{"abstract":"Required allowance is a few cents short.","category":"Double-entry ledger accounting","checks":7,"contract":"x = {'as_of': day, 'invoices': [[id, due_day, open cents]], 'rates': [[max_days_past_due or None, basis points]] ascending, 'allowance': existing credit balance (negative = debit balance), 'writeoffs': ids}. Written-off invoices leave receivables and reduce the allowance by their amount. Days past due = max(0, as_of - due); an invoice goes in the first bucket whose limit is None or >= days. Required allowance = sum over buckets of bucket total * bp / 10000 rounded half-up per bucket. Return {'buckets', 'required', 'adjustment': required - allowance after write-offs, 'net_ar'}.","evaluation_group":"w2-double-entry-ledger-accounting-aging-allowance","failed_approach":"Rounding any fraction up over-reserves buckets below the half-cent mark.","family":"w2-double-entry-ledger-accounting-aging-allowance-per-bucket-rounding","id":"FA-58136","implementations":{"attempt":{"sha256":"7203d112c2e432bc88b773452989d95490b0daba1b1666efacfd85b3525ef726","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    wo = set(x['writeoffs'])\n    allowance = x['allowance']\n    buckets = [0] * len(x['rates'])\n    for iid, due, amt in x['invoices']:\n        if iid in wo:\n            allowance -= amt\n            continue\n        past = max(0, x['as_of'] - due)\n        for k, (limit, bp) in enumerate(x['rates']):\n            if limit is None or past <= limit:\n                buckets[k] += amt\n                break\n    required = 0\n    for total, (limit, bp) in zip(buckets, x['rates']):\n        q, r = divmod(total * bp, 10000)\n        required += q + (1 if r else 0)\n    ar = sum(buckets)\n    return {'buckets': buckets, 'required': required, 'adjustment': required - allowance, 'net_ar': ar - required}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', -100, 5], ['I1', 39, 333], ['I2', 9, 2500], ['I3', -100, 4000], ['I4', 69, 150], ['I5', 70, 2500], ['I6', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [0, 0, 150, 333, 6505], 'required': 5035, 'adjustment': 11535, 'net_ar': 1953}], ['control 1', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 110, 150], ['I2', 100, 4000], ['I3', 40, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [4150, 0, 8000], 'required': 4083, 'adjustment': 4083, 'net_ar': 8067}], ['control 2', {'as_of': 100, 'invoices': [['I0', 70, 1000], ['I1', 99, 5], ['I2', 99, 5], ['I3', 110, 5], ['I4', -100, 333], ['I5', -100, 1000], ['I6', 54, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I1', 'I4']}, {'buckets': [5, 5, 4000, 0, 1000], 'required': 1350, 'adjustment': 2838, 'net_ar': 3660}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 110, 2500], ['I2', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 4000, 1000, 0], 'required': 1000, 'adjustment': 3300, 'net_ar': 4000}], ['control 4', {'as_of': 100, 'invoices': [['I0', 40, 2500], ['I1', 99, 4000], ['I2', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 4000, 3500], 'required': 2250, 'adjustment': 2250, 'net_ar': 5250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 55, 2500], ['I1', 71, 1000], ['I2', 10, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 2500, 4000, 0], 'required': 1975, 'adjustment': 2975, 'net_ar': 4525}], ['control 6', {'as_of': 100, 'invoices': [['I0', 55, 4000], ['I1', 54, 333], ['I2', 40, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 6500, 0, 0], 'required': 975, 'adjustment': 1308, 'net_ar': 5525}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 99, 2500], ['I1', 69, 1000], ['I2', 55, 333], ['I3', 39, 1000], ['I4', 39, 333], ['I5', 40, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I4', 'I5']}, {'buckets': [0, 2500, 333, 1000, 0], 'required': 575, 'adjustment': 5708, 'net_ar': 3258}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 2500], ['I1', 55, 5], ['I2', 10, 1000], ['I3', 71, 333], ['I4', 71, 1000], ['I5', 100, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 1338, 2500], 'required': 1417, 'adjustment': 2572, 'net_ar': 2421}], ['control 1', {'as_of': 100, 'invoices': [['I0', -100, 150], ['I1', 40, 1000], ['I2', 40, 5], ['I3', 39, 1000], ['I4', 9, 150], ['I5', 10, 1000], ['I6', 10, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 0, 2450], 'required': 1225, 'adjustment': 2030, 'net_ar': 1225}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 69, 333], ['I2', 55, 150], ['I3', 70, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 633, 1000], 'required': 579, 'adjustment': 379, 'net_ar': 1054}], ['control 3', {'as_of': 100, 'invoices': [['I0', 55, 333], ['I1', 10, 150], ['I2', 99, 1000], ['I3', 54, 5], ['I4', 69, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I0']}, {'buckets': [0, 1000, 155, 150, 0], 'required': 133, 'adjustment': 266, 'net_ar': 1172}], ['control 4', {'as_of': 100, 'invoices': [['I0', 9, 1000], ['I1', 55, 2500], ['I2', 110, 2500], ['I3', 70, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': []}, {'buckets': [2500, 2500, 2500, 0, 1000], 