FA-62856 / Insurance premium rating / Open access
Personal auto multiplicative rating: Rated premium is truncated instead of rounded half-up · case 01
Premiums with a fractional cent of one half or more come out one cent low.
ROOT CAUSE
The single rounding step truncates the exact rated premium.
THE FAILURE
The single rounding step truncates the exact rated premium.
Unsuccessful approach: Ceiling rounds every fractional cent up, overcharging values below one half.
Case contract
Input dict base, territory (A/B/C factors 1.00/1.15/1.30, else 'invalid territory'), age (<16 'invalid age'; 16-24 factor 1.50; 25-64 1.00; 65+ 1.20), symbol s with factor 1+0.05*(s-1), cars (>=2 gives 10% discount), fee. Rated premium = base*factors*discount rounded half-up to a cent once, then a 30000-cent minimum, then the fee is added.
Why this case matters
Premium rating engines apply ordered tabular rules where one misplaced boundary or step silently misprices policies.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
T={'A':Fraction(1),'B':Fraction(115,100),'C':Fraction(130,100)}
if x['territory'] not in T: return 'invalid territory'
age=x['age']
if age<16: return 'invalid age'
if age<25: af=Fraction(150,100)
elif age<65: af=Fraction(1)
else: af=Fraction(120,100)
sf=1+Fraction(5,100)*(x['symbol']-1)
disc=Fraction(90,100) if x['cars']>=2 else Fraction(1)
rated=x['base']*T[x['territory']]*af*sf
rated=rated*disc
rated=int(rated)
rated=max(rated,30000)
return rated+x['fee']
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['youthful band ends at 24', {'base': 54520, 'territory': 'B', 'age': 24, 'symbol': 10, 'cars': 1, 'fee': 0}, 136368], ['age 25 leaves youthful band', {'base': 48271, 'territory': 'A', 'age': 25, 'symbol': 2, 'cars': 1, 'fee': 1500}, 52185], ['senior boundary 65', {'base': 31490, 'territory': 'A', 'age': 65, 'symbol': 8, 'cars': 2, 'fee': 0}, 45912], ['two cars earn multi-car discount', {'base': 53546, 'territory': 'A', 'age': 55, 'symbol': 8, 'cars': 2, 'fee': 0}, 65058], ['single car control', {'base': 41604, 'territory': 'A', 'age': 56, 'symbol': 9, 'cars': 1, 'fee': 0}, 58246], ['discounted policy below minimum', {'base': 30977, 'territory': 'A', 'age': 39, 'symbol': 1, 'cars': 3, 'fee': 0}, 30000], ['unknown territory rejected', {'base': 78746, 'territory': 'Z', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 84653, 'territory': 'C', 'age': 15, 'symbol': 2, 'cars': 1, 'fee': 2500}, 'invalid age'], ['random rating 0', {'base': 34126, 'territory': 'C', 'age': 33, 'symbol': 6, 'cars': 3, 'fee': 0}, 49909], ['random rating 1', {'base': 62350, 'territory': 'A', 'age': 16, 'symbol': 1, 'cars': 3, 'fee': 1500}, 85673], ['random rating 2', {'base': 95267, 'territory': 'A', 'age': 16, 'symbol': 6, 'cars': 2, 'fee': 2500}, 163263], ['random rating 3', {'base': 65141, 'territory': 'A', 'age': 16, 'symbol': 5, 'cars': 2, 'fee': 1500}, 107028], ['top symbol relativity', {'base': 50001, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85877], ['half-cent rounds up', {'base': 60003, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 71503], ['sub-half cent rounds down', {'base': 40011, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48513]], [['youthful band ends at 24', {'base': 65596, 'territory': 'B', 'age': 24, 'symbol': 4, 'cars': 1, 'fee': 1500}, 131626], ['age 25 leaves youthful band', {'base': 53332, 'territory': 'C', 'age': 25, 'symbol': 6, 'cars': 1, 'fee': 1500}, 88165], ['senior boundary 65', {'base': 72267, 'territory': 'B', 'age': 65, 'symbol': 9, 'cars': 2, 'fee': 0}, 125658], ['two cars earn multi-car discount', {'base': 46182, 