FA-60731 / Loyalty points ledgers / Open access
Monthly promotional bonus cap: exempt bonus and cap · case 01
Exempt promotional bonus uses up the monthly cap.
ROOT CAUSE
Exempt bonus is added to the cap counter.
VERIFIED REPAIR
Keep exempt bonus out of the cap counter.
Unsuccessful approach: Capping exempt and regular bonus together still limits exempt bonus.
Case contract
Input {cap, txns:[[yyyy-mm, base, bonus, exempt_bonus]]}. Base points are never capped. Regular bonus points are capped per calendar month: each transaction receives min(bonus, cap - bonus already awarded that month). Exempt bonus is always awarded and never uses the cap. Return {awards (base + awarded bonus + exempt per txn), total}.
Why this case matters
Member point balances, statements and the program liability depend on this ledger rule.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
used = {}
out = []
for m, base, bonus, exempt in x['txns']:
k = m
rem = x['cap'] - used.get(k, 0)
b = min(bonus, rem)
used[k] = used.get(k, 0) + b + exempt
out.append(base + b + exempt)
return {'awards': out, 'total': sum(out)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2501, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1001, 0]]}, {'awards': [5000, 1001], 'total': 6001}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 901, 0]]}, {'awards': [905, 906], 'total': 1811}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 401, 0]]}, {'awards': [2400, 601], 'total': 3001}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 301, 0]]}, {'awards': [5600, 3301], 'total': 8901}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 251], ['2024-05', 1, 90, 0]]}, {'awards': [252, 91], 'total': 343}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 101, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2502, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1002, 0]]}, {'awards': [5000, 1002], 'total': 6002}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 902, 0]]}, {'awards': [905, 907], 'total': 1812}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 402, 0]]}, {'awards': [2400, 602], 'total': 3002}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 302, 0]]}, {'awards': [5600, 3302], 'total': 8902}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 252], ['2024-05', 1, 90, 0]]}, {'awards': [253, 91], 'total': 344}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 102, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2503, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1003, 0]]}, {'awards': [5000, 1003], 'total': 6003}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 903, 0]]}, {'awards': [905, 908], 'total': 1813}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 403, 0]]}, {'awards': [2400, 603], 'total': 3003}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 303, 0]]}, {'awards': [5600, 3303], 'total': 8903}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 253], ['2024-05', 1, 90, 0]]}, {'awards': [254, 91], 'total': 345}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 103, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2504, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1004, 0]]}, {'awards': [5000, 1004], 'total': 6004}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 904, 0]]}, {'awards': [905, 909], 'total': 1814}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 404, 0]]}, {'awards': [2400, 604], 'total': 3004}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 304, 0]]}, {'awards': [5600, 3304], 'total': 8904}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 254], ['2024-05', 1, 90, 0]]}, {'awards': [255, 91], 'total': 346}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 104, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2505, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1005, 0]]}, {'awards': [5000, 1005], 'total': 6005}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 905, 0]]}, {'awards': [905, 910], 'total': 1815}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 405, 0]]}, {'awards': [2400, 605], 'total': 3005}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 305, 0]]}, {'awards': [5600, 3305], 'total': 8905}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 255], ['2024-05', 1, 90, 0]]}, {'awards': [256, 91], 'total': 347}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 105, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]]]
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 |
|---|---|---|---|
| cap within month | {'awards': [3100, 2050, 10], 'total': 5160} | {'awards': [3100, 2050, 10], 'total': 5160} | Passed |
| new month resets | {'awards': [5000, 1001], 'total': 6001} | {'awards': [5000, 1001], 'total': 6001} | Passed |
| same month next year | {'awards': [905, 906], 'total': 1811} | {'awards': [905, 906], 'total': 1811} | Passed |
| exempt promo | {'awards': [2400, 0], 'total': 2400} | {'awards': [2400, 601], 'total': 3001} | Failed |
| base never capped | {'awards': [5600, 3301], 'total': 8901} | {'awards': [5600, 3301], 'total': 8901} | Passed |
