FA-58956 / Payroll withholding rules / Open access
Wage garnishment limits with support priority: minimum wage floor basis · case 01
Low-wage employees are garnished below the protected thirty-times-minimum-wage floor.
ROOT CAUSE
The protected floor is measured against gross pay instead of disposable earnings.
VERIFIED REPAIR
Restore the contract rule at the minimum wage floor basis step: use `max(0, disposable - 30 * x['min_wage'])`.
Unsuccessful approach: The attempt measures disposable earnings but subtracts taxes a second time, over-protecting the employee.
Case contract
Input weekly {gross, taxes, voluntary, support_ordered, supports_other_family, arrears_weeks, creditor_ordered, min_wage}. Disposable = max(0, gross - taxes); voluntary deductions are not subtracted. Support cap is 60% of disposable (50% if supporting another family), +5 points when arrears exceed 12 weeks, floored to cents. Creditor cap is min(25% of disposable, disposable - 30*min_wage floored at 0) less support already taken, floored at 0. Return [disposable, support, creditor].
Why this case matters
Garnishment limits hinge on the legal definition of disposable earnings and on ordering support before creditor orders.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
disposable = x['gross'] - x['taxes']
disposable = max(0, disposable)
pct = 50 if x['supports_other_family'] else 60
if x['arrears_weeks'] > 12:
pct += 5
support_cap = disposable * pct // 100
support = min(x['support_ordered'], support_cap)
general_cap = min(disposable * 25 // 100, max(0, x['gross'] - 30 * x['min_wage']))
creditor_room = max(0, general_cap - support)
creditor = min(x['creditor_ordered'], creditor_room)
return [disposable, support, creditor]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('normal control', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('normal control', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('normal control', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('normal control', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('partial-repair probe', {'gross': 39815, 'taxes': 5597, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 89833, 'min_wage': 725}, [34218, 0, 8554]), ('normal control', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('normal control', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('normal control', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('normal control', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0])], [('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('partial-repair probe', {'gross': 55563, 'taxes': 12940, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 31836, 'min_wage': 1000}, [42623, 0, 10655]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('normal control', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('normal control', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('normal control', {'gross': 101914, 'taxes': 33517, 'voluntary': 11339, 'support_ordered': 29483, 'supports_other_family': False, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 1000}, [68397, 29483, 0]), ('normal control', {'gross': 108575, 'taxes': 133, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 98815, 'min_wage': 725}, [108442, 0, 27110])], [('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('partial-repair probe', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('normal control', {'gross': 36727, 'taxes': 8624, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [28103, 0, 0]), ('normal control', {'gross': 33225, 'taxes': 530, 'voluntary': 0, 'support_ordered': 97991, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [32695, 19617, 0]), ('normal control', {'gross': 44831, 'taxes': 4578, 'voluntary': 17862, 'support_ordered': 124565, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40253, 24151, 0]), ('normal control', {'gross': 62104, 'taxes': 11775, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [50329, 0, 0])], [('regression', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('partial-repair probe', {'gross': 34618, 'taxes': 2923, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 79265, 'min_wage': 725}, [31695, 0, 7923]), ('partial-repair probe', {'gross': 29406, 'taxes': 4534, 'voluntary': 12701, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 32946, 'min_wage': 725}, [24872, 0, 3122]), ('normal control', {'gross': 41743, 'taxes': 1120, 'voluntary': 0, 'support_ordered': 