'territory': 'A', 'age': 53, 'symbol': 1, 'cars': 2, 'fee': 2500}, 44064], ['single car control', {'base': 42325, 'territory': 'C', 'age': 57, 'symbol': 4, 'cars': 1, 'fee': 2500}, 65776], ['discounted policy below minimum', {'base': 31359, 'territory': 'A', 'age': 40, 'symbol': 1, 'cars': 3, 'fee': 1500}, 31500], ['unknown territory rejected', {'base': 70758, 'territory': 'Z', 'age': 40, 'symbol': 3, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 74254, 'territory': 'B', 'age': 15, 'symbol': 2, 'cars': 1, 'fee': 0}, 'invalid age'], ['random rating 0', {'base': 35490, 'territory': 'C', 'age': 47, 'symbol': 10, 'cars': 1, 'fee': 0}, 66899], ['random rating 1', {'base': 93585, 'territory': 'B', 'age': 47, 'symbol': 2, 'cars': 1, 'fee': 0}, 113004], ['random rating 2', {'base': 54005, 'territory': 'C', 'age': 47, 'symbol': 8, 'cars': 1, 'fee': 0}, 94779], ['random rating 3', {'base': 35309, 'territory': 'C', 'age': 20, 'symbol': 6, 'cars': 2, 'fee': 1500}, 78959], ['top symbol relativity', {'base': 50002, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 1500}, 84878], ['half-cent rounds up', {'base': 60007, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69008], ['sub-half cent rounds down', {'base': 40031, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 46036]], [['youthful band ends at 24', {'base': 33706, 'territory': 'B', 'age': 24, 'symbol': 1, 'cars': 1, 'fee': 1500}, 59643], ['age 25 leaves youthful band', {'base': 47580, 'territory': 'C', 'age': 25, 'symbol': 4, 'cars': 1, 'fee': 1500}, 72632], ['senior boundary 65', {'base': 45782, 'territory': 'A', 'age': 65, 'symbol': 7, 'cars': 2, 'fee': 1500}, 65778], ['two cars earn multi-car discount', {'base': 69933, 'territory': 'C', 'age': 45, 'symbol': 3, 'cars': 2, 'fee': 2500}, 92504], ['single car control', {'base': 81532, 'territory': 'A', 'age': 57, 'symbol': 10, 'cars': 1, 'fee': 1500}, 119721], ['discounted policy below minimum', {'base': 31838, 'territory': 'A', 'age': 49, 'symbol': 1, 'cars': 3, 'fee': 1500}, 31500], ['unknown territory rejected', {'base': 23484, 'territory': 'Z', 'age': 40, 'symbol': 5, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 20672, 'territory': 'A', 'age': 15, 'symbol': 8, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 54283, 'territory': 'B', 'age': 16, 'symbol': 7, 'cars': 2, 'fee': 0}, 109557], ['random rating 1', {'base': 85283, 'territory': 'B', 'age': 33, 'symbol': 7, 'cars': 3, 'fee': 1500}, 116248], ['random rating 2', {'base': 97243, 'territory': 'A', 'age': 47, 'symbol': 10, 'cars': 2, 'fee': 1500}, 128402], ['random rating 3', {'base': 47342, 'territory': 'B', 'age': 70, 'symbol': 9, 'cars': 3, 'fee': 1500}, 83818], ['top symbol relativity', {'base': 50003, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85880], ['half-cent rounds up', {'base': 60011, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69013], ['sub-half cent rounds down', {'base': 40051, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 46059]], [['youthful band ends at 24', {'base': 49705, 'territory': 'B', 'age': 24, 'symbol': 10, 'cars': 1, 'fee': 0}, 124325], ['age 25 leaves youthful band', {'base': 77136, 'territory': 'B', 'age': 25, 'symbol': 9, 'cars': 1, 'fee': 2500}, 126689], ['senior boundary 65', {'base': 48566, 'territory': 'C', 'age': 65, 'symbol': 7, 'cars': 1, 'fee': 2500}, 100992], ['two cars earn multi-car discount', {'base': 86089, 'territory': 'C', 'age': 58, 'symbol': 4, 'cars': 2, 'fee': 2500}, 118333], ['single car control', {'base': 65782, 'territory': 'C', 'age': 60, 'symbol': 5, 'cars': 1, 'fee': 0}, 102620], ['discounted policy