'required': 1275, 'adjustment': 1425, 'net_ar': 7225}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 333], ['I1', 110, 5], ['I2', -100, 1000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I2']}, {'buckets': [0, 0, 0, 333, 0], 'required': 133, 'adjustment': 938, 'net_ar': 200}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 54, 150], ['I1', 71, 4000], ['I2', 70, 2500], ['I3', 110, 150], ['I4', 99, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': ['I3']}, {'buckets': [0, 6505, 150, 0, 0], 'required': 348, 'adjustment': -2, 'net_ar': 6307}], ['control 1', {'as_of': 100, 'invoices': [['I0', 69, 4000], ['I1', 110, 4000], ['I2', 55, 1000], ['I3', 100, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 0, 5000, 0, 0], 'required': 790, 'adjustment': 4790, 'net_ar': 8210}], ['control 2', {'as_of': 100, 'invoices': [['I0', 100, 4000], ['I1', 69, 1000], ['I2', 55, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [4000, 5000, 0], 'required': 705, 'adjustment': 505, 'net_ar': 8295}], ['control 3', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 54, 1000], ['I2', 70, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 4005, 1000, 0, 0], 'required': 350, 'adjustment': 150, 'net_ar': 4655}], ['control 4', {'as_of': 100, 'invoices': [['I0', 110, 5], ['I1', 10, 5], ['I2', 100, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I2']}, {'buckets': [0, 0, 0, 5, 0], 'required': 2, 'adjustment': 2657, 'net_ar': 3}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 10, 150], ['I2', 39, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 0, 5000, 0], 'required': 2000, 'adjustment': 1950, 'net_ar': 3000}], ['control 6', {'as_of': 100, 'invoices': [['I0', 70, 5], ['I1', 100, 4000], ['I2', 99, 5], ['I3', 54, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I3']}, {'buckets': [4000, 5, 0, 0, 0], 'required': 40, 'adjustment': 50, 'net_ar': 3965}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 110, 150], ['I1', 10, 1000], ['I2', 70, 150], ['I3', 99, 1000], ['I4', 100, 2500], ['I5', 55, 333], ['I6', 54, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [2650, 1150, 0, 1000, 0], 'required': 485, 'adjustment': 968, 'net_ar': 4315}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 100, 5], ['I2', 70, 150], ['I3', 110, 150], ['I4', 100, 2500], ['I5', -100, 333], ['I6', 100, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': []}, {'buckets': [2805, 150, 1000, 0, 333], 'required': 436, 'adjustment': 436, 'net_ar': 3852}], ['control 1', {'as_of': 100, 'invoices': [['I0', 110, 2500], ['I1', 69, 150], ['I2', 54, 2500], ['I3', 10, 333]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [2500, 0, 2500, 333, 0], 'required': 533, 'adjustment': 483, 'net_ar': 4800}], ['control 2', {'as_of': 100, 'invoices': [['I0', 69, 2500], ['I1', 69, 150], ['I2', 55, 5], ['I3', 71, 1000], ['I4', 55, 4000], ['I5', -100, 2500], ['I6', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': []}, {'buckets': [0, 1000, 10655, 0, 2500], 'required': 3523, 'adjustment': 3023, 'net_ar': 10632}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 9, 1000], ['I2', -100, 2500], ['I3', -100, 150], ['I4', 70, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I0']}, {'buckets': [0, 4000, 3650], 'required': 2325, 'adjustment': 6325, 'net_ar': 5325}], ['control 4', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 54, 4000], ['I2', 55, 4000], ['I3', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': []}, {'buckets': [0, 4000, 7500], 'required': 4250, 'adjustment': 4400, 'net_ar': 7250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 333], ['I1', 39, 1000], ['I2', 100, 150], ['I3', 54, 4000], ['I4', -100, 5], ['I5', 71, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [150, 0, 5338], 'required': 2672, 'adjustment': 2822, 'net_ar': 2816}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 70, 2500], ['I2', 100, 4000], ['I3', 71, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 4005, 0], 'required': 581, 'adjustment': 3081, 'net_ar': 7424}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', -100, 4000], ['I1', 9, 4000], ['I2', 110, 1000], ['I3', 100, 333], ['I4', 9, 5], ['I5', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I5']}, {'buckets': [1333, 0, 0, 0, 8005], 'required': 6017, 'adjustment': 6317, 'net_ar': 3321}], ['control 1', {'as_of': 100, 'invoices': [['I0', 39, 5], ['I1', 99, 4000], ['I2', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1']}, {'buckets': [0, 0, 4000, 0, 0], 'required': 600, 'adjustment': 4605, 'net_ar': 3400}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 5], ['I1', 40, 5], ['I2', 99, 333], ['I3', 71, 150], ['I4', 54, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 483, 4010], 'required': 2065, 'adjustment': 2065, 'net_ar': 2428}], ['control 3', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 39, 4000], ['I2', 55, 1000], ['I3', 40, 4000], ['I4', 40, 4000], ['I5', 54, 2500], ['I6', 99, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [0, 4000, 9000, 4000, 2500], 'required': 5025, 'adjustment': 7525, 'net_ar': 14475}], ['control 4', {'as_of': 100, 'invoices': [['I0', 55, 5], ['I1', 100, 150], ['I2', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1', 'I2']}, {'buckets': [0, 0, 0, 0, 0], 'required': 0, 'adjustment': 305, 'net_ar': 0}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 2500], ['I1', 39, 150], ['I2', 10, 4000], ['I3', 9, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 0, 0, 6650, 2500], 'required': 4535, 'adjustment': 4335, 'net_ar': 4615}]]]\nfor label, args, expected in fixtures[N-1]:\n    try:\n        actual = solve(args)\n    except Exception as exc:\n        actual = 'raised ' + type(exc).