{"abstract":"The staffing request is short by one person per venue.","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].","evaluation_group":"w2-exam-timetabling-constraints-invigilator-requirement","failed_approach":"Adding one chief per venue counts chiefs for unused venues.","family":"w2-exam-timetabling-constraints-invigilator-requirement-grand-total-source","id":"FA-94476","implementations":{"attempt":{"sha256":"959df33a0751fe77b04880b8295d3d8919ff361a44652f332df73a6fc96b4827","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(per.values()) + len(venue)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: grand total source 1', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 0, False], ['R1', 'annex', 60, True]], 25],\n   [{'R0': 0, 'R1': 4}, {'main': 0, 'annex': 5}, 5]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False], ['R1', 'main', 31, False]], 30],\n   [{'R0': 0, 'R1': 2}, {'lab': 0, 'main': 3}, 3]),\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', 60, True], ['R1', 'main', 30, True], ['R2', 'annex', 15, False], ['R3', 'lab', 60, True],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 4, 'R1': 3, 'R2': 1, 'R3': 4, 'R4': 2}, {'main': 8, 'annex': 2, 'lab': 7}, 17]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, False], ['R2', 'lab', 15, False]], 30],\n   [{'R0': 0, 'R1': 3, 'R2': 1}, {'main': 0, 'lab': 5}, 5]),\n  ('normal control 7',\n   [[['R0', 'lab', 60, False], ['R1', 'lab', 61, False], ['R2', 'main', 0, True], ['R3', 'annex', 61, False],\n     ['R4', 'lab', 61, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 3, 'R4': 3}, {'lab': 9, 'main': 0, 'annex': 4}, 13]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 31, False]], 30], [{'R1': 2}, {'main': 3}, 3]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 61, False]], 30],\n   [{'R0': 3}, {'main': 4}, 4]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False]], 30], [{'R0': 0}, {'lab': 0}, 0]),\n  ('normal control 4',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\n  ('normal control 5', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('normal control 6',\n   [[['R0', 'lab', 30, False], ['R1', 'lab', 15, False], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 0, 'R3': 1}, {'lab': 4, 'annex': 2}, 6]),\n  ('normal control 7', [[['R0', 'annex', 60, False]], 25], [{'R0': 3}, {'annex': 4}, 4]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 0, True], ['R1', 'lab', 30, False]], 30],\n   [{'R0': 0, 'R1': 1}, {'annex': 0, 'lab': 2}, 2]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\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',\n   [[['R0', 'main', 31, False], ['R1', 'main', 0, True], ['R2', 'lab', 61, False], ['R3', 'lab', 0, False],\n     ['R4', 'main', 31, False]],\n    30],\n   [{'R0': 2, 'R1': 0, 'R2': 3, 'R3': 0, 'R4': 2}, {'main': 5, 'lab': 4}, 9]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, True], ['R2', 'lab', 15, True]], 25],\n   [{'R0': 0, 'R1': 4, 'R2': 2}, {'main': 0, 'lab': 7}, 7]),\n  ('normal control 7', [[['R0', 'lab', 15, True], ['R1', 'lab', 60, True], ['R2', 'lab', 15, False]], 25],\n   [{'R0': 2, 'R1': 4, 'R2': 1}, {'lab': 8}, 8]),\n  ('normal control 8', [[['R0', 'lab', 15, True]], 30], [{'R0': 2}, {'lab': 3}, 3])],\n [('regression: grand total source 1', [[['R1', 'main', 12, True], ['R2', 'main', 40, False]], 25],\n   [{'R1': 2, 'R2': 2}, {'main': 5}, 5]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 31, False]], 25],\n   [{'R0': 2}, {'annex': 3}, 3]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, True], ['R1', 