{"abstract":"Patients at the same priority are ordered alphabetically instead of by arrival.","category":"Clinical triage scoring","checks":8,"contract":"Input {now, patients [{id, level, arrival, retriage (or null)}]}. Effective level = retriage when present (up or down), else level. Target waits: 1:0, 2:10, 3:30, 4:60, 5:120 minutes. A patient whose wait strictly exceeds the target of the effective level is overdue and moves up one priority (never above 1). Order by (priority, arrival, id). Return {order, overdue (sorted ids)}.","contract_signature":"x","evaluation_group":"w2-triage-waiting-queue","failed_approach":"Inserting the unescalated level before arrival puts escalated patients behind native ones.","family":"w2-triage-waiting-queue-queue-tie-break-key","id":"FA-64561","implementations":{"attempt":{"sha256":"4d6528e8b322773154dc7acb149cd10a24a625dcd06f2aff1712d34f7539e010","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    target = {1: 0, 2: 10, 3: 30, 4: 60, 5: 120}\n    rows, overdue = [], []\n    for p in x['patients']:\n        lvl = p['retriage'] if p['retriage'] is not None else p['level']\n        wait = x['now'] - p['arrival']\n        pr = lvl\n        if wait > target[lvl]:\n            overdue.append(p['id'])\n            pr = max(1, lvl - 1)\n        rows.append((pr, lvl, p['arrival'], p['id']))\n    rows.sort()\n    return {'order': [r[2] for r in rows], 'overdue': sorted(overdue)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 91, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 81, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 79, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 93, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 98, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 91, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 194, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b1', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a1', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 11, 'retriage': None}]},\n   {'order': ['c', 'a1', 'b1'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 92, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 82, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 78, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 94, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 97, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 92, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 193, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b2', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a2', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 12, 'retriage': None}]},\n   {'order': ['c', 'a2', 'b2'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 93, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 83, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 77, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 96, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 93, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 192, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b3', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a3', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 13, 'retriage': None}]},\n   {'order': ['c', 'a3', 'b3'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 94, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 84, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 76, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 96, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 95, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 94, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 191, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b4', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a4', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 14, 'retriage': None}]},\n   {'order': ['c', 'a4', 'b4'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 85, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 75, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 97, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 94, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 95, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 190, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b5', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a5', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 15, 'retriage': None}]},\n   {'order': ['c', 'a5', 'b5'], 'overdue': []})]]\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":"59e0fd4f6f3829ed6ccdd1f1dbd843edb8c43876506e3cd4f0806a38095ec8d0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    target = {1: 0, 2: 10, 3: 30, 4: 60, 5: 120}\n    rows, overdue = [], []\n    for p in x['patients']:\n        lvl = p['retriage'] if p['retriage'] is not None else p['level']\n        wait = x['now'] - p['arrival']\n        pr = lvl\n        if wait > target[lvl]:\n            overdue.append(p['id'])\n            pr = max(1, lvl - 1)\n        rows.append((pr, p['id'], p['arrival']))\n    rows.sort()\n    return {'order': [r[2] for r in rows], 'overdue': sorted(overdue)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 91, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 81, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 79, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 93, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 98, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 91, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 194, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b1', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a1', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 11, 'retriage': None}]},\n   {'order': ['c', 'a1', 'b1'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 92, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 82, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 78, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 94, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 97, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 92, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 193, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b2', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a2', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 12, 'retriage': None}]},\n   {'order': ['c', 'a2', 'b2'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 93, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 83, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 77, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 96, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 93, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 192, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b3', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a3', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 13, 'retriage': None}]},\n   {'order': ['c', 'a3', 'b3'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 94, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 84, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 76, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 96, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 95, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 94, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 191, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b4', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a4', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 14, 'retriage': None}]},\n   {'order': ['c', 'a4', 'b4'], 'overdue': []})],\n [('downgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 95, 'retriage': 4},\n                 {'id': 'b', 'level': 3, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('upgraded on re-triage',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 4, 'arrival': 90, 'retriage': 2},\n                 {'id': 'b', 'level': 3, 'arrival': 85, 'retriage': None}]},\n   {'order': ['a', 'b'], 'overdue': []}),\n  ('downgraded patient overdue by new target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 2, 'arrival': 75, 'retriage': 3},\n                 {'id': 'b', 'level': 2, 'arrival': 95, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': []}),\n  ('wait exactly at target',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 3, 'arrival': 70, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 97, 'retriage': None},\n                 {'id': 'c', 'level': 1, 'arrival': 100, 'retriage': None}]},\n   {'order': ['c', 'b', 'a'], 'overdue': []}),\n  ('level one waiting',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 94, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 50, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated level two ties with level one',\n   {'now': 100,\n    'patients': [{'id': 'a', 'level': 1, 'arrival': 95, 'retriage': None},\n                 {'id': 'b', 'level': 2, 'arrival': 80, 'retriage': None}]},\n   {'order': ['b', 'a'], 'overdue': ['a', 'b']}),\n  ('escalated three ties with native two',\n   {'now': 200,\n    'patients': [{'id': 'x', 'level': 2, 'arrival': 190, 'retriage': None},\n                 {'id': 'y', 'level': 3, 'arrival': 150, 'retriage': None}]},\n   {'order': ['y', 'x'], 'overdue': ['y']}),\n  ('same arrival id tie-break',\n   {'now': 60,\n    'patients': [{'id': 'b5', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'a5', 'level': 4, 'arrival': 30, 'retriage': None},\n                 {'id': 'c', 'level': 4, 'arrival': 15, 'retriage': None}]},\n   {'order': ['c', 'a5', 'b5'], 'overdue': []})]]\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":"A deterministic toy software model with explicitly stipulated thresholds and formulas; it is not clinical guidance, not a validated medical calculator, and makes no claim of conformance to any published protocol. Numbered variants vary patient and order inputs. 