__name__\n    check(label, actual, 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":"9ff7b80e79d73f89d460d8c22462e986c4d328a39ee5ea1b1353eed101985ee7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    wo = set(x['writeoffs'])\n    allowance = x['allowance']\n    buckets = [0] * len(x['rates'])\n    for iid, due, amt in x['invoices']:\n        if iid in wo:\n            allowance -= amt\n            continue\n        past = max(0, x['as_of'] - due)\n        for k, (limit, bp) in enumerate(x['rates']):\n            if limit is None or past <= limit:\n                buckets[k] += amt\n                break\n    required = 0\n    for total, (limit, bp) in zip(buckets, x['rates']):\n        q, r = divmod(total * bp, 10000)\n        required += q\n    ar = sum(buckets)\n    return {'buckets': buckets, 'required': required, 'adjustment': required - allowance, 'net_ar': ar - required}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', -100, 5], ['I1', 39, 333], ['I2', 9, 2500], ['I3', -100, 4000], ['I4', 69, 150], ['I5', 70, 2500], ['I6', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [0, 0, 150, 333, 6505], 'required': 5035, 'adjustment': 11535, 'net_ar': 1953}], ['control 1', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 110, 150], ['I2', 100, 4000], ['I3', 40, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [4150, 0, 8000], 'required': 4083, 'adjustment': 4083, 'net_ar': 8067}], ['control 2', {'as_of': 100, 'invoices': [['I0', 70, 1000], ['I1', 99, 5], ['I2', 99, 5], ['I3', 110, 5], ['I4', -100, 333], ['I5', -100, 1000], ['I6', 54, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I1', 'I4']}, {'buckets': [5, 5, 4000, 0, 1000], 'required': 1350, 'adjustment': 2838, 'net_ar': 3660}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 110, 2500], ['I2', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 4000, 1000, 0], 'required': 1000, 'adjustment': 3300, 'net_ar': 4000}], ['control 4', {'as_of': 100, 'invoices': [['I0', 40, 2500], ['I1', 99, 4000], ['I2', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 4000, 3500], 'required': 2250, 'adjustment': 2250, 'net_ar': 5250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 55, 2500], ['I1', 71, 1000], ['I2', 10, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 2500, 4000, 0], 'required': 1975, 'adjustment': 2975, 'net_ar': 4525}], ['control 6', {'as_of': 100, 'invoices': [['I0', 55, 4000], ['I1', 54, 333], ['I2', 40, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 6500, 0, 0], 'required': 975, 'adjustment': 1308, 'net_ar': 5525}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 99, 2500], ['I1', 69, 1000], ['I2', 55, 333], ['I3', 39, 1000], ['I4', 39, 333], ['I5', 40, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I4', 'I5']}, {'buckets': [0, 2500, 333, 1000, 0], 'required': 575, 'adjustment': 5708, 'net_ar': 3258}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 2500], ['I1', 55, 5], ['I2', 10, 1000], ['I3', 71, 333], ['I4', 71, 1000], ['I5', 100, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 1338, 2500], 'required': 1417, 'adjustment': 2572, 'net_ar': 2421}], ['control 1', {'as_of': 100, 'invoices': [['I0', -100, 150], ['I1', 40, 1000], ['I2', 40, 5], ['I3', 39, 1000], ['I4', 9, 150], ['I5', 10, 1000], ['I6', 10, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 0, 2450], 'required': 1225, 'adjustment': 2030, 'net_ar': 1225}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 69, 333], ['I2', 55, 150], ['I3', 70, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 633, 1000], 'required': 579, 'adjustment': 379, 'net_ar': 1054}], ['control 3', {'as_of': 100, 'invoices': [['I0', 55, 333], ['I1', 10, 150], ['I2', 99, 1000], ['I3', 54, 5], ['I4', 69, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I0']}, {'buckets': [0, 1000, 155, 150, 0], 'required': 133, 'adjustment': 266, 'net_ar': 1172}], ['control 4', {'as_of': 100, 'invoices': [['I0', 9, 1000], ['I1', 55, 2500], ['I2', 110, 2500], ['I3', 70, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': []}, {'buckets': [2500, 2500, 2500, 0, 1000], 'required': 1275, 'adjustment': 1425, 'net_ar': 7225}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 333], ['I1', 110, 5], ['I2', -100, 1000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I2']}, {'buckets': [0, 0, 0, 333, 0], 'required': 133, 'adjustment': 938, 'net_ar': 