FA-63041 / Insurance premium rating / Open access
Schedule rating credits and debits: Category caps are not applied · case 01
Stacked items in one category exceed that category's maximum.
ROOT CAUSE
Category sums are added to the total without clamping.
VERIFIED REPAIR
Clamp each category sum to [-cap, cap].
Unsuccessful approach: Clamping only debits leaves category credits unlimited.
Case contract
Input premium, items [[category, per mille; negative is a credit]], caps {category: max abs per mille}, max_credit, max_debit. Unknown category -> 'unknown category <name>'. Items are summed per category, each category clamped to its cap, the total clamped to [-max_credit, max_debit], and premium*(1000+total)/1000 rounded half-up. Return [total, premium].
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):
per={}
for cat,v in x['items']:
if cat not in x['caps']: return 'unknown category '+cat
per[cat]=per.get(cat,0)+v
tot=0
for cat,v in sorted(per.items()):
c=x['caps'][cat]
tot+=v
tot=max(-x['max_credit'],min(x['max_debit'],tot))
return [tot, math.floor(x['premium']*Fraction(1000+tot,1000)+Fraction(1,2))]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['split credits in one category', {'premium': 589010, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 553669]], ['category cap binds on debit', {'premium': 872720, 'items': [['equipment', 30], ['equipment', 26], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 898902]], ['overall credit cap binds', {'premium': 194515, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 155612]], ['overall debit cap binds', {'premium': 730552, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 818218]], ['unknown credit category', {'premium': 820316, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 179351, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 275874, 'items': [['premises', -7], ['employees', -2], ['management', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-26, 268701]], ['no items', {'premium': 289888, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 289888]], ['credit within caps', {'premium': 802858, 'items': [['management', -31], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-38, 772349]]], [['split credits in one category', {'premium': 366527, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 344535]], ['category cap binds on debit', {'premium': 688814, 'items': [['equipment', 30], ['equipment', 27], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 709478]], ['overall credit cap binds', {'premium': 391467, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 313174]], ['overall debit cap binds', {'premium': 605730, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 678418]], ['unknown credit category', {'premium': 554487, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 377083, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 645018, 'items': [['premises', 12], ['employees', -6], ['management', 11]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [17, 655983]], ['no items', {'premium': 197679, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 197679]], ['credit within caps', {'premium': 746783, 'items': [['management', -30], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-37, 719152]]], [['split credits in one category', {'premium': 149318, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 140359]], ['category cap binds on debit', {'premium': 776580, 'items': [['equipment', 30], ['equipment', 28], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 799877]], ['overall credit cap binds', {'premium': 205836, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 164669]], ['overall debit cap binds', {'premium': 685528, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 767791]], ['unknown credit category', {'premium': 672687, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 231208, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 466715, 'items': [['premises', -26], ['employees', 7], ['management', 25]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [6, 469515]], ['no items', {'premium': 280573, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 280573]], ['credit within caps', {'premium': 847372, 'items': [['management', -15], ['employees', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-20, 830425]]], [['split credits in one category', {'premium': 259668, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 244088]], ['category cap binds on debit', {'premium': 544757, 'items': [['equipment', 30], ['equipment', 29], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 561100]], ['overall credit cap binds', {'premium': 105294, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 84235]], ['overall debit cap binds', {'premium': 228463, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 255879]], ['unknown credit category', {'premium': 336609, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 528562, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 111054, 'items': [['premises', -5], ['employees', -3], ['management', -26]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-34, 107278]], ['no items', {'premium': 432026, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 432026]], ['credit within caps', {'premium': 578818, 'items': [['management', -23], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-33, 559717]]], [['split credits in one category', {'premium': 838683, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 788362]], ['category cap binds on debit', {'premium': 190937, 'items': [['equipment', 30], ['equipment', 30], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 196665]], ['overall credit cap binds', {'premium': 878341, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 702673]], ['overall debit cap binds', {'premium': 467322, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 523401]], ['unknown credit category', {'premium': 352112, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 280978, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 150014, 'items': [['premises', 12], ['employees', -23], ['management', 12]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [1, 150164]], ['no items', {'premium': 788931, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 788931]], ['credit within caps', {'premium': 263345, 'items': [['management', -19], ['employees', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-36, 253865]]]]
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 |
|---|---|---|---|
| split credits in one category | [-75, 544834] | [-60, 553669] | Failed |
| category cap binds on debit | [46, 912865] | [30, 898902] | Failed |
| overall credit cap binds | [-200, 155612] | [-200, 155612] | Passed |
| overall debit cap binds | [120, 818218] | [120, 818218] | Passed |
| unknown credit category | unknown category weather | unknown category weather | Passed |
| unknown debit category | unknown category weather | unknown category weather | Passed |