'main', 61, False]], 25],\n   [{'R0': 0, 'R1': 3}, {'lab': 0, 'main': 4}, 4]),\n  ('boundary control 4', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('normal control 5',\n   [[['R0', 'main', 30, False], ['R1', 'lab', 30, True], ['R2', 'annex', 0, False], ['R3', 'lab', 60, True]],\n    25],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 4}, {'main': 3, 'lab': 8, 'annex': 0}, 11]),\n  ('normal control 6',\n   [[['R0', 'annex', 0, False], ['R1', 'annex', 1, False], ['R2', 'main', 1, False],\n     ['R3', 'main', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 1, 'R2': 1, 'R3': 0}, {'annex': 2, 'main': 2}, 4]),\n  ('normal control 7', [[['R0', 'annex', 61, True], ['R1', 'lab', 1, True], ['R2', 'lab', 1, True]], 25],\n   [{'R0': 4, 'R1': 2, 'R2': 2}, {'annex': 5, 'lab': 5}, 10]),\n  ('normal control 8',\n   [[['R0', 'main', 31, False], ['R1', 'main', 31, False], ['R2', 'lab', 60, True],\n     ['R3', 'annex', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 4, 'R3': 3}, {'main': 5, 'lab': 5, 'annex': 4}, 14])],\n [('regression: grand total source 1', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('regression variant: grand total source 2',\n   [[['R0', 'lab', 31, False], ['R1', 'main', 60, True], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False],\n     ['R4', 'annex', 15, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 1, 'R4': 1}, {'lab': 3, 'main': 4, 'annex': 3}, 10]),\n  ('partial repair guard 3',\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  ('boundary control 4', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 30, False], ['R2', 'lab', 60, True], ['R3', 'main', 0, True]],\n    30],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 0}, {'annex': 4, 'lab': 5, 'main': 0}, 9]),\n  ('normal control 6',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 15, False], ['R2', 'annex', 31, True],\n     ['R3', 'annex', 30, True]],\n    25],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 3}, {'annex': 10, 'lab': 2}, 12]),\n  ('normal control 7',\n   [[['R0', 'lab', 15, True], ['R1', 'lab', 1, False], ['R2', 'main', 31, False], ['R3', 'main', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 2, 'R3': 3}, {'lab': 4, 'main': 6}, 10]),\n  ('normal control 8',\n   [[['R0', 'lab', 31, True], ['R1', 'lab', 60, False], ['R2', 'lab', 60, False], ['R3', 'lab', 31, False],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 3, 'R1': 3, 'R2': 3, 'R3': 2, 'R4': 2}, {'lab': 14}, 14])]]\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":"19328b3053a3eb52f0cce0c35e4feb368ad8d6a3364529f5f7c8c52a655f036e","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(per.values())]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: grand total source 1', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 0, False], ['R1', 'annex', 60, True]], 25],\n   [{'R0': 0, 'R1': 4}, {'main': 0, 'annex': 5}, 5]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False], ['R1', 'main', 31, False]], 30],\n   [{'R0': 0, 'R1': 2}, {'lab': 0, 'main': 3}, 3]),\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', 60, True], ['R1', 'main', 30, True], ['R2', 'annex', 15, False], ['R3', 'lab', 60, True],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 4, 'R1': 3, 'R2': 1, 'R3': 4, 'R4': 2}, {'main': 8, 'annex': 2, 'lab': 7}, 17]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, False], ['R2', 'lab', 15, False]], 30],\n   [{'R0': 0, 'R1': 3, 'R2': 1}, {'main': 0, 'lab': 5}, 5]),\n  ('normal control 7',\n   [[['R0', 'lab', 60, False], ['R1', 'lab', 61, False], ['R2', 'main', 0, True], ['R3', 'annex', 61, False],\n     ['R4', 'lab', 61, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 3, 'R4': 3}, {'lab': 9, 'main': 0, 'annex': 4}, 13]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 31, False]], 30], [{'R1': 2}, {'main': 3}, 3]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 61, False]], 30],\n   [{'R0': 3}, {'main': 4}, 4]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False]], 30], [{'R0': 0}, {'lab': 0}, 0]),\n  ('normal control 4',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\n  ('normal control 5', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('normal control 6',\n   [[['R0', 'lab', 30, False], ['R1', 'lab', 15, False], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 0, 'R3': 1}, {'lab': 4, 'annex': 2}, 6]),\n  ('normal control 7', [[['R0', 'annex', 60, False]], 25], [{'R0': 3}, {'annex': 4}, 4]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 0, True], ['R1', 'lab', 30, False]], 30],\n   [{'R0': 0, 'R1': 1}, {'annex': 0, 'lab': 2}, 2]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\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',\n   [[['R0', 'main', 31, False], ['R1', 'main', 0, True], ['R2', 'lab', 61, False], ['R3', 'lab', 0, False],\n     ['R4', 'main', 31, False]],\n    30],\n   [{'R0': 2, 'R1': 0, 'R2': 3, 'R3': 0, 'R4': 2}, {'main': 5, 'lab': 4}, 9]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, True], ['R2', 'lab', 15, True]], 25],\n   [{'R0': 0, 'R1': 4, 'R2': 2}, {'main': 0, 'lab': 7}, 7]),\n  ('normal control 7', [[['R0', 'lab', 15, True], ['R1', 'lab', 60, True], ['R2', 'lab', 15, False]], 25],\n   [{'R0': 2, 'R1': 4, 'R2': 1}, {'lab': 8}, 8]),\n  ('normal control 8', [[['R0', 'lab', 15, True]], 30], [{'R0': 2}, {'lab': 3}, 3])],\n [('regression: grand total source 1', [[['R1', 'main', 12, True], ['R2', 'main', 40, False]], 25],\n   [{'R1': 2, 'R2': 2}, {'main': 5}, 5]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 31, False]], 25],\n   [{'R0': 2}, {'annex': 3}, 3]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, True], ['R1', 'main', 61, False]], 25],\n   [{'R0': 0, 'R1': 3}, {'lab': 0, 'main': 4}, 4]),\n  ('boundary control 4', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('normal control 5',\n   [[['R0', 'main', 30, False], ['R1', 'lab', 30, True], ['R2', 'annex', 0, False], ['R3', 'lab', 60, True]],\n    25],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 4}, {'main': 3, 'lab': 8, 'annex': 0}, 11]),\n  ('normal control 6',\n   [[['R0', 'annex', 0, False], ['R1', 'annex', 1, False], ['R2', 'main', 1, False],\n     ['R3', 'main', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 1, 'R2': 1, 'R3': 0}, {'annex': 2, 'main': 2}, 4]),\n  ('normal control 7', [[['R0', 'annex', 61, True], ['R1', 'lab', 1, True], ['R2', 'lab', 1, True]], 25],\n   [{'R0': 4, 'R1': 2, 'R2': 2}, {'annex': 5, 'lab': 5}, 10]),\n  ('normal control 8',\n   [[['R0', 'main', 31, False], ['R1', 'main', 31, False], ['R2', 'lab', 60, True],\n     ['R3', 'annex', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 4, 'R3': 3}, {'main': 5, 'lab': 5, 'annex': 4}, 14])],\n [('regression: grand total source 1', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('regression variant: grand total source 2',\n   [[['R0', 'lab', 31, False], ['R1', 'main', 60, True], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False],\n     ['R4', 'annex', 15, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 1, 'R4': 