 60, False]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 3, 'R3': 2}, {'main': 4, 'lab': 2, 'annex': 3}, 9]),\n  ('normal control 7',\n   [[['R0', 'annex', 61, True], ['R1', 'lab', 0, False], ['R2', 'annex', 60, True], ['R3', 'lab', 25, False]],\n    30],\n   [{'R0': 4, 'R1': 0, 'R2': 3, 'R3': 1}, {'annex': 8, 'lab': 2}, 10]),\n  ('normal control 8', [[['R0', 'main', 31, False], ['R1', 'main', 0, True]], 30],\n   [{'R0': 2, 'R1': 0}, {'main': 3}, 3])]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(*args), 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":"7198cb046672fac36345ddbce063e53f02b80ea2aefa7e209bd4528ee7604e72","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(rooms, ratio):\n    per = {}\n    venue = {}\n    for r, v, n, acc in rooms:\n        k = 0\n        if n >= 0:\n            k = max(1, -(-n // ratio))\n            if acc:\n                k += 1\n        per[r] = k\n        venue.setdefault(v, 0)\n        venue[v] += k\n    for v in venue:\n        if venue[v] > 0:\n            venue[v] += 1\n    return [per, venue, sum(venue.values())]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: empty room 1', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('regression variant: empty room 2',\n   [[['R0', 'main', 31, False], ['R1', 'lab', 30, False], ['R2', 'annex', 1, False],\n     ['R3', 'annex', 25, False], ['R4', 'main', 0, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 1, 'R3': 1, 'R4': 0}, {'main': 3, 'lab': 3, 'annex': 3}, 9]),\n  ('partial repair guard 3', [[['R0', 'main', 0, True], ['R1', 'lab', 30, False]], 30],\n   [{'R0': 0, 'R1': 1}, {'main': 0, 'lab': 2}, 2]),\n  ('boundary control 4', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'main', 25, False], ['R1', 'lab', 0, True], ['R2', 'lab', 0, False], ['R3', 'annex', 30, True],\n     ['R4', 'main', 25, False]],\n    30],\n   [{'R0': 1, 'R1': 0, 'R2': 0, 'R3': 2, 'R4': 1}, {'main': 3, 'lab': 0, 'annex': 3}, 6]),\n  ('normal control 6', [[['R0', 'annex', 0, False]], 25], [{'R0': 0}, {'annex': 0}, 0]),\n  ('normal control 7',\n   [[['R0', 'annex', 0, False], ['R1', 'lab', 30, False], ['R2', 'main', 25, False], ['R3', 'lab', 60, False],\n     ['R4', 'lab', 61, True]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 1, 'R3': 2, 'R4': 4}, {'annex': 0, 'lab': 8, 'main': 2}, 10]),\n  ('normal control 8',\n   [[['R0', 'lab', 0, True], ['R1', 'lab', 0, False], ['R2', 'annex', 31, True], ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 0, 'R2': 3, 'R3': 0}, {'lab': 0, 'annex': 4}, 4])],\n [('regression: empty room 1', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('regression variant: empty room 2',\n   [[['R0', 'annex', 15, False], ['R1', 'main', 0, False], ['R2', 'main', 61, False]], 25],\n   [{'R0': 1, 'R1': 0, 'R2': 3}, {'annex': 2, 'main': 4}, 6]),\n  ('partial repair guard 3',\n   [[['R0', 'lab', 0, True], ['R1', 'lab', 0, False], ['R2', 'annex', 31, True], ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 0, 'R2': 3, 'R3': 0}, {'lab': 0, 'annex': 4}, 4]),\n  ('boundary control 4', [[['R1', 'main', 31, False]], 30], [{'R1': 