below minimum', {'base': 30193, 'territory': 'A', 'age': 34, 'symbol': 1, 'cars': 3, 'fee': 2500}, 32500], ['unknown territory rejected', {'base': 37853, 'territory': 'Z', 'age': 40, 'symbol': 5, 'cars': 1, 'fee': 2500}, 'invalid territory'], ['under-age applicant rejected', {'base': 85063, 'territory': 'C', 'age': 15, 'symbol': 9, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 81605, 'territory': 'C', 'age': 70, 'symbol': 3, 'cars': 1, 'fee': 2500}, 142534], ['random rating 1', {'base': 50741, 'territory': 'C', 'age': 16, 'symbol': 9, 'cars': 1, 'fee': 0}, 138523], ['random rating 2', {'base': 88025, 'territory': 'B', 'age': 33, 'symbol': 5, 'cars': 1, 'fee': 0}, 121475], ['random rating 3', {'base': 60769, 'territory': 'C', 'age': 47, 'symbol': 8, 'cars': 3, 'fee': 1500}, 97485], ['top symbol relativity', {'base': 50004, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85882], ['half-cent rounds up', {'base': 60015, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69017], ['sub-half cent rounds down', {'base': 40071, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48582]], [['youthful band ends at 24', {'base': 83462, 'territory': 'C', 'age': 24, 'symbol': 4, 'cars': 1, 'fee': 0}, 187164], ['age 25 leaves youthful band', {'base': 23842, 'territory': 'A', 'age': 25, 'symbol': 10, 'cars': 1, 'fee': 2500}, 37071], ['senior boundary 65', {'base': 43695, 'territory': 'C', 'age': 65, 'symbol': 10, 'cars': 2, 'fee': 1500}, 90454], ['two cars earn multi-car discount', {'base': 87356, 'territory': 'A', 'age': 42, 'symbol': 8, 'cars': 2, 'fee': 2500}, 108638], ['single car control', {'base': 73244, 'territory': 'B', 'age': 41, 'symbol': 8, 'cars': 1, 'fee': 0}, 113711], ['discounted policy below minimum', {'base': 30044, 'territory': 'A', 'age': 31, 'symbol': 1, 'cars': 3, 'fee': 0}, 30000], ['unknown territory rejected', {'base': 50727, 'territory': 'Z', 'age': 40, 'symbol': 6, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 35931, 'territory': 'A', 'age': 15, 'symbol': 3, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 90411, 'territory': 'C', 'age': 70, 'symbol': 10, 'cars': 3, 'fee': 2500}, 186559], ['random rating 1', {'base': 60039, 'territory': 'C', 'age': 33, 'symbol': 10, 'cars': 2, 'fee': 2500}, 104356], ['random rating 2', {'base': 58926, 'territory': 'A', 'age': 47, 'symbol': 9, 'cars': 2, 'fee': 1500}, 75747], ['random rating 3', {'base': 56741, 'territory': 'B', 'age': 16, 'symbol': 6, 'cars': 1, 'fee': 2500}, 124848], ['top symbol relativity', {'base': 50005, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85883], ['half-cent rounds up', {'base': 60019, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69022], ['sub-half cent rounds down', {'base': 40091, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48605]]]
for label, args, expected in fixtures[N-1]:
check(label, 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 |
|---|---|---|---|
| youthful band ends at 24 | 136368 | 136368 | Passed |
| age 25 leaves youthful band | 52184 | 52185 | Failed |
| senior boundary 65 | 45912 | 45912 | Passed |
| two cars earn multi-car discount | 65058 | 65058 | Passed |
| single car control | 58245 | 58246 | Failed |
| discounted policy below minimum | 30000 | 30000 | Passed |
| unknown territory rejected | invalid territory | invalid territory | Passed |
| under-age applicant rejected | invalid age | invalid age | Passed |
| random rating 0 | 49909 | 49909 | Passed |
| random rating 1 | 85672 | 85673 | Failed |
| random rating 2 | 163263 | 163263 | Passed |
| random rating 3 | 107028 | 107028 | Passed |