| exempt only | {'awards': [252, -150], 'total': 102} | {'awards': [252, 91], 'total': 343} | Failed |
| many small | {'awards': [101, 102, 100, 1], 'total': 304} | {'awards': [101, 102, 101, 1], 'total': 305} | Failed |
SHA-256 / 5855b4a92a8decda20deac61bc3cbd03ae621caeb96e45706a1e9b84a2991446
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
used = {}
out = []
for m, base, bonus, exempt in x['txns']:
k = m
rem = x['cap'] - used.get(k, 0)
b = min(bonus + exempt, rem)
used[k] = used.get(k, 0) + b
out.append(base + b)
return {'awards': out, 'total': sum(out)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2501, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1001, 0]]}, {'awards': [5000, 1001], 'total': 6001}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 901, 0]]}, {'awards': [905, 906], 'total': 1811}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 401, 0]]}, {'awards': [2400, 601], 'total': 3001}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 301, 0]]}, {'awards': [5600, 3301], 'total': 8901}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 251], ['2024-05', 1, 90, 0]]}, {'awards': [252, 91], 'total': 343}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 101, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2502, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1002, 0]]}, {'awards': [5000, 1002], 'total': 6002}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 902, 0]]}, {'awards': [905, 907], 'total': 1812}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 402, 0]]}, {'awards': [2400, 602], 'total': 3002}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 302, 0]]}, {'awards': [5600, 3302], 'total': 8902}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 252], ['2024-05', 1, 90, 0]]}, {'awards': [253, 91], 'total': 344}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 102, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2503, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1003, 0]]}, {'awards': [5000, 1003], 'total': 6003}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 903, 0]]}, {'awards': [905, 908], 'total': 1813}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 403, 0]]}, {'awards': [2400, 603], 'total': 3003}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 303, 0]]}, {'awards': [5600, 3303], 'total': 8903}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 253], ['2024-05', 1, 90, 0]]}, {'awards': [254, 91], 'total': 345}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 103, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2504, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1004, 0]]}, {'awards': [5000, 1004], 'total': 6004}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 904, 0]]}, {'awards': [905, 909], 'total': 1814}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 404, 0]]}, {'awards': [2400, 604], 'total': 3004}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 304, 0]]}, {'awards': [5600, 3304], 'total': 8904}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 254], ['2024-05', 1, 90, 0]]}, {'awards': [255, 91], 'total': 346}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 104, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2505, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1005, 0]]}, {'awards': [5000, 1005], 'total': 6005}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 905, 0]]}, {'awards': [905, 910], 'total': 1815}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 405, 0]]}, {'awards': [2400, 605], 'total': 3005}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 305, 0]]}, {'awards': [5600, 3305], 'total': 8905}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 255], ['2024-05', 1, 90, 0]]}, {'awards': [256, 91], 'total': 347}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 105, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]]]
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 |
|---|---|---|---|
| cap within month | {'awards': [3100, 2050, 10], 'total': 5160} | {'awards': [3100, 2050, 10], 'total': 5160} | Passed |
| new month resets | {'awards': [5000, 1001], 'total': 6001} | {'awards': [5000, 1001], 'total': 6001} | Passed |
| same month next year | {'awards': [905, 906], 'total': 1811} | {'awards': [905, 906], 'total': 1811} | Passed |
| exempt promo | {'awards': [2200, 200], 'total': 2400} | {'awards': [2400, 601], 'total': 3001} | Failed |
| base never capped | {'awards': [5600, 3301], 'total': 8901} | {'awards': [5600, 3301], 'total': 8901} | Passed |
| exempt only | {'awards': [101, 1], 'total': 102} | {'awards': [252, 91], 'total': 343} | Failed |
| many small | {'awards': [101, 102, 100, 1], 'total': 304} | {'awards': [101, 102, 101, 1], 'total': 305} | Failed |
SHA-256 / ac7e974bca69034cb889f7197b1d3dd2a765e650be262011f8bfadc32347ab41
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
used = {}
out = []
for m, base, bonus, exempt in x['txns']:
k = m
rem = x['cap'] - used.get(k, 0)
b = min(bonus, rem)