64278, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40623, 20311, 0]), ('normal control', {'gross': 140899, 'taxes': 22866, 'voluntary': 10207, 'support_ordered': 106762, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [118033, 59016, 0]), ('normal control', {'gross': 190387, 'taxes': 5582, 'voluntary': 18751, 'support_ordered': 13845, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1000}, [184805, 13845, 0]), ('normal control', {'gross': 50694, 'taxes': 14190, 'voluntary': 8627, 'support_ordered': 11691, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [36504, 11691, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression 0 | [30940, 0, 7735] | [30940, 0, 940] | Failed |
| regression 1 | [26904, 0, 4057] | [26904, 0, 0] | Failed |
| partial-repair probe 2 | [42837, 0, 10709] | [42837, 0, 10709] | Passed |
| partial-repair probe 3 | [31804, 0, 7951] | [31804, 0, 7951] | Passed |
| normal control 4 | [42308, 11010, 0] | [42308, 11010, 0] | Passed |
| normal control 5 | [111632, 55816, 0] | [111632, 55816, 0] | Passed |
| normal control 6 | [54453, 0, 13613] | [54453, 0, 13613] | Passed |
| normal control 7 | [46085, 27651, 0] | [46085, 27651, 0] | Passed |
SHA-256 / f185509215d07e6d33707c13c820bba4831d998e0c0c3f1324b36a0d696cade7
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
disposable = x['gross'] - x['taxes']
disposable = max(0, disposable)
pct = 50 if x['supports_other_family'] else 60
if x['arrears_weeks'] > 12:
pct += 5
support_cap = disposable * pct // 100
support = min(x['support_ordered'], support_cap)
general_cap = min(disposable * 25 // 100, max(0, disposable - 30 * x['min_wage'] - x['taxes']))
creditor_room = max(0, general_cap - support)
creditor = min(x['creditor_ordered'], creditor_room)
return [disposable, support, creditor]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('normal control', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('normal control', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('normal control', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('normal control', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('partial-repair probe', {'gross': 39815, 'taxes': 5597, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 89833, 'min_wage': 725}, [34218, 0, 8554]), ('normal control', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('normal control', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('normal control', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('normal control', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0])], [('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('partial-repair probe', {'gross': 55563, 'taxes': 12940, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 31836, 'min_wage': 1000}, [42623, 0, 10655]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('normal control', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('normal control', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('normal control', {'gross': 101914, 'taxes': 33517, 'voluntary': 11339, 'support_ordered': 29483, 'supports_other_family': False, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 1000}, [68397, 29483, 0]), ('normal control', {'gross': 108575, 'taxes': 133, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 98815, 'min_wage': 725}, [108442, 0, 27110])], [('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('partial-repair probe', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('normal control', {'gross': 36727, 'taxes': 8624, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [28103, 0, 0]), ('normal control', {'gross': 33225, 'taxes': 530, 'voluntary': 0, 'support_ordered': 97991, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [32695, 19617, 0]), ('normal control', {'gross': 44831, 'taxes': 4578, 'voluntary': 17862, 'support_ordered': 124565, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40253, 24151, 0]), ('normal control', {'gross': 62104, 'taxes': 11775, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [50329, 0, 0])], [('regression', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('partial-repair probe', {'gross': 34618, 'taxes': 2923, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 79265, 'min_wage': 725}, [31695, 0, 7923]), ('partial-repair probe', {'gross': 29406, 'taxes': 4534, 'voluntary': 12701, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 32946, 'min_wage': 725}, [24872, 0, 3122]), ('normal control', {'gross': 41743, 'taxes': 1120, 