| top symbol relativity | 85876 | 85877 | Failed |
| half-cent rounds up | 71503 | 71503 | Passed |
| sub-half cent rounds down | 48512 | 48513 | Failed |
SHA-256 / b41c5225e016fa0630655ea36a3d57918dd7e6b2d0d6bd583740b24a89af3b84
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
T={'A':Fraction(1),'B':Fraction(115,100),'C':Fraction(130,100)}
if x['territory'] not in T: return 'invalid territory'
age=x['age']
if age<16: return 'invalid age'
if age<25: af=Fraction(150,100)
elif age<65: af=Fraction(1)
else: af=Fraction(120,100)
sf=1+Fraction(5,100)*(x['symbol']-1)
disc=Fraction(90,100) if x['cars']>=2 else Fraction(1)
rated=x['base']*T[x['territory']]*af*sf
rated=rated*disc
rated=math.ceil(rated)
rated=max(rated,30000)
return rated+x['fee']
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['youthful band ends at 24', {'base': 54520, 'territory': 'B', 'age': 24, 'symbol': 10, 'cars': 1, 'fee': 0}, 136368], ['age 25 leaves youthful band', {'base': 48271, 'territory': 'A', 'age': 25, 'symbol': 2, 'cars': 1, 'fee': 1500}, 52185], ['senior boundary 65', {'base': 31490, 'territory': 'A', 'age': 65, 'symbol': 8, 'cars': 2, 'fee': 0}, 45912], ['two cars earn multi-car discount', {'base': 53546, 'territory': 'A', 'age': 55, 'symbol': 8, 'cars': 2, 'fee': 0}, 65058], ['single car control', {'base': 41604, 'territory': 'A', 'age': 56, 'symbol': 9, 'cars': 1, 'fee': 0}, 58246], ['discounted policy below minimum', {'base': 30977, 'territory': 'A', 'age': 39, 'symbol': 1, 'cars': 3, 'fee': 0}, 30000], ['unknown territory rejected', {'base': 78746, 'territory': 'Z', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 84653, 'territory': 'C', 'age': 15, 'symbol': 2, 'cars': 1, 'fee': 2500}, 'invalid age'], ['random rating 0', {'base': 34126, 'territory': 'C', 'age': 33, 'symbol': 6, 'cars': 3, 'fee': 0}, 49909], ['random rating 1', {'base': 62350, 'territory': 'A', 'age': 16, 'symbol': 1, 'cars': 3, 'fee': 1500}, 85673], ['random rating 2', {'base': 95267, 'territory': 'A', 'age': 16, 'symbol': 6, 'cars': 2, 'fee': 2500}, 163263], ['random rating 3', {'base': 65141, 'territory': 'A', 'age': 16, 'symbol': 5, 'cars': 2, 'fee': 1500}, 107028], ['top symbol relativity', {'base': 50001, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85877], ['half-cent rounds up', {'base': 60003, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 71503], ['sub-half cent rounds down', {'base': 40011, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48513]], [['youthful band ends at 24', {'base': 65596, 'territory': 'B', 'age': 24, 'symbol': 4, 'cars': 1, 'fee': 1500}, 131626], ['age 25 leaves youthful band', {'base': 53332, 'territory': 'C', 'age': 25, 'symbol': 6, 'cars': 1, 'fee': 1500}, 88165], ['senior boundary 65', {'base': 72267, 'territory': 'B', 'age': 65, 'symbol': 9, 'cars': 2, 'fee': 0}, 125658], ['two cars earn multi-car discount', {'base': 46182, 'territory': 'A', 'age': 53, 'symbol': 1, 'cars': 2, 'fee': 2500}, 44064], ['single car control', {'base': 42325, 'territory': 'C', 'age': 57, 'symbol': 4, 'cars': 1, 'fee': 2500}, 65776], ['discounted policy below minimum', {'base': 31359, 'territory': 'A', 'age': 40, 'symbol': 1, 'cars': 3, 'fee': 1500}, 31500], ['unknown territory rejected', {'base': 70758, 'territory': 'Z', 'age': 40, 'symbol': 3, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 74254, 'territory': 'B', 'age': 15, 'symbol': 2, 'cars': 1, 'fee': 0}, 'invalid age'], ['random rating 0', {'base': 35490, 'territory': 'C', 'age': 47, 'symbol': 10, 'cars': 1, 'fee': 0}, 66899], ['random rating 1', {'base': 93585, 'territory': 'B', 'age': 47, 'symbol': 2, 'cars': 1, 