FA-60361 / Loyalty points ledgers / Open access
Order points earning: tier multiplier base · case 01
Silver and gold members receive tier points computed from cents rather than base points, off by fractional points.
ROOT CAUSE
The tier percentage is applied to eligible cents and floored once, skipping the base-point floor.
VERIFIED REPAIR
Apply the tier percentage to floored base points.
Unsuccessful approach: Rounding the tier product to nearest instead of floor over-awards fractional points.
Case contract
Input {lines:[{cat,amount cents}], tax, shipping, tier, promo:{cat:multiplier}}. Eligible spend = non-giftcard line amounts (tax and shipping never earn). Eligible spend below 500 cents earns nothing. Base = floor(eligible/100) computed once per order. Tier points = floor(base*pct/100) with pct base 100, silver 125, gold 150. Promo bonus per non-giftcard category = floor(category spend/100)*(multiplier-1); the order bonus is capped at 1000. Return {base, tier, bonus, 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):
elig = sum(l['amount'] for l in x['lines'] if l['cat'] != 'giftcard')
if elig < 500:
return {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}
base = elig // 100
tier = elig * {'base': 100, 'silver': 125, 'gold': 150}[x['tier']] // 10000
bonus = 0
for cat, mult in sorted(x['promo'].items()):
if cat == 'giftcard':
continue
amt = sum(l['amount'] for l in x['lines'] if l['cat'] == cat)
bonus += (amt // 100) * (mult - 1)
bonus = min(bonus, 1000)
return {'base': base, 'tier': tier, 'bonus': bonus, 'total': tier + bonus}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['plain order', {'lines': [{'cat': 'grocery', 'amount': 2350}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 851}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1399}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 13, 'tier': 16, 'bonus': 0, 'total': 16}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 41, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 2500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 61000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 620, 'tier': 620, 'bonus': 1000, 'total': 1620}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 200}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3326}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2351}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 852}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1499}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 14, 'tier': 17, 'bonus': 0, 'total': 17}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 42, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 5000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 62000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 630, 'tier': 630, 'bonus': 1000, 'total': 1630}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 201}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3327}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2352}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 853}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1599}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 15, 'tier': 18, 'bonus': 0, 'total': 18}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 43, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 7500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 63000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 640, 'tier': 640, 'bonus': 1000, 'total': 1640}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 202}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3328}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2353}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 854}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1699}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 16, 'tier': 20, 'bonus': 0, 'total': 20}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 44, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 10000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 64000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 650, 'tier': 650, 'bonus': 1000, 'total': 1650}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 203}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3329}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2354}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 855}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1799}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 17, 'tier': 21, 'bonus': 0, 'total': 21}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 45, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 12500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 65000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 660, 'tier': 660, 'bonus': 1000, 'total': 1660}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 204}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3330}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]]]
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 |
|---|---|---|---|
| plain order | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | Passed |
| gold with promo | {'base': 159, 'bonus': 300, 'tier': 239, 'total': 539} | {'base': 159, 'bonus': 300, 'tier': 238, 'total': 538} | Failed |
| gift card excluded | {'base': 13, 'bonus': 0, 'tier': 17, 'total': 17} | {'base': 13, 'bonus': 0, 'tier': 16, 'total': 16} | Failed |
| below minimum | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | Passed |
| at minimum | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | Passed |
| bonus cap | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | Passed |
| cents across lines | {'base': 7, 'bonus': 1, 'tier': 9, 'total': 10} | {'base': 7, 'bonus': 1, 'tier': 8, 'total': 9} | Failed |
| two promos | {'base': 78, 'bonus': 144, 'tier': 118, 'total': 262} | {'base': 78, 'bonus': 144, 'tier': 117, 'total': 261} | Failed |