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-triage-waiting-queue-queue-tie-break-key","generated_at":"2026-09-29T14:47:25.593154+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Queue ordering with re-triage and time escalation mixes several keys; the chosen level, comparison and tie-break are separate faults.","root_cause":"The sort key places id before arrival time.","sha256":"9f6bd929bccadb0dd3b9b971cde31e88d7477546d960883ff21c0717feb06281","title":"Waiting room queue ordering with overdue escalation: queue tie-break key · 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":40.324,"exit_code":1,"observations":[{"actual":{"order":[91,95],"overdue":[]},"check":"downgraded on re-triage","expected":{"order":["b","a"],"overdue":[]},"passed":false},{"actual":{"order":[90,81],"overdue":[]},"check":"upgraded on re-triage","expected":{"order":["a","b"],"overdue":[]},"passed":false},{"actual":{"order":[95,79],"overdue":[]},"check":"downgraded patient overdue by new target","expected":{"order":["b","a"],"overdue":[]},"passed":false},{"actual":{"order":[100,93,70],"overdue":[]},"check":"wait exactly at target","expected":{"order":["c","b","a"],"overdue":[]},"passed":false},{"actual":{"order":[98,50],"overdue":["a","b"]},"check":"level one waiting","expected":{"order":["b","a"],"overdue":["a","b"]},"passed":false},{"actual":{"order":[91,80],"overdue":["a","b"]},"check":"escalated level two ties with level one","expected":{"order":["b","a"],"overdue":["a","b"]},"passed":false},{"actual":{"order":[194,150],"overdue":["y"]},"check":"escalated three ties with native two","expected":{"order":["y","x"],"overdue":["y"]},"passed":false},{"actual":{"order":[11,30,30],"overdue":[]},"check":"same arrival id tie-break","expected":{"order":["c","a1","b1"],"overdue":[]},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"downgraded on re-triage\", \"actual\": {\"order\": [91, 95], \"overdue\": []}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"upgraded on re-triage\", \"actual\": {\"order\": [90, 81], \"overdue\": []}, \"expected\": {\"order\": [\"a\", \"b\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"downgraded patient overdue by new target\", \"actual\": {\"order\": [95, 79], \"overdue\": []}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"wait exactly at target\", \"actual\": {\"order\": [100, 93, 70], \"overdue\": []}, \"expected\": {\"order\": [\"c\", \"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"level one waiting\", \"actual\": {\"order\": [98, 50], \"overdue\": [\"a\", \"b\"]}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": [\"a\", \"b\"]}, \"passed\": false}, {\"check\": \"escalated level two ties with level one\", \"actual\": {\"order\": [91, 80], \"overdue\": [\"a\", \"b\"]}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": [\"a\", \"b\"]}, \"passed\": false}, {\"check\": \"escalated three ties with native two\", \"actual\": {\"order\": [194, 150], \"overdue\": [\"y\"]}, \"expected\": {\"order\": [\"y\", \"x\"], \"overdue\": [\"y\"]}, \"passed\": false}, {\"check\": \"same arrival id tie-break\", \"actual\": {\"order\": [11, 30, 30], \"overdue\": []}, \"expected\": {\"order\": [\"c\", \"a1\", \"b1\"], \"overdue\": []}, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.141,"exit_code":1,"observations":[{"actual":{"order":[91,95],"overdue":[]},"check":"downgraded on re-triage","expected":{"order":["b","a"],"overdue":[]},"passed":false},{"actual":{"order":[90,81],"overdue":[]},"check":"upgraded on re-triage","expected":{"order":["a","b"],"overdue":[]},"passed":false},{"actual":{"order":[95,79],"overdue":[]},"check":"downgraded patient overdue by new target","expected":{"order":["b","a"],"overdue":[]},"passed":false},{"actual":{"order":[100,93,70],"overdue":[]},"check":"wait exactly at target","expected":{"order":["c","b","a"],"overdue":[]},"passed":false},{"actual":{"order":[98,50],"overdue":["a","b"]},"check":"level one waiting","expected":{"order":["b","a"],"overdue":["a","b"]},"passed":false},{"actual":{"order":[91,80],"overdue":["a","b"]},"check":"escalated level two ties with level one","expected":{"order":["b","a"],"overdue":["a","b"]},"passed":false},{"actual":{"order":[194,150],"overdue":["y"]},"check":"escalated three ties with native two","expected":{"order":["y","x"],"overdue":["y"]},"passed":false},{"actual":{"order":[30,30,11],"overdue":[]},"check":"same arrival id tie-break","expected":{"order":["c","a1","b1"],"overdue":[]},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"downgraded on re-triage\", \"actual\": {\"order\": [91, 95], \"overdue\": []}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"upgraded on re-triage\", \"actual\": {\"order\": [90, 81], \"overdue\": []}, \"expected\": {\"order\": [\"a\", \"b\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"downgraded patient overdue by new target\", \"actual\": {\"order\": [95, 79], \"overdue\": []}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"wait exactly at target\", \"actual\": {\"order\": [100, 93, 70], \"overdue\": []}, \"expected\": {\"order\": [\"c\", \"b\", \"a\"], \"overdue\": []}, \"passed\": false}, {\"check\": \"level one waiting\", \"actual\": {\"order\": [98, 50], \"overdue\": [\"a\", \"b\"]}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": [\"a\", \"b\"]}, \"passed\": false}, {\"check\": \"escalated level two ties with level one\", \"actual\": {\"order\": [91, 80], \"overdue\": [\"a\", \"b\"]}, \"expected\": {\"order\": [\"b\", \"a\"], \"overdue\": [\"a\", \"b\"]}, \"passed\": false}, {\"check\": \"escalated three ties with native two\", \"actual\": {\"order\": [194, 150], \"overdue\": [\"y\"]}, \"expected\": {\"order\": [\"y\", \"x\"], \"overdue\": [\"y\"]}, \"passed\": false}, {\"check\": \"same arrival id tie-break\", \"actual\": {\"order\": [30, 30, 11], \"overdue\": []}, \"expected\": {\"order\": [\"c\", \"a1\", \"b1\"], \"overdue\": []}, \"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."}}