'voluntary': 0, 'support_ordered': 64278, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40623, 20311, 0]), ('normal control', {'gross': 140899, 'taxes': 22866, 'voluntary': 10207, 'support_ordered': 106762, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [118033, 59016, 0]), ('normal control', {'gross': 190387, 'taxes': 5582, 'voluntary': 18751, 'support_ordered': 13845, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1000}, [184805, 13845, 0]), ('normal control', {'gross': 50694, 'taxes': 14190, 'voluntary': 8627, 'support_ordered': 11691, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [36504, 11691, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression 0 | [30940, 0, 0] | [30940, 0, 940] | Failed |
| regression 1 | [26904, 0, 0] | [26904, 0, 0] | Passed |
| partial-repair probe 2 | [42837, 0, 0] | [42837, 0, 10709] | Failed |
| partial-repair probe 3 | [31804, 0, 0] | [31804, 0, 7951] | Failed |
| normal control 4 | [42308, 11010, 0] | [42308, 11010, 0] | Passed |
| normal control 5 | [111632, 55816, 0] | [111632, 55816, 0] | Passed |
| normal control 6 | [54453, 0, 13613] | [54453, 0, 13613] | Passed |
| normal control 7 | [46085, 27651, 0] | [46085, 27651, 0] | Passed |
SHA-256 / e42447c5b2a8bf3c643b976ef7283bc672406d00671af12a8689e1c4e7f238bc
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
disposable = x['gross'] - x['taxes']
disposable = max(0, disposable)
pct = 50 if x['supports_other_family'] else 60
if x['arrears_weeks'] > 12:
pct += 5
support_cap = disposable * pct // 100
support = min(x['support_ordered'], support_cap)
general_cap = min(disposable * 25 // 100, max(0, disposable - 30 * x['min_wage']))
creditor_room = max(0, general_cap - support)
creditor = min(x['creditor_ordered'], creditor_room)
return [disposable, support, creditor]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'gross': 44578, 'taxes': 13638, 'voluntary': 18352, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 12101, 'min_wage': 1000}, [30940, 0, 940]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 57348, 'taxes': 14511, 'voluntary': 6333, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 37, 'creditor_ordered': 25506, 'min_wage': 1000}, [42837, 0, 10709]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('normal control', {'gross': 49885, 'taxes': 7577, 'voluntary': 0, 'support_ordered': 11010, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 76774, 'min_wage': 725}, [42308, 11010, 0]), ('normal control', {'gross': 148773, 'taxes': 37141, 'voluntary': 0, 'support_ordered': 142131, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 65400, 'min_wage': 1000}, [111632, 55816, 0]), ('normal control', {'gross': 60837, 'taxes': 6384, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 99104, 'min_wage': 725}, [54453, 0, 13613]), ('normal control', {'gross': 46826, 'taxes': 741, 'voluntary': 4492, 'support_ordered': 65174, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1500}, [46085, 27651, 0])], [('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('regression', {'gross': 34057, 'taxes': 7153, 'voluntary': 2558, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 16, 'creditor_ordered': 53546, 'min_wage': 1000}, [26904, 0, 0]), ('partial-repair probe', {'gross': 47364, 'taxes': 15560, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 93206, 'min_wage': 725}, [31804, 0, 7951]), ('partial-repair probe', {'gross': 39815, 'taxes': 5597, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 89833, 'min_wage': 725}, [34218, 0, 8554]), ('normal control', {'gross': 17708, 'taxes': 3346, 'voluntary': 3682, 'support_ordered': 144082, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [14362, 7181, 0]), ('normal control', {'gross': 34053, 'taxes': 8230, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [25823, 0, 0]), ('normal control', {'gross': 92812, 'taxes': 14753, 'voluntary': 4255, 'support_ordered': 102328, 'supports_other_family': True, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [78059, 39029, 0]), ('normal control', {'gross': 49631, 'taxes': 10694, 'voluntary': 12100, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 29, 'creditor_ordered': 0, 'min_wage': 1500}, [38937, 0, 0])], [('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('regression', {'gross': 52222, 'taxes': 6001, 'voluntary': 11124, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 24737, 'min_wage': 1500}, [46221, 0, 1221]), ('partial-repair probe', {'gross': 55563, 