1}, {'lab': 3, 'main': 4, 'annex': 3}, 10]),\n  ('partial repair guard 3',\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  ('boundary control 4', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 30, False], ['R2', 'lab', 60, True], ['R3', 'main', 0, True]],\n    30],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 0}, {'annex': 4, 'lab': 5, 'main': 0}, 9]),\n  ('normal control 6',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 15, False], ['R2', 'annex', 31, True],\n     ['R3', 'annex', 30, True]],\n    25],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 3}, {'annex': 10, 'lab': 2}, 12]),\n  ('normal control 7',\n   [[['R0', 'lab', 15, True], ['R1', 'lab', 1, False], ['R2', 'main', 31, False], ['R3', 'main', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 2, 'R3': 3}, {'lab': 4, 'main': 6}, 10]),\n  ('normal control 8',\n   [[['R0', 'lab', 31, True], ['R1', 'lab', 60, False], ['R2', 'lab', 60, False], ['R3', 'lab', 31, False],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 3, 'R1': 3, 'R2': 3, 'R3': 2, 'R4': 2}, {'lab': 14}, 14])]]\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"},"fixed":{"sha256":"c345b029e016ad7d636a56404427b269d630a3969fa8cee03a6d977e6f9f3969","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: grand total source 1', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 0, False], ['R1', 'annex', 60, True]], 25],\n   [{'R0': 0, 'R1': 4}, {'main': 0, 'annex': 5}, 5]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False], ['R1', 'main', 31, False]], 30],\n   [{'R0': 0, 'R1': 2}, {'lab': 0, 'main': 3}, 3]),\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', 60, True], ['R1', 'main', 30, True], ['R2', 'annex', 15, False], ['R3', 'lab', 60, True],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 4, 'R1': 3, 'R2': 1, 'R3': 4, 'R4': 2}, {'main': 8, 'annex': 2, 'lab': 7}, 17]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, False], ['R2', 'lab', 15, False]], 30],\n   [{'R0': 0, 'R1': 3, 'R2': 1}, {'main': 0, 'lab': 5}, 5]),\n  ('normal control 7',\n   [[['R0', 'lab', 60, False], ['R1', 'lab', 61, False], ['R2', 'main', 0, True], ['R3', 'annex', 61, False],\n     ['R4', 'lab', 61, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 3, 'R4': 3}, {'lab': 9, 'main': 0, 'annex': 4}, 13]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 31, False]], 30], [{'R1': 2}, {'main': 3}, 3]),\n  ('regression variant: grand total source 2', [[['R0', 'main', 61, False]], 30],\n   [{'R0': 3}, {'main': 4}, 4]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, False]], 30], [{'R0': 0}, {'lab': 0}, 0]),\n  ('normal control 4',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\n  ('normal control 5', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('normal control 6',\n   [[['R0', 'lab', 30, False], ['R1', 'lab', 15, False], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 0, 'R3': 1}, {'lab': 4, 'annex': 2}, 6]),\n  ('normal control 7', [[['R0', 'annex', 60, False]], 25], [{'R0': 3}, {'annex': 4}, 4]),\n  ('normal control 8',\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 [('regression: grand total source 1', [[['R1', 'main', 0, False], ['R2', 'annex', 5, False]], 30],\n   [{'R1': 0, 'R2': 1}, {'main': 0, 'annex': 2}, 2]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 0, True], ['R1', 'lab', 30, False]], 30],\n   [{'R0': 0, 'R1': 1}, {'annex': 0, 'lab': 2}, 2]),\n  ('partial repair guard 3',\n   [[['R0', 'annex', 0, True], ['R1', 'main', 60, False], ['R2', 'main', 15, False],\n     ['R3', 'annex', 0, True]],\n    30],\n   [{'R0': 0, 'R1': 2, 'R2': 1, 'R3': 0}, {'annex': 0, 'main': 4}, 4]),\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',\n   [[['R0', 'main', 31, False], ['R1', 'main', 0, True], ['R2', 'lab', 61, False], ['R3', 'lab', 0, False],\n     ['R4', 'main', 31, False]],\n    30],\n   [{'R0': 2, 'R1': 0, 'R2': 3, 'R3': 0, 'R4': 2}, {'main': 5, 'lab': 4}, 9]),\n  ('normal control 6', [[['R0', 'main', 0, False], ['R1', 'lab', 61, True], ['R2', 'lab', 15, True]], 25],\n   [{'R0': 0, 'R1': 4, 'R2': 2}, {'main': 0, 'lab': 7}, 7]),\n  ('normal control 7', [[['R0', 'lab', 15, True], ['R1', 'lab', 60, True], ['R2', 'lab', 15, False]], 25],\n   [{'R0': 2, 'R1': 4, 'R2': 1}, {'lab': 8}, 8]),\n  ('normal control 8', [[['R0', 'lab', 15, True]], 30], [{'R0': 2}, {'lab': 3}, 3])],\n [('regression: grand total source 1', [[['R1', 'main', 12, True], ['R2', 'main', 40, False]], 25],\n   [{'R1': 2, 'R2': 2}, {'main': 5}, 5]),\n  ('regression variant: grand total source 2', [[['R0', 'annex', 31, False]], 25],\n   [{'R0': 2}, {'annex': 3}, 3]),\n  ('partial repair guard 3', [[['R0', 'lab', 0, True], ['R1', 'main', 61, False]], 25],\n   [{'R0': 0, 'R1': 3}, {'lab': 0, 'main': 4}, 4]),\n  ('boundary control 4', [[['R1', 'main', 0, True]], 30], [{'R1': 0}, {'main': 0}, 0]),\n  ('normal control 5',\n   [[['R0', 'main', 30, False], ['R1', 'lab', 30, True], ['R2', 'annex', 0, False], ['R3', 'lab', 60, True]],\n    25],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 4}, {'main': 3, 'lab': 8, 'annex': 0}, 11]),\n  ('normal control 6',\n   [[['R0', 'annex', 0, False], ['R1', 'annex', 1, False], ['R2', 'main', 1, False],\n     ['R3', 'main', 0, False]],\n    25],\n   [{'R0': 0, 'R1': 1, 'R2': 1, 'R3': 0}, {'annex': 2, 'main': 2}, 4]),\n  ('normal control 7', [[['R0', 'annex', 61, True], ['R1', 'lab', 1, True], ['R2', 'lab', 1, True]], 25],\n   [{'R0': 4, 'R1': 2, 'R2': 2}, {'annex': 5, 'lab': 5}, 10]),\n  ('normal control 8',\n   [[['R0', 'main', 31, False], ['R1', 'main', 31, False], ['R2', 'lab', 60, True],\n     ['R3', 'annex', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 2, 'R2': 4, 'R3': 3}, {'main': 5, 'lab': 5, 'annex': 4}, 14])],\n [('regression: grand total source 1', [[['R0', 'lab', 60, False], ['R1', 'lab', 25, True]], 30],\n   [{'R0': 2, 'R1': 2}, {'lab': 5}, 5]),\n  ('regression variant: grand total source 2',\n   [[['R0', 'lab', 31, False], ['R1', 'main', 60, True], ['R2', 'lab', 0, False], ['R3', 'annex', 1, False],\n     ['R4', 'annex', 15, False]],\n    30],\n   [{'R0': 2, 'R1': 3, 'R2': 0, 'R3': 1, 'R4': 1}, {'lab': 3, 'main': 4, 'annex': 3}, 10]),\n  ('partial repair guard 3',\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  ('boundary control 4', [[['R1', 'main', 30, False]], 30], [{'R1': 1}, {'main': 2}, 2]),\n  ('normal control 5',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 30, False], ['R2', 'lab', 60, True], ['R3', 'main', 0, True]],\n    30],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 0}, {'annex': 4, 'lab': 5, 'main': 0}, 9]),\n  ('normal control 6',\n   [[['R0', 'annex', 61, False], ['R1', 'lab', 15, False], ['R2', 'annex', 31, True],\n     ['R3', 'annex', 30, True]],\n    25],\n   [{'R0': 3, 'R1': 1, 'R2': 3, 'R3': 3}, {'annex': 10, 'lab': 2}, 12]),\n  ('normal control 7',\n   [[['R0', 'lab', 15, True], ['R1', 'lab', 1, False], ['R2', 'main', 31, False], ['R3', 'main', 60, False]],\n    25],\n   [{'R0': 2, 'R1': 1, 'R2': 2, 'R3': 3}, {'lab': 4, 'main': 6}, 10]),\n  ('normal control 8',\n   [[['R0', 'lab', 31, True], ['R1', 'lab', 60, False], ['R2', 'lab', 60, False], ['R3', 'lab', 31, False],\n     ['R4', 'lab', 30, False]],\n    25],\n   [{'R0': 3, 'R1': 3, 'R2': 3, 'R3': 2, 'R4': 2}, {'lab': 14}, 14])]]\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-grand-total-source","generated_at":"2026-09-29T14:52:04.695983+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.","repair":"Sum the per-venue totals, which include chiefs.","root_cause":"The grand total sums room requirements only.","sha256":"0d22e7906ea91a2cf4dc14b4494cc2b34ad5c23572992a3e0c1cdaeacdaac124","title":"Grand total omits chief invigilators · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":39.415,"exit_code":1,"observations":[{"actual":[{"R1":1},{"main":2},2],"check":"regression: grand total source 1","expected":[{"R1":1},{"main":2},2],"passed":true},{"actual":[{"R0":0,"R1":4},{"annex":5,"main":0},6],"check":"regression variant: grand total source 2","expected":[{"R0":0,"R1":4},{"annex":5,"main":0},5],"passed":false},{"actual":[{"R0":0,"R1":2},{"lab":0,"main":3},4],"check":"partial repair guard 3","expected":[{"R0":0,"R1":2},{"lab":0,"main":3},3],"passed":false},{"actual":[{"R1":0,"R2":1},{"annex":2,"main":0},3],"check":"boundary control 4","expected":[{"R1":0,"R2":1},{"annex":2,"main":0},2],"passed":false},{"actual":[{"R0":4,"R1":3,"R2":1,"R3":4,"R4":2},{"annex":2,"lab":7,"main":8},17],"check":"normal control 5","expected":[{"R0":4,"R1":3,"R2":1,"R3":4,"R4":2},{"annex":2,"lab":7,"main":8},17],"passed":true},{"actual":[{"R0":0,"R1":3,"R2":1},{"lab":5,"main":0},6],"check":"normal control 6","expected":[{"R0":0,"R1":3,"R2":1},{"lab":5,"main":0},5],"passed":false},{"actual":[{"R0":2,"R1":3,"R2":0,"R3":3,"R4":3},{"annex":4,"lab":9,"main":0},14],"check":"normal control 7","expected":[{"R0":2,"R1":3,"R2":0,"R3":3,"R4":3},{"annex":4,"lab":9,"main":0},13],"passed":false},{"actual":[{"R0":4,"R1":0,"R2":3,"R3":1},{"annex":8,"lab":2},10],"check":"normal control 8","expected":[{"R0":4,"R1":0,"R2":3,"R3":1},{"annex":8,"lab":2},10],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: grand total source 1\", \"actual\": [{\"R1\": 1}, {\"main\": 2}, 2], \"expected\": [{\"R1\": 1}, {\"main\": 2}, 2], \"passed\": true}, {\"check\": \"regression variant: grand total source 2\", \"actual\": [{\"R0\": 0, \"R1\": 4}, {\"main\": 0, \"annex\": 5}, 6], \"expected\": [{\"R0\": 0, \"R1\": 4}, {\"main\": 0, \"annex\": 5}, 5], \"passed\": false}, {\"check\": \"partial repair guard 3\", \"actual\": [{\"R0\": 0, \"R1\": 2}, {\"lab\": 0, \"main\": 3}, 4], \"expected\": [{\"R0\": 0, \"R1\": 2}, {\"lab\": 0, \"main\": 3}, 3], \"passed\": false}, {\"check\": \"boundary control 4\", \"actual\": [{\"R1\": 0, \"R2\": 1}, {\"main\": 0, \"annex\": 2}, 3], \"expected\": [{\"R1\": 0, \"R2\": 1}, {\"main\": 0, \"annex\": 2}, 2], \"passed\": false}, {\"check\": \"normal control 5\", \"actual\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 17], \"expected\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 17], \"passed\": true}, {\"check\": \"normal control 6\", \"actual\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 6], \"expected\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 5], \"passed\": false}, {\"check\": \"normal control 7\", \"actual\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 14], \"expected\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 13], \"passed\": false}, {\"check\": \"normal control 8\", \"actual\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 