200}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 54, 150], ['I1', 71, 4000], ['I2', 70, 2500], ['I3', 110, 150], ['I4', 99, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': ['I3']}, {'buckets': [0, 6505, 150, 0, 0], 'required': 348, 'adjustment': -2, 'net_ar': 6307}], ['control 1', {'as_of': 100, 'invoices': [['I0', 69, 4000], ['I1', 110, 4000], ['I2', 55, 1000], ['I3', 100, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 0, 5000, 0, 0], 'required': 790, 'adjustment': 4790, 'net_ar': 8210}], ['control 2', {'as_of': 100, 'invoices': [['I0', 100, 4000], ['I1', 69, 1000], ['I2', 55, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [4000, 5000, 0], 'required': 705, 'adjustment': 505, 'net_ar': 8295}], ['control 3', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 54, 1000], ['I2', 70, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 4005, 1000, 0, 0], 'required': 350, 'adjustment': 150, 'net_ar': 4655}], ['control 4', {'as_of': 100, 'invoices': [['I0', 110, 5], ['I1', 10, 5], ['I2', 100, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I2']}, {'buckets': [0, 0, 0, 5, 0], 'required': 2, 'adjustment': 2657, 'net_ar': 3}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 10, 150], ['I2', 39, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 0, 5000, 0], 'required': 2000, 'adjustment': 1950, 'net_ar': 3000}], ['control 6', {'as_of': 100, 'invoices': [['I0', 70, 5], ['I1', 100, 4000], ['I2', 99, 5], ['I3', 54, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I3']}, {'buckets': [4000, 5, 0, 0, 0], 'required': 40, 'adjustment': 50, 'net_ar': 3965}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 110, 150], ['I1', 10, 1000], ['I2', 70, 150], ['I3', 99, 1000], ['I4', 100, 2500], ['I5', 55, 333], ['I6', 54, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [2650, 1150, 0, 1000, 0], 'required': 485, 'adjustment': 968, 'net_ar': 4315}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 100, 5], ['I2', 70, 150], ['I3', 110, 150], ['I4', 100, 2500], ['I5', -100, 333], ['I6', 100, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': []}, {'buckets': [2805, 150, 1000, 0, 333], 'required': 436, 'adjustment': 436, 'net_ar': 3852}], ['control 1', {'as_of': 100, 'invoices': [['I0', 110, 2500], ['I1', 69, 150], ['I2', 54, 2500], ['I3', 10, 333]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [2500, 0, 2500, 333, 0], 'required': 533, 'adjustment': 483, 'net_ar': 4800}], ['control 2', {'as_of': 100, 'invoices': [['I0', 69, 2500], ['I1', 69, 150], ['I2', 55, 5], ['I3', 71, 1000], ['I4', 55, 4000], ['I5', -100, 2500], ['I6', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': []}, {'buckets': [0, 1000, 10655, 0, 2500], 'required': 3523, 'adjustment': 3023, 'net_ar': 10632}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 9, 1000], ['I2', -100, 2500], ['I3', -100, 150], ['I4', 70, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I0']}, {'buckets': [0, 4000, 3650], 'required': 2325, 'adjustment': 6325, 'net_ar': 5325}], ['control 4', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 54, 4000], ['I2', 55, 4000], ['I3', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': []}, {'buckets': [0, 4000, 7500], 'required': 4250, 'adjustment': 4400, 'net_ar': 7250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 333], ['I1', 39, 1000], ['I2', 100, 150], ['I3', 54, 4000], ['I4', -100, 5], ['I5', 71, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [150, 0, 5338], 'required': 2672, 'adjustment': 2822, 'net_ar': 2816}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 70, 2500], ['I2', 100, 4000], ['I3', 71, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 4005, 0], 'required': 581, 'adjustment': 3081, 'net_ar': 7424}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', -100, 4000], ['I1', 9, 4000], ['I2', 110, 1000], ['I3', 100, 333], ['I4', 9, 5], ['I5', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I5']}, {'buckets': [1333, 0, 0, 0, 8005], 'required': 6017, 'adjustment': 6317, 'net_ar': 3321}], ['control 1', {'as_of': 100, 'invoices': [['I0', 39, 5], ['I1', 99, 4000], ['I2', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1']}, {'buckets': [0, 0, 4000, 0, 0], 'required': 600, 'adjustment': 4605, 'net_ar': 3400}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 5], ['I1', 40, 5], ['I2', 99, 333], ['I3', 71, 150], ['I4', 54, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 483, 4010], 'required': 2065, 'adjustment': 2065, 'net_ar': 2428}], ['control 3', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 39, 4000], ['I2', 55, 1000], ['I3', 40, 4000], ['I4', 40, 4000], ['I5', 54, 2500], ['I6', 99, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [0, 4000, 9000, 4000, 2500], 'required': 5025, 'adjustment': 7525, 'net_ar': 14475}], ['control 4', {'as_of': 100, 'invoices': [['I0', 55, 5], ['I1', 100, 150], ['I2', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1', 'I2']}, {'buckets': [0, 0, 0, 0, 0], 'required': 0, 'adjustment': 305, 'net_ar': 0}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 2500], ['I1', 39, 150], ['I2', 10, 4000], ['I3', 9, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 0, 0, 6650, 2500], 'required': 4535, 'adjustment': 4335, 'net_ar': 4615}]]]\nfor label, args, expected in fixtures[N-1]:\n    try:\n        actual = solve(args)\n    except Exception as exc:\n        actual = 'raised ' + type(exc).