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FA-68811 / Toll and parking fee computation / Open access

Unpaid toll violation escalation: the waiver is granted to unpaid notices · case 01

Unpaid toll violation escalation returns a wrong result when the waiver is granted to unpaid notices.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Unpaid notices of first-time offenders show a reduced balance.

THE FAILURE

Unpaid notices of first-time offenders show a reduced balance.

Unsuccessful approach: Checking today instead of payment waives the fee for unpaid notices still inside stage 2.

Case contract

Input {toll, issued_day, paid_day (or null), today, first_fee, second_fee, stage1_days, stage2_days, cap, waiver_first}. Age is measured to the payment day if paid, else today. Age above stage1 adds first_fee; first-time offenders (waiver_first) who actually paid within stage2 have it waived. Age above stage2 adds second_fee. Penalties (not the toll) are capped at cap. Return amount due.

Why this case matters

Fee engines bill customers in integer cents; a wrong boundary, rounding stage or cap scope silently over- or under-charges.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    ev = x['paid_day'] if x['paid_day'] is not None else x['today']
    age = ev - x['issued_day']
    pen = 0
    if age > x['stage1_days']:
        pen += x['first_fee']
        if x['waiver_first'] and age <= x['stage2_days']:
            pen -= x['first_fee']
    if age > x['stage2_days']:
        pen += x['second_fee']
    return x['toll'] + min(pen, x['cap'])
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'toll': 250, 'issued_day': 88, 'paid_day': 118, 'today': 118, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 250), ({'toll': 250, 'issued_day': 21, 'paid_day': None, 'today': 51, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 250), ({'toll': 250, 'issued_day': 94, 'paid_day': None, 'today': 125, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 1250), ({'toll': 400, 'issued_day': 10, 'paid_day': 70, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 400), ({'toll': 250, 'issued_day': 13, 'paid_day': None, 'today': 74, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 5250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 250, 'issued_day': 34, 'paid_day': None, 'today': 94, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 750)], [({'toll': 875, 'issued_day': 1, 'paid_day': 56, 'today': 65, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 875), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 875, 'issued_day': 28, 'paid_day': 58, 'today': 58, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 875), ({'toll': 250, 'issued_day': 30, 'paid_day': None, 'today': 90, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 750), ({'toll': 875, 'issued_day': 27, 'paid_day': None, 'today': 87, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 1875), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 66, 'paid_day': 126, 'today': 127, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900)], [({'toll': 250, 'issued_day': 95, 'paid_day': None, 'today': 155, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 750), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 250, 'issued_day': 6, 'paid_day': 36, 'today': 36, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 10, 'paid_day': 40, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 91, 'paid_day': 121, 'today': 122, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': False}, 400), ({'toll': 875, 'issued_day': 67, 'paid_day': 114, 'today': 128, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 1875), ({'toll': 875, 'issued_day': 99, 'paid_day': None, 'today': 157, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1875)], [({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 875, 'issued_day': 67, 'paid_day': 98, 'today': 128, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 875), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 400, 'issued_day': 6, 'paid_day': None, 'today': 66, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 900), ({'toll': 250, 'issued_day': 1, 'paid_day': 32, 'today': 32, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 250), ({'toll': 250, 'issued_day': 46, 'paid_day': 76, 'today': 76, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 250), ({'toll': 875, 'issued_day': 6, 'paid_day': None, 'today': 37, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 1375)], [({'toll': 400, 'issued_day': 49, 'paid_day': 97, 'today': 110, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900), ({'toll': 400, 'issued_day': 10, 'paid_day': 70, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 400), ({'toll': 250, 'issued_day': 57, 'paid_day': None, 'today': 88, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 750), ({'toll': 250, 'issued_day': 30, 'paid_day': 61, 'today': 61, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 47, 'paid_day': 78, 'today': 78, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 875, 'issued_day': 83, 'paid_day': None, 'today': 131, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1375)]]
for i, (args, expected) in enumerate(fixtures[N-1]):
    check('fee oracle' + ' %d' % 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 fixtureActualExpectedOutcome
fee oracle 0250250Passed
fee oracle 1250250Passed
fee oracle 22501250Failed
fee oracle 3400400Passed
fee oracle 452505250Passed
fee oracle 54001400Failed
fee oracle 6400400Passed
fee oracle 7250750Failed