2}, {'main': 3}, 3]),\n  ('normal control 5',\n   [[['R0', 'lab', 1, False], ['R1', 'main', 60, False], ['R2', 'annex', 15, False],\n     ['R3', 'main', 15, False]],\n    25],\n   [{'R0': 1, 'R1': 3, 'R2': 1, 'R3': 1}, {'lab': 2, 'main': 5, 'annex': 2}, 9]),\n  ('normal control 6', [[['R0', 'main', 61, False], ['R1', 'lab', 25, True], ['R2', 'main', 0, False]], 25],\n   [{'R0': 3, 'R1': 2, 'R2': 0}, {'main': 4, 'lab': 3}, 7]),\n  ('normal control 7',\n   [[['R0', 'main', 0, True], ['R1', 'lab', 1, False], ['R2', 'main', 60, True], ['R3', 'annex', 60, False]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 3, 'R3': 2}, {'main': 4, 'lab': 2, 'annex': 3}, 9]),\n  ('normal control 8',\n   [[['R0', 'lab', 31, False], ['R1', 'lab', 30, False], ['R2', 'annex', 30, False],\n     ['R3', 'main', 61, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 2, 'R3': 3}, {'lab': 5, 'annex': 3, 'main': 4}, 12])],\n [('regression: empty room 1', [[['R0', 'lab', 0, False]], 25], [{'R0': 0}, {'lab': 0}, 0]),\n  ('regression variant: empty room 2', [[['R0', 'main', 60, False], ['R1', 'main', 0, True]], 25],\n   [{'R0': 3, 'R1': 0}, {'main': 4}, 4]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 0, False], ['R2', 'annex', 25, False]], 25],\n   [{'R0': 0, 'R1': 0, 'R2': 1}, {'annex': 2, 'main': 0}, 2]),\n  ('boundary control 4', [[['R1', 'main', 12, True], ['R2', 'main', 40, False]], 25],\n   [{'R1': 2, 'R2': 2}, {'main': 5}, 5]),\n  ('normal control 5', [[['R0', 'lab', 0, False], ['R1', 'lab', 0, False]], 30],\n   [{'R0': 0, 'R1': 0}, {'lab': 0}, 0]),\n  ('normal control 6',\n   [[['R0', 'main', 30, True], ['R1', 'annex', 61, False], ['R2', 'main', 0, True], ['R3', 'main', 30, True]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 2}, {'main': 5, 'annex': 4}, 9]),\n  ('normal control 7',\n   [[['R0', 'main', 60, False], ['R1', 'main', 0, False], ['R2', 'lab', 15, True],\n     ['R3', 'annex', 30, False]],\n    30],\n   [{'R0': 2, 'R1': 0, 'R2': 2, 'R3': 1}, {'main': 3, 'lab': 3, 'annex': 2}, 8]),\n  ('normal control 8', [[['R0', 'main', 60, True], ['R1', 'lab', 61, False], ['R2', 'lab', 25, False]], 30],\n   [{'R0': 3, 'R1': 3, 'R2': 1}, {'main': 4, 'lab': 5}, 9])],\n [('regression: empty room 1',\n   [[['R0', 'main', 0, False], ['R1', 'main', 60, False], ['R2', 'main', 0, False],\n     ['R3', 'annex', 30, False]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 0, 'R3': 1}, {'main': 3, 'annex': 2}, 5]),\n  ('regression variant: empty room 2',\n   [[['R0', 'main', 25, False], ['R1', 'lab', 0, False], ['R2', 'main', 1, False], ['R3', 'main', 60, True],\n     ['R4', 'main', 15, True]],\n    25],\n   [{'R0': 1, 'R1': 0, 'R2': 1, 'R3': 4, 'R4': 2}, {'main': 9, 'lab': 0}, 9]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 1, True], ['R1', 'annex', 25, False], ['R2', 'lab', 0, True], ['R3', 'lab', 30, False]],\n    30],\n   [{'R0': 2, 'R1': 1, 'R2': 0, 'R3': 1}, {'annex': 4, 'lab': 2}, 6]),\n  ('boundary control 4', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('normal control 5',\n   [[['R0', 'main', 60, True], ['R1', 'lab', 30, False], ['R2', 'lab', 