__name__\n    check(label, actual, 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":"52eb053f91eef86cd2528bfde1af7372ad374105a66e69d1a15187a64b1a40a1","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    wo = set(x['writeoffs'])\n    allowance = x['allowance']\n    buckets = [0] * len(x['rates'])\n    for iid, due, amt in x['invoices']:\n        if iid in wo:\n            allowance -= amt\n            continue\n        past = max(0, x['as_of'] - due)\n        for k, (limit, bp) in enumerate(x['rates']):\n            if limit is None or past <= limit:\n                buckets[k] += amt\n                break\n    required = 0\n    for total, (limit, bp) in zip(buckets, x['rates']):\n        q, r = divmod(total * bp, 10000)\n        required += q + (1 if 2 * r >= 10000 else 0)\n    ar = sum(buckets)\n    return {'buckets': buckets, 'required': required, 'adjustment': required - allowance, 'net_ar': ar - required}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', -100, 5], ['I1', 39, 333], ['I2', 9, 2500], ['I3', -100, 4000], ['I4', 69, 150], ['I5', 70, 2500], ['I6', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [0, 0, 150, 333, 6505], 'required': 5035, 'adjustment': 11535, 'net_ar': 1953}], ['control 1', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 110, 150], ['I2', 100, 4000], ['I3', 40, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [4150, 0, 8000], 'required': 4083, 'adjustment': 4083, 'net_ar': 8067}], ['control 2', {'as_of': 100, 'invoices': [['I0', 70, 1000], ['I1', 99, 5], ['I2', 99, 5], ['I3', 110, 5], ['I4', -100, 333], ['I5', -100, 1000], ['I6', 54, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I1', 'I4']}, {'buckets': [5, 5, 4000, 0, 1000], 'required': 1350, 'adjustment': 2838, 'net_ar': 3660}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 110, 2500], ['I2', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 4000, 1000, 0], 'required': 1000, 'adjustment': 3300, 'net_ar': 4000}], ['control 4', {'as_of': 100, 'invoices': [['I0', 40, 2500], ['I1', 99, 4000], ['I2', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 4000, 3500], 'required': 2250, 'adjustment': 2250, 'net_ar': 5250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 55, 2500], ['I1', 71, 1000], ['I2', 10, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 2500, 4000, 0], 'required': 1975, 'adjustment': 2975, 'net_ar': 4525}], ['control 6', {'as_of': 100, 'invoices': [['I0', 55, 4000], ['I1', 54, 333], ['I2', 40, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [0, 0, 6500, 0, 0], 'required': 975, 'adjustment': 1308, 'net_ar': 5525}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 99, 2500], ['I1', 69, 1000], ['I2', 55, 333], ['I3', 39, 1000], ['I4', 39, 333], ['I5', 40, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I4', 'I5']}, {'buckets': [0, 2500, 333, 1000, 0], 'required': 575, 'adjustment': 5708, 'net_ar': 3258}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 2500], ['I1', 55, 5], ['I2', 10, 1000], ['I3', 71, 333], ['I4', 71, 1000], ['I5', 100, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 1338, 2500], 'required': 1417, 'adjustment': 2572, 'net_ar': 2421}], ['control 1', {'as_of': 100, 'invoices': [['I0', -100, 150], ['I1', 40, 1000], ['I2', 40, 5], ['I3', 39, 1000], ['I4', 9, 150], ['I5', 10, 1000], ['I6', 10, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': ['I2', 'I5']}, {'buckets': [0, 0, 2450], 'required': 1225, 'adjustment': 2030, 'net_ar': 1225}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 69, 333], ['I2', 55, 150], ['I3', 70, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 633, 1000], 'required': 579, 'adjustment': 379, 'net_ar': 1054}], ['control 3', {'as_of': 100, 'invoices': [['I0', 55, 333], ['I1', 10, 150], ['I2', 99, 1000], ['I3', 54, 5], ['I4', 69, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I0']}, {'buckets': [0, 1000, 155, 150, 0], 'required': 133, 'adjustment': 266, 'net_ar': 1172}], ['control 4', {'as_of': 100, 'invoices': [['I0', 9, 1000], ['I1', 55, 2500], ['I2', 110, 2500], ['I3', 70, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': []}, {'buckets': [2500, 2500, 2500, 0, 1000], 'required': 1275, 'adjustment': 1425, 'net_ar': 7225}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 333], ['I1', 110, 5], ['I2', -100, 1000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1', 'I2']}, {'buckets': [0, 0, 0, 333, 0], 'required': 133, 'adjustment': 938, 'net_ar': 200}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 54, 150], ['I1', 71, 4000], ['I2', 70, 2500], ['I3', 110, 150], ['I4', 99, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': ['I3']}, {'buckets': [0, 6505, 150, 0, 