used[k] = used.get(k, 0) + b
out.append(base + b + exempt)
return {'awards': out, 'total': sum(out)}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2501, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1001, 0]]}, {'awards': [5000, 1001], 'total': 6001}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 901, 0]]}, {'awards': [905, 906], 'total': 1811}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 401, 0]]}, {'awards': [2400, 601], 'total': 3001}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 301, 0]]}, {'awards': [5600, 3301], 'total': 8901}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 251], ['2024-05', 1, 90, 0]]}, {'awards': [252, 91], 'total': 343}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 101, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2502, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1002, 0]]}, {'awards': [5000, 1002], 'total': 6002}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 902, 0]]}, {'awards': [905, 907], 'total': 1812}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 402, 0]]}, {'awards': [2400, 602], 'total': 3002}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 302, 0]]}, {'awards': [5600, 3302], 'total': 8902}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 252], ['2024-05', 1, 90, 0]]}, {'awards': [253, 91], 'total': 344}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 102, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2503, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1003, 0]]}, {'awards': [5000, 1003], 'total': 6003}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 903, 0]]}, {'awards': [905, 908], 'total': 1813}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 403, 0]]}, {'awards': [2400, 603], 'total': 3003}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 303, 0]]}, {'awards': [5600, 3303], 'total': 8903}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 253], ['2024-05', 1, 90, 0]]}, {'awards': [254, 91], 'total': 345}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 103, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2504, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1004, 0]]}, {'awards': [5000, 1004], 'total': 6004}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 904, 0]]}, {'awards': [905, 909], 'total': 1814}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 404, 0]]}, {'awards': [2400, 604], 'total': 3004}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 304, 0]]}, {'awards': [5600, 3304], 'total': 8904}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 254], ['2024-05', 1, 90, 0]]}, {'awards': [255, 91], 'total': 346}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 104, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]], [['cap within month', {'cap': 5000, 'txns': [['2024-03', 100, 3000, 0], ['2024-03', 50, 2505, 0], ['2024-03', 10, 400, 0]]}, {'awards': [3100, 2050, 10], 'total': 5160}], ['new month resets', {'cap': 5000, 'txns': [['2024-03', 0, 5000, 0], ['2024-04', 0, 1005, 0]]}, {'awards': [5000, 1005], 'total': 6005}], ['same month next year', {'cap': 1000, 'txns': [['2023-07', 5, 900, 0], ['2024-07', 5, 905, 0]]}, {'awards': [905, 910], 'total': 1815}], ['exempt promo', {'cap': 2000, 'txns': [['2024-01', 200, 1500, 700], ['2024-01', 200, 405, 0]]}, {'awards': [2400, 605], 'total': 3005}], ['base never capped', {'cap': 1000, 'txns': [['2024-02', 5000, 600, 0], ['2024-02', 3000, 305, 0]]}, {'awards': [5600, 3305], 'total': 8905}], ['exempt only', {'cap': 100, 'txns': [['2024-05', 1, 0, 255], ['2024-05', 1, 90, 0]]}, {'awards': [256, 91], 'total': 347}], ['many small', {'cap': 300, 'txns': [['2024-06', 1, 100, 0], ['2024-06', 1, 100, 1], ['2024-06', 1, 105, 0], ['2024-06', 1, 100, 0]]}, {'awards': [101, 102, 101, 1], 'total': 305}]]]
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 |
|---|---|---|---|
| cap within month | {'awards': [3100, 2050, 10], 'total': 5160} | {'awards': [3100, 2050, 10], 'total': 5160} | Passed |
| new month resets | {'awards': [5000, 1001], 'total': 6001} | {'awards': [5000, 1001], 'total': 6001} | Passed |
| same month next year | {'awards': [905, 906], 'total': 1811} | {'awards': [905, 906], 'total': 1811} | Passed |
| exempt promo | {'awards': [2400, 601], 'total': 3001} | {'awards': [2400, 601], 'total': 3001} | Passed |
| base never capped | {'awards': [5600, 3301], 'total': 8901} | {'awards': [5600, 3301], 'total': 8901} | Passed |
| exempt only | {'awards': [252, 91], 'total': 343} | {'awards': [252, 91], 'total': 343} | Passed |
| many small | {'awards': [101, 102, 101, 1], 'total': 305} | {'awards': [101, 102, 101, 1], 'total': 305} | Passed |
SHA-256 / 04b65353a5c3f310ece00e881a23156cdde5dac6c46795cc80a2a196dcd61f7e
Verification & scope
Stipulated bounded loyalty-program model with explicit toy rules; not any real program terms. 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 2026-09-29T14:46:48.343850+00:00.
Case digest / 9f33f9f18d02f82da25c0aa150fa51fe5b6bd2f5c07dacf6a461d079c98cee1a