0, False], ['R3', 'main', 0, False]],\n    25],\n   [{'R0': 4, 'R1': 2, 'R2': 0, 'R3': 0}, {'main': 5, 'lab': 3}, 8]),\n  ('normal control 6',\n   [[['R0', 'main', 31, False], ['R1', 'annex', 0, False], ['R2', 'lab', 0, False],\n     ['R3', 'annex', 0, False]],\n    25],\n   [{'R0': 2, 'R1': 0, 'R2': 0, 'R3': 0}, {'main': 3, 'annex': 0, 'lab': 0}, 3]),\n  ('normal control 7', [[['R0', 'main', 15, False], ['R1', 'annex', 60, False]], 30],\n   [{'R0': 1, 'R1': 2}, {'main': 2, 'annex': 3}, 5]),\n  ('normal control 8', [[['R0', 'main', 60, False], ['R1', 'lab', 61, False], ['R2', 'lab', 61, False]], 30],\n   [{'R0': 2, 'R1': 3, 'R2': 3}, {'main': 3, 'lab': 7}, 10])],\n [('regression: empty room 1', [[['R0', 'main', 0, False], ['R1', 'annex', 60, True]], 25],\n   [{'R0': 0, 'R1': 4}, {'main': 0, 'annex': 5}, 5]),\n  ('regression variant: empty room 2',\n   [[['R0', 'lab', 15, True], ['R1', 'annex', 60, False], ['R2', 'lab', 30, False], ['R3', 'main', 0, False]],\n    30],\n   [{'R0': 2, 'R1': 2, 'R2': 1, 'R3': 0}, {'lab': 4, 'annex': 3, 'main': 0}, 7]),\n  ('partial repair guard 3',\n   [[['R0', 'lab', 25, False], ['R1', 'lab', 60, False], ['R2', 'main', 1, False], ['R3', 'main', 31, True],\n     ['R4', 'main', 0, True]],\n    25],\n   [{'R0': 1, 'R1': 3, 'R2': 1, 'R3': 3, 'R4': 0}, {'lab': 5, 'main': 5}, 10]),\n  ('boundary control 4', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'annex', 0, False], ['R1', 'main', 30, True], ['R2', 'annex', 15, False],\n     ['R3', 'main', 1, False]],\n    25],\n   [{'R0': 0, 'R1': 3, 'R2': 1, 'R3': 1}, {'annex': 2, 'main': 5}, 7]),\n  ('normal control 6',\n   [[['R0', 'main', 0, True], ['R1', 'lab', 1, False], ['R2', 'main', 60, True], ['R3', 'annex', 60, False]],\n    30],\n   [{'R0': 0, 'R1': 1, 'R2': 3, 'R3': 2}, {'main': 4, 'lab': 2, 'annex': 3}, 9]),\n  ('normal control 7',\n   [[['R0', 'annex', 61, True], ['R1', 'lab', 0, False], ['R2', 'annex', 60, True], ['R3', 'lab', 25, False]],\n    30],\n   [{'R0': 4, 'R1': 0, 'R2': 3, 'R3': 1}, {'annex': 8, 'lab': 2}, 10]),\n  ('normal control 8', [[['R0', 'main', 31, False], ['R1', 'main', 0, True]], 30],\n   [{'R0': 2, 'R1': 0}, {'main': 3}, 3])]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(*args), 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":"Stipulated toy exam-timetabling rule set for a bounded model; it does not claim conformance with any institution's regulations or a benchmark specification, and it performs no search or optimisation. 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":"w2-exam-timetabling-constraints-invigilator-requirement-empty-room","generated_at":"2026-09-29T14:52:04.609989+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Invigilation staffing follows directly from the room plan of a timetable.","root_cause":"The room loop staffs every room with at least one invigilator.","sha256":"32ebd9ad52b9813f4d91e302f9ed1fad4f1e7f0cf4c7752191d45498f0b96461","title":"Empty exam rooms staffed with an invigilator · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary 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