0], 'required': 348, 'adjustment': -2, 'net_ar': 6307}], ['control 1', {'as_of': 100, 'invoices': [['I0', 69, 4000], ['I1', 110, 4000], ['I2', 55, 1000], ['I3', 100, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 0, 5000, 0, 0], 'required': 790, 'adjustment': 4790, 'net_ar': 8210}], ['control 2', {'as_of': 100, 'invoices': [['I0', 100, 4000], ['I1', 69, 1000], ['I2', 55, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 200, 'writeoffs': []}, {'buckets': [4000, 5000, 0], 'required': 705, 'adjustment': 505, 'net_ar': 8295}], ['control 3', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 54, 1000], ['I2', 70, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 4005, 1000, 0, 0], 'required': 350, 'adjustment': 150, 'net_ar': 4655}], ['control 4', {'as_of': 100, 'invoices': [['I0', 110, 5], ['I1', 10, 5], ['I2', 100, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I0', 'I2']}, {'buckets': [0, 0, 0, 5, 0], 'required': 2, 'adjustment': 2657, 'net_ar': 3}], ['control 5', {'as_of': 100, 'invoices': [['I0', 10, 1000], ['I1', 10, 150], ['I2', 39, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [0, 0, 0, 5000, 0], 'required': 2000, 'adjustment': 1950, 'net_ar': 3000}], ['control 6', {'as_of': 100, 'invoices': [['I0', 70, 5], ['I1', 100, 4000], ['I2', 99, 5], ['I3', 54, 5]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I3']}, {'buckets': [4000, 5, 0, 0, 0], 'required': 40, 'adjustment': 50, 'net_ar': 3965}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 110, 150], ['I1', 10, 1000], ['I2', 70, 150], ['I3', 99, 1000], ['I4', 100, 2500], ['I5', 55, 333], ['I6', 54, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5', 'I6']}, {'buckets': [2650, 1150, 0, 1000, 0], 'required': 485, 'adjustment': 968, 'net_ar': 4315}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', 54, 1000], ['I1', 100, 5], ['I2', 70, 150], ['I3', 110, 150], ['I4', 100, 2500], ['I5', -100, 333], ['I6', 100, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': []}, {'buckets': [2805, 150, 1000, 0, 333], 'required': 436, 'adjustment': 436, 'net_ar': 3852}], ['control 1', {'as_of': 100, 'invoices': [['I0', 110, 2500], ['I1', 69, 150], ['I2', 54, 2500], ['I3', 10, 333]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': ['I1']}, {'buckets': [2500, 0, 2500, 333, 0], 'required': 533, 'adjustment': 483, 'net_ar': 4800}], ['control 2', {'as_of': 100, 'invoices': [['I0', 69, 2500], ['I1', 69, 150], ['I2', 55, 5], ['I3', 71, 1000], ['I4', 55, 4000], ['I5', -100, 2500], ['I6', 69, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 500, 'writeoffs': []}, {'buckets': [0, 1000, 10655, 0, 2500], 'required': 3523, 'adjustment': 3023, 'net_ar': 10632}], ['control 3', {'as_of': 100, 'invoices': [['I0', 10, 4000], ['I1', 9, 1000], ['I2', -100, 2500], ['I3', -100, 150], ['I4', 70, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I0']}, {'buckets': [0, 4000, 3650], 'required': 2325, 'adjustment': 6325, 'net_ar': 5325}], ['control 4', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 54, 4000], ['I2', 55, 4000], ['I3', 9, 1000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': -150, 'writeoffs': []}, {'buckets': [0, 4000, 7500], 'required': 4250, 'adjustment': 4400, 'net_ar': 7250}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 333], ['I1', 39, 1000], ['I2', 100, 150], ['I3', 54, 4000], ['I4', -100, 5], ['I5', 71, 150]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [150, 0, 5338], 'required': 2672, 'adjustment': 2822, 'net_ar': 2816}]], [['regression: per-bucket rounding', {'as_of': 100, 'invoices': [['I0', 70, 4000], ['I1', 70, 2500], ['I2', 100, 4000], ['I3', 71, 5]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': ['I1']}, {'buckets': [4000, 4005, 0], 'required': 581, 'adjustment': 3081, 'net_ar': 7424}], ['regression: per-bucket rounding, partial-repair probe', {'as_of': 100, 'invoices': [['I0', -100, 4000], ['I1', 9, 4000], ['I2', 110, 1000], ['I3', 100, 333], ['I4', 9, 5], ['I5', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': -150, 'writeoffs': ['I5']}, {'buckets': [1333, 0, 0, 0, 8005], 'required': 6017, 'adjustment': 6317, 'net_ar': 3321}], ['control 1', {'as_of': 100, 'invoices': [['I0', 39, 5], ['I1', 99, 4000], ['I2', 55, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1']}, {'buckets': [0, 0, 4000, 0, 0], 'required': 600, 'adjustment': 4605, 'net_ar': 3400}], ['control 2', {'as_of': 100, 'invoices': [['I0', 54, 5], ['I1', 40, 5], ['I2', 99, 333], ['I3', 71, 150], ['I4', 54, 4000]], 'rates': [[0, 200], [45, 1250], [None, 5000]], 'allowance': 0, 'writeoffs': []}, {'buckets': [0, 483, 4010], 'required': 2065, 'adjustment': 2065, 'net_ar': 2428}], ['control 3', {'as_of': 100, 'invoices': [['I0', -100, 2500], ['I1', 39, 4000], ['I2', 55, 1000], ['I3', 40, 4000], ['I4', 40, 4000], ['I5', 54, 2500], ['I6', 99, 4000]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I5']}, {'buckets': [0, 4000, 9000, 4000, 2500], 'required': 5025, 'adjustment': 7525, 'net_ar': 14475}], ['control 4', {'as_of': 100, 'invoices': [['I0', 55, 5], ['I1', 100, 150], ['I2', 99, 150]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 0, 'writeoffs': ['I0', 'I1', 'I2']}, {'buckets': [0, 0, 0, 0, 0], 'required': 0, 'adjustment': 305, 'net_ar': 0}], ['control 5', {'as_of': 100, 'invoices': [['I0', 39, 2500], ['I1', 39, 150], ['I2', 10, 4000], ['I3', 9, 2500]], 'rates': [[0, 100], [30, 500], [60, 1500], [90, 4000], [None, 7500]], 'allowance': 200, 'writeoffs': []}, {'buckets': [0, 0, 0, 6650, 2500], 'required': 4535, 'adjustment': 4335, 'net_ar': 4615}]]]\nfor label, args, expected in fixtures[N-1]:\n    try:\n        actual = solve(args)\n    except Exception as exc:\n        actual = 'raised ' + type(exc).