10], \"expected\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 10], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.564,"exit_code":1,"observations":[{"actual":[{"R1":1},{"main":2},1],"check":"regression: grand total source 1","expected":[{"R1":1},{"main":2},2],"passed":false},{"actual":[{"R0":0,"R1":4},{"annex":5,"main":0},4],"check":"regression variant: grand total source 2","expected":[{"R0":0,"R1":4},{"annex":5,"main":0},5],"passed":false},{"actual":[{"R0":0,"R1":2},{"lab":0,"main":3},2],"check":"partial repair guard 3","expected":[{"R0":0,"R1":2},{"lab":0,"main":3},3],"passed":false},{"actual":[{"R1":0,"R2":1},{"annex":2,"main":0},1],"check":"boundary control 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{\"main\": 2}, 2], \"passed\": false}, {\"check\": \"regression variant: grand total source 2\", \"actual\": [{\"R0\": 0, \"R1\": 4}, {\"main\": 0, \"annex\": 5}, 4], \"expected\": [{\"R0\": 0, \"R1\": 4}, {\"main\": 0, \"annex\": 5}, 5], \"passed\": false}, {\"check\": \"partial repair guard 3\", \"actual\": [{\"R0\": 0, \"R1\": 2}, {\"lab\": 0, \"main\": 3}, 2], \"expected\": [{\"R0\": 0, \"R1\": 2}, {\"lab\": 0, \"main\": 3}, 3], \"passed\": false}, {\"check\": \"boundary control 4\", \"actual\": [{\"R1\": 0, \"R2\": 1}, {\"main\": 0, \"annex\": 2}, 1], \"expected\": [{\"R1\": 0, \"R2\": 1}, {\"main\": 0, \"annex\": 2}, 2], \"passed\": false}, {\"check\": \"normal control 5\", \"actual\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 14], \"expected\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 17], \"passed\": false}, {\"check\": \"normal control 6\", \"actual\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 4], \"expected\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 5], \"passed\": false}, {\"check\": \"normal control 7\", \"actual\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 11], \"expected\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 13], \"passed\": false}, {\"check\": \"normal control 8\", \"actual\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 8], \"expected\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 10], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.501,"exit_code":0,"observations":[{"actual":[{"R1":1},{"main":2},2],"check":"regression: grand total source 1","expected":[{"R1":1},{"main":2},2],"passed":true},{"actual":[{"R0":0,"R1":4},{"annex":5,"main":0},5],"check":"regression variant: grand total source 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\"annex\": 2}, 2], \"expected\": [{\"R1\": 0, \"R2\": 1}, {\"main\": 0, \"annex\": 2}, 2], \"passed\": true}, {\"check\": \"normal control 5\", \"actual\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 17], \"expected\": [{\"R0\": 4, \"R1\": 3, \"R2\": 1, \"R3\": 4, \"R4\": 2}, {\"main\": 8, \"annex\": 2, \"lab\": 7}, 17], \"passed\": true}, {\"check\": \"normal control 6\", \"actual\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 5], \"expected\": [{\"R0\": 0, \"R1\": 3, \"R2\": 1}, {\"main\": 0, \"lab\": 5}, 5], \"passed\": true}, {\"check\": \"normal control 7\", \"actual\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 13], \"expected\": [{\"R0\": 2, \"R1\": 3, \"R2\": 0, \"R3\": 3, \"R4\": 3}, {\"lab\": 9, \"main\": 0, \"annex\": 4}, 13], \"passed\": true}, {\"check\": \"normal control 8\", \"actual\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 10], \"expected\": [{\"R0\": 4, \"R1\": 0, \"R2\": 3, \"R3\": 1}, {\"annex\": 8, \"lab\": 2}, 10], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}