'fee': 0}, 113004], ['random rating 2', {'base': 54005, 'territory': 'C', 'age': 47, 'symbol': 8, 'cars': 1, 'fee': 0}, 94779], ['random rating 3', {'base': 35309, 'territory': 'C', 'age': 20, 'symbol': 6, 'cars': 2, 'fee': 1500}, 78959], ['top symbol relativity', {'base': 50002, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 1500}, 84878], ['half-cent rounds up', {'base': 60007, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69008], ['sub-half cent rounds down', {'base': 40031, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 46036]], [['youthful band ends at 24', {'base': 33706, 'territory': 'B', 'age': 24, 'symbol': 1, 'cars': 1, 'fee': 1500}, 59643], ['age 25 leaves youthful band', {'base': 47580, 'territory': 'C', 'age': 25, 'symbol': 4, 'cars': 1, 'fee': 1500}, 72632], ['senior boundary 65', {'base': 45782, 'territory': 'A', 'age': 65, 'symbol': 7, 'cars': 2, 'fee': 1500}, 65778], ['two cars earn multi-car discount', {'base': 69933, 'territory': 'C', 'age': 45, 'symbol': 3, 'cars': 2, 'fee': 2500}, 92504], ['single car control', {'base': 81532, 'territory': 'A', 'age': 57, 'symbol': 10, 'cars': 1, 'fee': 1500}, 119721], ['discounted policy below minimum', {'base': 31838, 'territory': 'A', 'age': 49, 'symbol': 1, 'cars': 3, 'fee': 1500}, 31500], ['unknown territory rejected', {'base': 23484, 'territory': 'Z', 'age': 40, 'symbol': 5, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 20672, 'territory': 'A', 'age': 15, 'symbol': 8, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 54283, 'territory': 'B', 'age': 16, 'symbol': 7, 'cars': 2, 'fee': 0}, 109557], ['random rating 1', {'base': 85283, 'territory': 'B', 'age': 33, 'symbol': 7, 'cars': 3, 'fee': 1500}, 116248], ['random rating 2', {'base': 97243, 'territory': 'A', 'age': 47, 'symbol': 10, 'cars': 2, 'fee': 1500}, 128402], ['random rating 3', {'base': 47342, 'territory': 'B', 'age': 70, 'symbol': 9, 'cars': 3, 'fee': 1500}, 83818], ['top symbol relativity', {'base': 50003, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85880], ['half-cent rounds up', {'base': 60011, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69013], ['sub-half cent rounds down', {'base': 40051, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 46059]], [['youthful band ends at 24', {'base': 49705, 'territory': 'B', 'age': 24, 'symbol': 10, 'cars': 1, 'fee': 0}, 124325], ['age 25 leaves youthful band', {'base': 77136, 'territory': 'B', 'age': 25, 'symbol': 9, 'cars': 1, 'fee': 2500}, 126689], ['senior boundary 65', {'base': 48566, 'territory': 'C', 'age': 65, 'symbol': 7, 'cars': 1, 'fee': 2500}, 100992], ['two cars earn multi-car discount', {'base': 86089, 'territory': 'C', 'age': 58, 'symbol': 4, 'cars': 2, 'fee': 2500}, 118333], ['single car control', {'base': 65782, 'territory': 'C', 'age': 60, 'symbol': 5, 'cars': 1, 'fee': 0}, 102620], ['discounted policy below minimum', {'base': 30193, 'territory': 'A', 'age': 34, 'symbol': 1, 'cars': 3, 'fee': 2500}, 32500], ['unknown territory rejected', {'base': 37853, 'territory': 'Z', 'age': 40, 'symbol': 5, 'cars': 1, 'fee': 2500}, 'invalid territory'], ['under-age applicant rejected', {'base': 85063, 'territory': 'C', 'age': 15, 'symbol': 9, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 81605, 'territory': 'C', 'age': 70, 'symbol': 3, 'cars': 1, 'fee': 2500}, 142534], ['random rating 1', {'base': 50741, 'territory': 'C', 'age': 16, 'symbol': 9, 'cars': 1, 'fee': 0}, 138523], ['random rating 2', {'base': 88025, 'territory': 'B', 'age': 33, 'symbol': 5, 'cars': 1, 'fee': 0}, 121475], ['random rating 3', {'base': 60769, 'territory': 'C', 