__name__\n    check(label, actual, 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 bounded teaching model with stipulated toy bookkeeping rules stated in the contract; amounts are integer cents; it makes no claim of conformance to any accounting standard or product. 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-double-entry-ledger-accounting-aging-allowance-per-bucket-rounding","generated_at":"2026-09-29T14:46:23.850539+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Ledger software must keep debits equal to credits and apply normal-balance, period and cutoff rules exactly; small sign or boundary slips silently misstate financial statements.","repair":"Round each bucket reserve half-up.","root_cause":"Bucket reserves are truncated instead of rounded half-up.","sha256":"2882076ec753ea79d396036b6770e7cd5ceaeb6b24d22dc11ee0abbb7c397be0","title":"Aging-based allowance adjustment: per-bucket rounding · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.032,"exit_code":1,"observations":[{"actual":{"adjustment":11536,"buckets":[0,0,150,333,6505],"net_ar":1952,"required":5036},"check":"regression: per-bucket rounding","expected":{"adjustment":11535,"buckets":[0,0,150,333,6505],"net_ar":1953,"required":5035},"passed":false},{"actual":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"check":"control 1","expected":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"passed":true},{"actual":{"adjustment":2840,"buckets":[5,5,4000,0,1000],"net_ar":3658,"required":1352},"check":"control 2","expected":{"adjustment":2838,"buckets":[5,5,4000,0,1000],"net_ar":3660,"required":1350},"passed":false},{"actual":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"check":"control 3","expected":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"passed":true},{"actual":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"check":"control 4","expected":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"passed":true},{"actual":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"check":"control 5","expected":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"passed":true},{"actual":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"check":"control 6","expected":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: per-bucket rounding\", \"actual\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5036, \"adjustment\": 11536, \"net_ar\": 1952}, \"expected\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5035, \"adjustment\": 11535, \"net_ar\": 1953}, \"passed\": false}, {\"check\": \"control 1\", \"actual\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"expected\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"passed\": true}, {\"check\": \"control 2\", \"actual\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1352, \"adjustment\": 2840, \"net_ar\": 3658}, \"expected\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1350, \"adjustment\": 2838, \"net_ar\": 3660}, \"passed\": false}, {\"check\": \"control 3\", \"actual\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"expected\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"passed\": true}, {\"check\": \"control 4\", \"actual\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"expected\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"passed\": true}, {\"check\": \"control 5\", \"actual\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"expected\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"passed\": true}, {\"check\": \"control 6\", \"actual\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"expected\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.429,"exit_code":1,"observations":[{"actual":{"adjustment":11533,"buckets":[0,0,150,333,6505],"net_ar":1955,"required":5033},"check":"regression: per-bucket rounding","expected":{"adjustment":11535,"buckets":[0,0,150,333,6505],"net_ar":1953,"required":5035},"passed":false},{"actual":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"check":"control 1","expected":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"passed":true},{"actual":{"adjustment":2838,"buckets":[5,5,4000,0,1000],"net_ar":3660,"required":1350},"check":"control 2","expected":{"adjustment":2838,"buckets":[5,5,4000,0,1000],"net_ar":3660,"required":1350},"passed":true},{"actual":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"check":"control 