| mixed small items | [-26, 268701] | [-26, 268701] | Passed |
| no items | [0, 289888] | [0, 289888] | Passed |
| credit within caps | [-38, 772349] | [-38, 772349] | Passed |
SHA-256 / b91fc1c39f70995254bfe6538ec66189c6a38fd1511476379f246596a1278af9
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):
per={}
for cat,v in x['items']:
if cat not in x['caps']: return 'unknown category '+cat
per[cat]=per.get(cat,0)+v
tot=0
for cat,v in sorted(per.items()):
c=x['caps'][cat]
tot+=min(c,v)
tot=max(-x['max_credit'],min(x['max_debit'],tot))
return [tot, math.floor(x['premium']*Fraction(1000+tot,1000)+Fraction(1,2))]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['split credits in one category', {'premium': 589010, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 553669]], ['category cap binds on debit', {'premium': 872720, 'items': [['equipment', 30], ['equipment', 26], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 898902]], ['overall credit cap binds', {'premium': 194515, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 155612]], ['overall debit cap binds', {'premium': 730552, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 818218]], ['unknown credit category', {'premium': 820316, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 179351, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 275874, 'items': [['premises', -7], ['employees', -2], ['management', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-26, 268701]], ['no items', {'premium': 289888, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 289888]], ['credit within caps', {'premium': 802858, 'items': [['management', -31], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-38, 772349]]], [['split credits in one category', {'premium': 366527, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 344535]], ['category cap binds on debit', {'premium': 688814, 'items': [['equipment', 30], ['equipment', 27], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 709478]], ['overall credit cap binds', {'premium': 391467, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 313174]], ['overall debit cap binds', {'premium': 605730, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 678418]], ['unknown credit category', {'premium': 554487, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 377083, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 645018, 'items': [['premises', 12], ['employees', -6], ['management', 11]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [17, 655983]], ['no items', {'premium': 197679, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 197679]], ['credit within caps', {'premium': 746783, 'items': [['management', -30], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-37, 719152]]], [['split credits in one category', {'premium': 149318, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 140359]], ['category cap binds on debit', {'premium': 776580, 'items': [['equipment', 30], ['equipment', 28], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 799877]], ['overall credit cap binds', {'premium': 205836, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 164669]], ['overall debit cap binds', {'premium': 685528, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 767791]], ['unknown credit category', {'premium': 672687, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 231208, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 466715, 'items': [['premises', -26], ['employees', 7], ['management', 25]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [6, 469515]], ['no items', {'premium': 280573, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 280573]], ['credit within caps', {'premium': 847372, 'items': [['management', -15], ['employees', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-20, 830425]]], [['split credits in one category', {'premium': 259668, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 244088]], ['category cap binds on debit', {'premium': 544757, 'items': [['equipment', 30], ['equipment', 29], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 561100]], ['overall credit cap binds', {'premium': 105294, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 84235]], ['overall debit cap binds', {'premium': 228463, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 255879]], ['unknown credit category', {'premium': 336609, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 528562, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 111054, 'items': [['premises', -5], ['employees', -3], ['management', -26]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-34, 107278]], ['no items', {'premium': 432026, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 432026]], ['credit within caps', {'premium': 578818, 'items': [['management', -23], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-33, 559717]]], [['split credits in one category', {'premium': 838683, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 788362]], ['category cap binds on debit', {'premium': 190937, 'items': [['equipment', 30], ['equipment', 30], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 196665]], ['overall credit cap binds', {'premium': 878341, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 702673]], ['overall debit cap binds', {'premium': 467322, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 523401]], ['unknown credit category', {'premium': 352112, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 280978, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 150014, 'items': [['premises', 12], ['employees', -23], ['management', 12]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [1, 150164]], ['no items', {'premium': 788931, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 788931]], ['credit within caps', {'premium': 263345, 'items': [['management', -19], ['employees', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-36, 253865]]]]
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 |
|---|---|---|---|
| split credits in one category | [-75, 544834] | [-60, 553669] | Failed |
| category cap binds on debit | [30, 898902] | [30, 898902] | Passed |
| overall credit cap binds | [-200, 155612] | [-200, 155612] | Passed |
| overall debit cap binds | [120, 818218] | [120, 818218] | Passed |
| unknown credit category | unknown category weather | unknown category weather | Passed |
| unknown debit category | unknown category weather | unknown category weather | Passed |
| mixed small items | [-26, 268701] | [-26, 268701] | Passed |
| no items | [0, 289888] | [0, 289888] | Passed |
| credit within caps | [-38, 772349] | [-38, 772349] | Passed |
SHA-256 / 488320c1064240aedff791305c14c08df951869484d9b1f33471d0435bcad64c
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
per={}
for cat,v in x['items']:
if cat not in x['caps']: return 'unknown category '+cat
per[cat]=per.get(cat,0)+v
tot=0
for cat,v in sorted(per.items()):
c=x['caps'][cat]
tot+=max(-c,min(c,v))