SHA-256 / f27f765e7ab01c8c7a1d8fb2fe8d0b78c22b8eef4a9f7fafccbd0b2827e1df2f

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    ev = x['paid_day'] if x['paid_day'] is not None else x['today']
    age = ev - x['issued_day']
    pen = 0
    if age > x['stage1_days']:
        pen += x['first_fee']
        if x['waiver_first'] and x['today'] - x['issued_day'] <= x['stage2_days'] and age <= x['stage2_days']:
            pen -= x['first_fee']
    if age > x['stage2_days']:
        pen += x['second_fee']
    return x['toll'] + min(pen, x['cap'])
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'toll': 250, 'issued_day': 88, 'paid_day': 118, 'today': 118, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 250), ({'toll': 250, 'issued_day': 21, 'paid_day': None, 'today': 51, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 250), ({'toll': 250, 'issued_day': 94, 'paid_day': None, 'today': 125, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 1250), ({'toll': 400, 'issued_day': 10, 'paid_day': 70, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 400), ({'toll': 250, 'issued_day': 13, 'paid_day': None, 'today': 74, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 5250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 250, 'issued_day': 34, 'paid_day': None, 'today': 94, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 750)], [({'toll': 875, 'issued_day': 1, 'paid_day': 56, 'today': 65, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 875), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 875, 'issued_day': 28, 'paid_day': 58, 'today': 58, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 875), ({'toll': 250, 'issued_day': 30, 'paid_day': None, 'today': 90, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 750), ({'toll': 875, 'issued_day': 27, 'paid_day': None, 'today': 87, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 1875), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 66, 'paid_day': 126, 'today': 127, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900)], [({'toll': 250, 'issued_day': 95, 'paid_day': None, 'today': 155, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 750), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 250, 'issued_day': 6, 'paid_day': 36, 'today': 36, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 10, 'paid_day': 40, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 91, 'paid_day': 121, 'today': 122, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': False}, 400), ({'toll': 875, 'issued_day': 67, 'paid_day': 114, 'today': 128, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 1875), ({'toll': 875, 'issued_day': 99, 'paid_day': None, 'today': 157, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1875)], [({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 875, 'issued_day': 67, 'paid_day': 98, 'today': 128, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 875), ({'toll': 875, 'issued_day': 0, 'paid_day': None, 'today': 100, 'first_fee': 1000, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': False}, 3875), ({'toll': 400, 'issued_day': 6, 'paid_day': None, 'today': 66, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 3000, 'waiver_first': True}, 900), ({'toll': 250, 'issued_day': 1, 'paid_day': 32, 'today': 32, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 250), ({'toll': 250, 'issued_day': 46, 'paid_day': 76, 'today': 76, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 250), ({'toll': 875, 'issued_day': 6, 'paid_day': None, 'today': 37, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 1375)], [({'toll': 400, 'issued_day': 49, 'paid_day': 97, 'today': 110, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900), ({'toll': 400, 'issued_day': 10, 'paid_day': 70, 'today': 90, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 400), ({'toll': 250, 'issued_day': 57, 'paid_day': None, 'today': 88, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 750), ({'toll': 250, 'issued_day': 30, 'paid_day': 61, 'today': 61, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 7500, 'waiver_first': True}, 250), ({'toll': 400, 'issued_day': 0, 'paid_day': None, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1400), ({'toll': 400, 'issued_day': 47, 'paid_day': 78, 'today': 78, 'first_fee': 500, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 900), ({'toll': 400, 'issued_day': 0, 'paid_day': 0, 'today': 45, 'first_fee': 1000, 'second_fee': 2500, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': False}, 400), ({'toll': 875, 'issued_day': 83, 'paid_day': None, 'today': 131, 'first_fee': 500, 'second_fee': 5000, 'stage1_days': 30, 'stage2_days': 60, 'cap': 5000, 'waiver_first': True}, 1375)]]
for i, (args, expected) in enumerate(fixtures[N-1]):
    check('fee oracle' + ' %d' % 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 fixtureActualExpectedOutcome
fee oracle 0250250Passed
fee oracle 1250250Passed
fee oracle 22501250Failed
fee oracle 31400400Failed
fee oracle 452505250Passed
fee oracle 54001400Failed
fee oracle 6400400Passed
fee oracle 7250750Failed

SHA-256 / 9c18c7d1ef58d3e77b210d639d38938639e5515c80503e6d15d3fcbb59d9be99

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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Verification & scope

A deterministic, bounded toy model with a stipulated contract; it makes no claim of conformance to any agency manual or standard. 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 2026-09-29T14:48:05.720906+00:00.

Case digest / 82ec713a80d934f81e51de8fb3bc9573c2cd15bfe09fdebdda2370a3c0e55012