FAILURE MAP
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FA-95556 / Shipping rate zone lookup / Open access

Hundredweight: single piece qualifies · case 01

A single heavy piece is priced at hundredweight rates.

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

ROOT CAUSE

The multi-piece requirement accepts one piece.

VERIFIED REPAIR

Require at least two pieces.

Unsuccessful approach: Requiring more than two pieces rejects legitimate two-piece shipments.

Case contract

pieces lb; each piece rounds up to a whole lb and the shipment total is their sum. Qualifies when there are at least 2 pieces, total >= 200 lb and average piece weight >= 10 lb (total >= 10*n); otherwise ["PARCEL", total]. Charge = ceil(total * cents per cwt / 100) for zone (rates list zones 2-8), at least min_piece * pieces. Return [total, charge].

Why this case matters

Hundredweight programs price qualifying multi-piece shipments by aggregate weight.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(pieces, zone, rates, min_piece):
    ws = [math.ceil(w) for w in pieces]
    total = sum(ws)
    n = len(ws)
    if n < 1 or total < 200 or total < 10 * n:
        return ['PARCEL', total]
    rate = rates[zone - 2]
    charge = -(-total * rate // 100)
    return [total, max(charge, min_piece * n)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 6', [[10, 10.4, 10.4], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 500], ['PARCEL', 32]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 36', [[160, 151], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [311, 12556]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['generated mix 8', [[11, 10.4], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 22]], ['generated mix 16', [[67.3, 67.3, 76.3], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [213, 9611]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 72', [[150, 151], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 16980]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['generated mix 19', [[66.7, 66.3], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], ['PARCEL', 134]], ['generated mix 27', [[11, 11, 1, 2, 1, 1, 2, 1.4, 1.4, 11, 2, 1.4, 11, 1.4, 2, 2, 1, 11, 2, 2, 2, 1.4, 1.4, 1, 2], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], ['PARCEL', 90]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 22', [[150, 160], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [310, 21412]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['generated mix 31', [[100.5, 99.9], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [201, 11339]], ['generated mix 39', [[40.9, 40.9, 50.5, 40.5, 40.5, 40.5, 40.5, 40.5, 50.5, 40.9, 41.5, 50.5, 40.9, 40.9, 50.5, 40.5, 50.5, 41.5, 40.5, 50.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [882, 60000]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 53', [[150, 151], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 20791]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 41', [[50.5, 50.5, 41.5, 40.9, 50.5, 50.5, 40.9, 40.9, 41.5, 50.5, 50.5, 50.5, 50.5, 40.5, 40.9, 40.9, 50.5, 40.9, 40.5, 41.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [913, 51503]], ['generated mix 49', [[67.3, 67.3], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 136]]]]
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 fixtureActualExpectedOutcome
single piece[250, 10093]['PARCEL', 250]Failed
threshold via rounding[200, 8074][200, 8074]Passed
per piece round[202, 8155][202, 8155]Passed
minimum charge[200, 10000][200, 10000]Passed
many one pound pieces['PARCEL', 210]['PARCEL', 210]Passed
two exact[200, 15110][200, 15110]Passed
light average['PARCEL', 200]['PARCEL', 200]Passed
generated mix 6['PARCEL', 32]['PARCEL', 32]Passed