3","expected":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"passed":true},{"actual":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"check":"control 4","expected":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"passed":true},{"actual":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"check":"control 5","expected":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"passed":true},{"actual":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"check":"control 6","expected":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: per-bucket rounding\", \"actual\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5033, \"adjustment\": 11533, \"net_ar\": 1955}, \"expected\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5035, \"adjustment\": 11535, \"net_ar\": 1953}, \"passed\": false}, {\"check\": \"control 1\", \"actual\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"expected\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"passed\": true}, {\"check\": \"control 2\", \"actual\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1350, \"adjustment\": 2838, \"net_ar\": 3660}, \"expected\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1350, \"adjustment\": 2838, \"net_ar\": 3660}, \"passed\": true}, {\"check\": \"control 3\", \"actual\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"expected\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"passed\": true}, {\"check\": \"control 4\", \"actual\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"expected\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"passed\": true}, {\"check\": \"control 5\", \"actual\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"expected\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"passed\": true}, {\"check\": \"control 6\", \"actual\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"expected\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":42.756,"exit_code":0,"observations":[{"actual":{"adjustment":11535,"buckets":[0,0,150,333,6505],"net_ar":1953,"required":5035},"check":"regression: per-bucket rounding","expected":{"adjustment":11535,"buckets":[0,0,150,333,6505],"net_ar":1953,"required":5035},"passed":true},{"actual":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"check":"control 1","expected":{"adjustment":4083,"buckets":[4150,0,8000],"net_ar":8067,"required":4083},"passed":true},{"actual":{"adjustment":2838,"buckets":[5,5,4000,0,1000],"net_ar":3660,"required":1350},"check":"control 2","expected":{"adjustment":2838,"buckets":[5,5,4000,0,1000],"net_ar":3660,"required":1350},"passed":true},{"actual":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"check":"control 3","expected":{"adjustment":3300,"buckets":[0,0,4000,1000,0],"net_ar":4000,"required":1000},"passed":true},{"actual":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"check":"control 4","expected":{"adjustment":2250,"buckets":[0,4000,3500],"net_ar":5250,"required":2250},"passed":true},{"actual":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"check":"control 5","expected":{"adjustment":2975,"buckets":[0,0,2500,4000,0],"net_ar":4525,"required":1975},"passed":true},{"actual":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"check":"control 6","expected":{"adjustment":1308,"buckets":[0,0,6500,0,0],"net_ar":5525,"required":975},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression: per-bucket rounding\", \"actual\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5035, \"adjustment\": 11535, \"net_ar\": 1953}, \"expected\": {\"buckets\": [0, 0, 150, 333, 6505], \"required\": 5035, \"adjustment\": 11535, \"net_ar\": 1953}, \"passed\": true}, {\"check\": \"control 1\", \"actual\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"expected\": {\"buckets\": [4150, 0, 8000], \"required\": 4083, \"adjustment\": 4083, \"net_ar\": 8067}, \"passed\": true}, {\"check\": \"control 2\", \"actual\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1350, \"adjustment\": 2838, \"net_ar\": 3660}, \"expected\": {\"buckets\": [5, 5, 4000, 0, 1000], \"required\": 1350, \"adjustment\": 2838, \"net_ar\": 3660}, \"passed\": true}, {\"check\": \"control 3\", \"actual\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"expected\": {\"buckets\": [0, 0, 4000, 1000, 0], \"required\": 1000, \"adjustment\": 3300, \"net_ar\": 4000}, \"passed\": true}, {\"check\": \"control 4\", \"actual\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"expected\": {\"buckets\": [0, 4000, 3500], \"required\": 2250, \"adjustment\": 2250, \"net_ar\": 5250}, \"passed\": true}, {\"check\": \"control 5\", \"actual\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"expected\": {\"buckets\": [0, 0, 2500, 4000, 0], \"required\": 1975, \"adjustment\": 2975, \"net_ar\": 4525}, \"passed\": true}, {\"check\": \"control 6\", \"actual\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"expected\": {\"buckets\": [0, 0, 6500, 0, 0], \"required\": 975, \"adjustment\": 1308, \"net_ar\": 5525}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}