'age': 47, 'symbol': 8, 'cars': 3, 'fee': 1500}, 97485], ['top symbol relativity', {'base': 50004, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85882], ['half-cent rounds up', {'base': 60015, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69017], ['sub-half cent rounds down', {'base': 40071, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48582]], [['youthful band ends at 24', {'base': 83462, 'territory': 'C', 'age': 24, 'symbol': 4, 'cars': 1, 'fee': 0}, 187164], ['age 25 leaves youthful band', {'base': 23842, 'territory': 'A', 'age': 25, 'symbol': 10, 'cars': 1, 'fee': 2500}, 37071], ['senior boundary 65', {'base': 43695, 'territory': 'C', 'age': 65, 'symbol': 10, 'cars': 2, 'fee': 1500}, 90454], ['two cars earn multi-car discount', {'base': 87356, 'territory': 'A', 'age': 42, 'symbol': 8, 'cars': 2, 'fee': 2500}, 108638], ['single car control', {'base': 73244, 'territory': 'B', 'age': 41, 'symbol': 8, 'cars': 1, 'fee': 0}, 113711], ['discounted policy below minimum', {'base': 30044, 'territory': 'A', 'age': 31, 'symbol': 1, 'cars': 3, 'fee': 0}, 30000], ['unknown territory rejected', {'base': 50727, 'territory': 'Z', 'age': 40, 'symbol': 6, 'cars': 1, 'fee': 0}, 'invalid territory'], ['under-age applicant rejected', {'base': 35931, 'territory': 'A', 'age': 15, 'symbol': 3, 'cars': 1, 'fee': 1500}, 'invalid age'], ['random rating 0', {'base': 90411, 'territory': 'C', 'age': 70, 'symbol': 10, 'cars': 3, 'fee': 2500}, 186559], ['random rating 1', {'base': 60039, 'territory': 'C', 'age': 33, 'symbol': 10, 'cars': 2, 'fee': 2500}, 104356], ['random rating 2', {'base': 58926, 'territory': 'A', 'age': 47, 'symbol': 9, 'cars': 2, 'fee': 1500}, 75747], ['random rating 3', {'base': 56741, 'territory': 'B', 'age': 16, 'symbol': 6, 'cars': 1, 'fee': 2500}, 124848], ['top symbol relativity', {'base': 50005, 'territory': 'B', 'age': 40, 'symbol': 10, 'cars': 1, 'fee': 2500}, 85883], ['half-cent rounds up', {'base': 60019, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 0}, 69022], ['sub-half cent rounds down', {'base': 40091, 'territory': 'B', 'age': 40, 'symbol': 1, 'cars': 1, 'fee': 2500}, 48605]]]
for label, args, expected in fixtures[N-1]:
check(label, 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 |
|---|---|---|---|
| youthful band ends at 24 | 136369 | 136368 | Failed |
| age 25 leaves youthful band | 52185 | 52185 | Passed |
| senior boundary 65 | 45913 | 45912 | Failed |
| two cars earn multi-car discount | 65059 | 65058 | Failed |
| single car control | 58246 | 58246 | Passed |
| discounted policy below minimum | 30000 | 30000 | Passed |
| unknown territory rejected | invalid territory | invalid territory | Passed |
| under-age applicant rejected | invalid age | invalid age | Passed |
| random rating 0 | 49910 | 49909 | Failed |
| random rating 1 | 85673 | 85673 | Passed |
| random rating 2 | 163264 | 163263 | Failed |
| random rating 3 | 107029 | 107028 | Failed |
| top symbol relativity | 85877 | 85877 | Passed |
| half-cent rounds up | 71504 | 71503 | Failed |
| sub-half cent rounds down | 48513 | 48513 | Passed |
SHA-256 / 6d4d1549d1068bcad8967931ba1c2a23dd7795c0c9186305fa6a1297c045977d
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A deterministic bounded teaching model of a stipulated toy rating contract. Amounts are integer cents and factors exact rationals; it makes no claim of conformance with any filed rating plan, bureau manual or jurisdiction. 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 2026-09-29T14:47:08.759766+00:00.
Case digest / df4143bb1822fa790d2d789012021eafa1aa8b70f409b70afbf66f365e6a0879