SHA-256 / 71c7ce8475a665f4f641dfc9e522a570fef85c5528d48d7cc423d318e5a870fc
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
elig = sum(l['amount'] for l in x['lines'] if l['cat'] != 'giftcard')
if elig < 500:
return {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}
base = elig // 100
tier = (base * {'base': 100, 'silver': 125, 'gold': 150}[x['tier']] + 50) // 100
bonus = 0
for cat, mult in sorted(x['promo'].items()):
if cat == 'giftcard':
continue
amt = sum(l['amount'] for l in x['lines'] if l['cat'] == cat)
bonus += (amt // 100) * (mult - 1)
bonus = min(bonus, 1000)
return {'base': base, 'tier': tier, 'bonus': bonus, 'total': tier + bonus}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['plain order', {'lines': [{'cat': 'grocery', 'amount': 2350}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 851}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1399}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 13, 'tier': 16, 'bonus': 0, 'total': 16}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 41, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 2500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 61000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 620, 'tier': 620, 'bonus': 1000, 'total': 1620}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 200}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3326}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2351}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 852}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1499}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 14, 'tier': 17, 'bonus': 0, 'total': 17}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 42, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 5000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 62000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 630, 'tier': 630, 'bonus': 1000, 'total': 1630}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 201}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3327}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2352}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 853}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1599}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 15, 'tier': 18, 'bonus': 0, 'total': 18}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 43, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 7500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 63000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 640, 'tier': 640, 'bonus': 1000, 'total': 1640}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 202}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3328}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2353}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 854}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1699}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 16, 'tier': 20, 'bonus': 0, 'total': 20}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 44, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 10000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 64000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 650, 'tier': 650, 'bonus': 1000, 'total': 1650}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 203}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3329}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2354}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 855}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1799}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 17, 'tier': 21, 'bonus': 0, 'total': 21}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 45, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 12500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 65000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 660, 'tier': 660, 'bonus': 1000, 'total': 1660}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 204}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3330}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]]]
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 |
|---|---|---|---|
| plain order | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | Passed |
| gold with promo | {'base': 159, 'bonus': 300, 'tier': 239, 'total': 539} | {'base': 159, 'bonus': 300, 'tier': 238, 'total': 538} | Failed |
| gift card excluded | {'base': 13, 'bonus': 0, 'tier': 16, 'total': 16} | {'base': 13, 'bonus': 0, 'tier': 16, 'total': 16} | Passed |
| below minimum | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | Passed |
| at minimum | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | Passed |
| bonus cap | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | Passed |
| cents across lines | {'base': 7, 'bonus': 1, 'tier': 9, 'total': 10} | {'base': 7, 'bonus': 1, 'tier': 8, 'total': 9} | Failed |
| two promos | {'base': 78, 'bonus': 144, 'tier': 117, 'total': 261} | {'base': 78, 'bonus': 144, 'tier': 117, 'total': 261} | Passed |
SHA-256 / dc909911b0a5d257c1f8ce548c82971cfade759671a610e7a05cda8435a1fb77
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
elig = sum(l['amount'] for l in x['lines'] if l['cat'] != 'giftcard')
if elig < 500:
return {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}
base = elig // 100
tier = base * {'base': 100, 'silver': 125, 'gold': 150}[x['tier']] // 100
bonus = 0
for cat, mult in sorted(x['promo'].items()):
if cat == 'giftcard':
continue
amt = sum(l['amount'] for l in x['lines'] if l['cat'] == cat)
bonus += (amt // 100) * (mult - 1)
bonus = min(bonus, 1000)