'taxes': 12940, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 31836, 'min_wage': 1000}, [42623, 0, 10655]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('normal control', {'gross': 152311, 'taxes': 3320, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [148991, 0, 0]), ('normal control', {'gross': 27004, 'taxes': 2084, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 725}, [24920, 0, 0]), ('normal control', {'gross': 101914, 'taxes': 33517, 'voluntary': 11339, 'support_ordered': 29483, 'supports_other_family': False, 'arrears_weeks': 8, 'creditor_ordered': 0, 'min_wage': 1000}, [68397, 29483, 0]), ('normal control', {'gross': 108575, 'taxes': 133, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 98815, 'min_wage': 725}, [108442, 0, 27110])], [('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('regression', {'gross': 54564, 'taxes': 16255, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 2, 'creditor_ordered': 95266, 'min_wage': 1000}, [38309, 0, 8309]), ('partial-repair probe', {'gross': 43333, 'taxes': 8379, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 26, 'creditor_ordered': 75679, 'min_wage': 725}, [34954, 0, 8738]), ('partial-repair probe', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('normal control', {'gross': 36727, 'taxes': 8624, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [28103, 0, 0]), ('normal control', {'gross': 33225, 'taxes': 530, 'voluntary': 0, 'support_ordered': 97991, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1500}, [32695, 19617, 0]), ('normal control', {'gross': 44831, 'taxes': 4578, 'voluntary': 17862, 'support_ordered': 124565, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40253, 24151, 0]), ('normal control', {'gross': 62104, 'taxes': 11775, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 0, 'min_wage': 1000}, [50329, 0, 0])], [('regression', {'gross': 31147, 'taxes': 519, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 74886, 'min_wage': 1000}, [30628, 0, 628]), ('regression', {'gross': 78229, 'taxes': 19071, 'voluntary': 18453, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 77925, 'min_wage': 1500}, [59158, 0, 14158]), ('partial-repair probe', {'gross': 34618, 'taxes': 2923, 'voluntary': 0, 'support_ordered': 0, 'supports_other_family': False, 'arrears_weeks': 0, 'creditor_ordered': 79265, 'min_wage': 725}, [31695, 0, 7923]), ('partial-repair probe', {'gross': 29406, 'taxes': 4534, 'voluntary': 12701, 'support_ordered': 0, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 32946, 'min_wage': 725}, [24872, 0, 3122]), ('normal control', {'gross': 41743, 'taxes': 1120, 'voluntary': 0, 'support_ordered': 64278, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [40623, 20311, 0]), ('normal control', {'gross': 140899, 'taxes': 22866, 'voluntary': 10207, 'support_ordered': 106762, 'supports_other_family': True, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 725}, [118033, 59016, 0]), ('normal control', {'gross': 190387, 'taxes': 5582, 'voluntary': 18751, 'support_ordered': 13845, 'supports_other_family': False, 'arrears_weeks': 12, 'creditor_ordered': 0, 'min_wage': 1000}, [184805, 13845, 0]), ('normal control', {'gross': 50694, 'taxes': 14190, 'voluntary': 8627, 'support_ordered': 11691, 'supports_other_family': True, 'arrears_weeks': 13, 'creditor_ordered': 0, 'min_wage': 725}, [36504, 11691, 0])]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression 0 | [30940, 0, 940] | [30940, 0, 940] | Passed |
| regression 1 | [26904, 0, 0] | [26904, 0, 0] | Passed |
| partial-repair probe 2 | [42837, 0, 10709] | [42837, 0, 10709] | Passed |
| partial-repair probe 3 | [31804, 0, 7951] | [31804, 0, 7951] | Passed |
| normal control 4 | [42308, 11010, 0] | [42308, 11010, 0] | Passed |
| normal control 5 | [111632, 55816, 0] | [111632, 55816, 0] | Passed |
| normal control 6 | [54453, 0, 13613] | [54453, 0, 13613] | Passed |
| normal control 7 | [46085, 27651, 0] | [46085, 27651, 0] | Passed |
SHA-256 / 61c866fcefc198acab6adefcdbbfad8df6e22c7c9f84b231e1ad52251d41ccb5
Verification & scope
A deterministic teaching model of a stipulated payroll rule with toy thresholds and rates. It makes no claim of conformance to any tax authority, statute or jurisdiction and is not payroll software. 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.
Observations recorded using Python 3.12.14 at 2026-09-29T14:46:31.601864+00:00.
Case digest / 40b7a1d5c80ef2998cf2d13731aa90fc7d833ab4283c8a8603e565ce018163af