tot=max(-x['max_credit'],min(x['max_debit'],tot))
return [tot, math.floor(x['premium']*Fraction(1000+tot,1000)+Fraction(1,2))]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['split credits in one category', {'premium': 589010, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 553669]], ['category cap binds on debit', {'premium': 872720, 'items': [['equipment', 30], ['equipment', 26], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 898902]], ['overall credit cap binds', {'premium': 194515, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 155612]], ['overall debit cap binds', {'premium': 730552, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 818218]], ['unknown credit category', {'premium': 820316, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 179351, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 275874, 'items': [['premises', -7], ['employees', -2], ['management', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-26, 268701]], ['no items', {'premium': 289888, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 289888]], ['credit within caps', {'premium': 802858, 'items': [['management', -31], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-38, 772349]]], [['split credits in one category', {'premium': 366527, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 344535]], ['category cap binds on debit', {'premium': 688814, 'items': [['equipment', 30], ['equipment', 27], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 709478]], ['overall credit cap binds', {'premium': 391467, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 313174]], ['overall debit cap binds', {'premium': 605730, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 678418]], ['unknown credit category', {'premium': 554487, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 377083, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 645018, 'items': [['premises', 12], ['employees', -6], ['management', 11]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [17, 655983]], ['no items', {'premium': 197679, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 197679]], ['credit within caps', {'premium': 746783, 'items': [['management', -30], ['employees', -7]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-37, 719152]]], [['split credits in one category', {'premium': 149318, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 140359]], ['category cap binds on debit', {'premium': 776580, 'items': [['equipment', 30], ['equipment', 28], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 799877]], ['overall credit cap binds', {'premium': 205836, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 164669]], ['overall debit cap binds', {'premium': 685528, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 767791]], ['unknown credit category', {'premium': 672687, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 231208, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 466715, 'items': [['premises', -26], ['employees', 7], ['management', 25]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [6, 469515]], ['no items', {'premium': 280573, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 280573]], ['credit within caps', {'premium': 847372, 'items': [['management', -15], ['employees', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-20, 830425]]], [['split credits in one category', {'premium': 259668, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 244088]], ['category cap binds on debit', {'premium': 544757, 'items': [['equipment', 30], ['equipment', 29], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 561100]], ['overall credit cap binds', {'premium': 105294, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 84235]], ['overall debit cap binds', {'premium': 228463, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 255879]], ['unknown credit category', {'premium': 336609, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 528562, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 111054, 'items': [['premises', -5], ['employees', -3], ['management', -26]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-34, 107278]], ['no items', {'premium': 432026, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 432026]], ['credit within caps', {'premium': 578818, 'items': [['management', -23], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-33, 559717]]], [['split credits in one category', {'premium': 838683, 'items': [['management', -50], ['management', -45], ['premises', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-60, 788362]], ['category cap binds on debit', {'premium': 190937, 'items': [['equipment', 30], ['equipment', 30], ['employees', -10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [30, 196665]], ['overall credit cap binds', {'premium': 878341, 'items': [['premises', -50], ['employees', -60], ['management', -80], ['equipment', -40], ['premises', -5]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 200, 'max_debit': 150}, [-200, 702673]], ['overall debit cap binds', {'premium': 467322, 'items': [['premises', 50], ['employees', 60], ['management', 60]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 120}, [120, 523401]], ['unknown credit category', {'premium': 352112, 'items': [['weather', -20], ['premises', 10]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['unknown debit category', {'premium': 280978, 'items': [['weather', 20]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, 'unknown category weather'], ['mixed small items', {'premium': 150014, 'items': [['premises', 12], ['employees', -23], ['management', 12]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [1, 150164]], ['no items', {'premium': 788931, 'items': [], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [0, 788931]], ['credit within caps', {'premium': 263345, 'items': [['management', -19], ['employees', -17]], 'caps': {'premises': 50, 'employees': 60, 'management': 80, 'equipment': 40}, 'max_credit': 250, 'max_debit': 150}, [-36, 253865]]]]
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 |
|---|---|---|---|
| split credits in one category | [-60, 553669] | [-60, 553669] | Passed |
| category cap binds on debit | [30, 898902] | [30, 898902] | Passed |
| overall credit cap binds | [-200, 155612] | [-200, 155612] | Passed |
| overall debit cap binds | [120, 818218] | [120, 818218] | Passed |
| unknown credit category | unknown category weather | unknown category weather | Passed |
| unknown debit category | unknown category weather | unknown category weather | Passed |
| mixed small items | [-26, 268701] | [-26, 268701] | Passed |
| no items | [0, 289888] | [0, 289888] | Passed |
| credit within caps | [-38, 772349] | [-38, 772349] | Passed |
SHA-256 / ebfd9010dff521a690232b39999acadf971220cfa514b6480c50102e2a576f5a
Verification & scope
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 2026-09-29T14:47:10.473603+00:00.
Case digest / 100efc1a44a7bd4902ce49e497bacc1337fc50a554e4aeff7aaf110272fb8cbd