return {'base': base, 'tier': tier, 'bonus': bonus, 'total': tier + bonus}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['plain order', {'lines': [{'cat': 'grocery', 'amount': 2350}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 851}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1399}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 13, 'tier': 16, 'bonus': 0, 'total': 16}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 41, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 2500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 61000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 620, 'tier': 620, 'bonus': 1000, 'total': 1620}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 200}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3326}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2351}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 852}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1499}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 14, 'tier': 17, 'bonus': 0, 'total': 17}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 42, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 5000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 62000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 630, 'tier': 630, 'bonus': 1000, 'total': 1630}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 201}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3327}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2352}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 853}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1599}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 15, 'tier': 18, 'bonus': 0, 'total': 18}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 43, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 7500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 63000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 640, 'tier': 640, 'bonus': 1000, 'total': 1640}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 202}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 7, 'tier': 8, 'bonus': 1, 'total': 9}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3328}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2353}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 854}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1699}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 16, 'tier': 20, 'bonus': 0, 'total': 20}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 44, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 10000}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 64000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 650, 'tier': 650, 'bonus': 1000, 'total': 1650}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 203}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3329}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]], [['plain order', {'lines': [{'cat': 'grocery', 'amount': 2354}, {'cat': 'home', 'amount': 1575}], 'tax': 300, 'shipping': 499, 'tier': 'base', 'promo': {}}, {'base': 39, 'tier': 39, 'bonus': 0, 'total': 39}], ['gold with promo', {'lines': [{'cat': 'electronics', 'amount': 15099}, {'cat': 'grocery', 'amount': 855}], 'tax': 1200, 'shipping': 0, 'tier': 'gold', 'promo': {'electronics': 3}}, {'base': 159, 'tier': 238, 'bonus': 300, 'total': 538}], ['gift card excluded', {'lines': [{'cat': 'giftcard', 'amount': 5000}, {'cat': 'toys', 'amount': 1799}], 'tax': 100, 'shipping': 0, 'tier': 'silver', 'promo': {'giftcard': 5}}, {'base': 17, 'tier': 21, 'bonus': 0, 'total': 21}], ['below minimum', {'lines': [{'cat': 'toys', 'amount': 499}], 'tax': 45, 'shipping': 800, 'tier': 'gold', 'promo': {}}, {'base': 0, 'tier': 0, 'bonus': 0, 'total': 0}], ['at minimum', {'lines': [{'cat': 'toys', 'amount': 500}, {'cat': 'giftcard', 'amount': 12500}], 'tax': 40, 'shipping': 0, 'tier': 'silver', 'promo': {}}, {'base': 5, 'tier': 6, 'bonus': 0, 'total': 6}], ['bonus cap', {'lines': [{'cat': 'travel', 'amount': 65000}, {'cat': 'travel', 'amount': 1050}], 'tax': 0, 'shipping': 0, 'tier': 'base', 'promo': {'travel': 3, 'food': 2}}, {'base': 660, 'tier': 660, 'bonus': 1000, 'total': 1660}], ['cents across lines', {'lines': [{'cat': 'a', 'amount': 199}, {'cat': 'b', 'amount': 199}, {'cat': 'c', 'amount': 199}, {'cat': 'd', 'amount': 204}], 'tax': 0, 'shipping': 0, 'tier': 'silver', 'promo': {'b': 2}}, {'base': 8, 'tier': 10, 'bonus': 1, 'total': 11}], ['two promos', {'lines': [{'cat': 'shoes', 'amount': 4550}, {'cat': 'bags', 'amount': 3330}], 'tax': 500, 'shipping': 700, 'tier': 'gold', 'promo': {'shoes': 2, 'bags': 4}}, {'base': 78, 'tier': 117, 'bonus': 144, 'total': 261}]]]
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 |
|---|---|---|---|
| plain order | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | {'base': 39, 'bonus': 0, 'tier': 39, 'total': 39} | Passed |
| gold with promo | {'base': 159, 'bonus': 300, 'tier': 238, 'total': 538} | {'base': 159, 'bonus': 300, 'tier': 238, 'total': 538} | Passed |
| gift card excluded | {'base': 13, 'bonus': 0, 'tier': 16, 'total': 16} | {'base': 13, 'bonus': 0, 'tier': 16, 'total': 16} | Passed |
| below minimum | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | {'base': 0, 'bonus': 0, 'tier': 0, 'total': 0} | Passed |
| at minimum | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | {'base': 5, 'bonus': 0, 'tier': 6, 'total': 6} | Passed |
| bonus cap | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | {'base': 620, 'bonus': 1000, 'tier': 620, 'total': 1620} | Passed |
| cents across lines | {'base': 7, 'bonus': 1, 'tier': 8, 'total': 9} | {'base': 7, 'bonus': 1, 'tier': 8, 'total': 9} | Passed |
| two promos | {'base': 78, 'bonus': 144, 'tier': 117, 'total': 261} | {'base': 78, 'bonus': 144, 'tier': 117, 'total': 261} | Passed |
SHA-256 / 15f636ae2efe91fbdf41c1991d49e2dec00ae20628f8e40d786b7be8befb6784
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 2026-09-29T14:46:44.874475+00:00.
Case digest / 578445de732ba927a6ee60a71c90718a20cc549044e851252ff54e6e34c5229f