SHA-256 / 4ef5dffc5293aa53397e65db090e64e36a99a8099cf0141e60643d4f83f9ebe8

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(pieces, zone, rates, min_piece):
    ws = [math.ceil(w) for w in pieces]
    total = sum(ws)
    n = len(ws)
    if n <= 2 or total < 200 or total < 10 * n:
        return ['PARCEL', total]
    rate = rates[zone - 2]
    charge = -(-total * rate // 100)
    return [total, max(charge, min_piece * n)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 6', [[10, 10.4, 10.4], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 500], ['PARCEL', 32]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 36', [[160, 151], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [311, 12556]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['generated mix 8', [[11, 10.4], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 22]], ['generated mix 16', [[67.3, 67.3, 76.3], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [213, 9611]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 72', [[150, 151], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 16980]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['generated mix 19', [[66.7, 66.3], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], ['PARCEL', 134]], ['generated mix 27', [[11, 11, 1, 2, 1, 1, 2, 1.4, 1.4, 11, 2, 1.4, 11, 1.4, 2, 2, 1, 11, 2, 2, 2, 1.4, 1.4, 1, 2], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], ['PARCEL', 90]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 22', [[150, 160], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [310, 21412]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['generated mix 31', [[100.5, 99.9], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [201, 11339]], ['generated mix 39', [[40.9, 40.9, 50.5, 40.5, 40.5, 40.5, 40.5, 40.5, 50.5, 40.9, 41.5, 50.5, 40.9, 40.9, 50.5, 40.5, 50.5, 41.5, 40.5, 50.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [882, 60000]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 53', [[150, 151], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 20791]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 41', [[50.5, 50.5, 41.5, 40.9, 50.5, 50.5, 40.9, 40.9, 41.5, 50.5, 50.5, 50.5, 50.5, 40.5, 40.9, 40.9, 50.5, 40.9, 40.5, 41.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [913, 51503]], ['generated mix 49', [[67.3, 67.3], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 136]]]]
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 fixtureActualExpectedOutcome
single piece['PARCEL', 250]['PARCEL', 250]Passed
threshold via rounding['PARCEL', 200][200, 8074]Failed
per piece round['PARCEL', 202][202, 8155]Failed
minimum charge['PARCEL', 200][200, 10000]Failed
many one pound pieces['PARCEL', 210]['PARCEL', 210]Passed
two exact['PARCEL', 200][200, 15110]Failed
light average['PARCEL', 200]['PARCEL', 200]Passed
generated mix 6['PARCEL', 32]['PARCEL', 32]Passed

SHA-256 / 5fc98166612a6dbee7d3a648cda97df8820f0a78f4e82fe99e95d03b7cbaeeb7

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json
import math
N = 1
observations = []
def solve(pieces, zone, rates, min_piece):
    ws = [math.ceil(w) for w in pieces]
    total = sum(ws)
    n = len(ws)
    if n < 2 or total < 200 or total < 10 * n:
        return ['PARCEL', total]
    rate = rates[zone - 2]
    charge = -(-total * rate // 100)
    return [total, max(charge, min_piece * n)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 6', [[10, 10.4, 10.4], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 500], ['PARCEL', 32]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 36', [[160, 151], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [311, 12556]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['generated mix 8', [[11, 10.4], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 22]], ['generated mix 16', [[67.3, 67.3, 76.3], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [213, 9611]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 72', [[150, 151], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 16980]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['generated mix 19', [[66.7, 66.3], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], ['PARCEL', 134]], ['generated mix 27', [[11, 11, 1, 2, 1, 1, 2, 1.4, 1.4, 11, 2, 1.4, 11, 1.4, 2, 2, 1, 11, 2, 2, 2, 1.4, 1.4, 1, 2], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], ['PARCEL', 90]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 22', [[150, 160], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [310, 21412]], ['threshold via rounding', [[99.5, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 8074]], ['minimum charge', [[100, 100], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 5000], [200, 10000]], ['many one pound pieces', [[120, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 4, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], ['PARCEL', 210]], ['two exact', [[100, 100], 8, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [200, 15110]], ['generated mix 31', [[100.5, 99.9], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [201, 11339]], ['generated mix 39', [[40.9, 40.9, 50.5, 40.5, 40.5, 40.5, 40.5, 40.5, 50.5, 40.9, 41.5, 50.5, 40.9, 40.9, 50.5, 40.5, 50.5, 41.5, 40.5, 50.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 3000], [882, 60000]]], [['single piece', [[250], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 250]], ['generated mix 53', [[150, 151], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 6000], [301, 20791]], ['average exactly 10', [[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 3, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [200, 9024]], ['rounded pieces reach average', [[9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2, 9.2], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 100], [250, 14103]], ['per piece round', [[100.2, 100.2], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [202, 8155]], ['light average', [[150, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 200]], ['generated mix 41', [[50.5, 50.5, 41.5, 40.9, 50.5, 50.5, 40.9, 40.9, 41.5, 50.5, 50.5, 50.5, 50.5, 40.5, 40.9, 40.9, 50.5, 40.9, 40.5, 41.5], 5, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], [913, 51503]], ['generated mix 49', [[67.3, 67.3], 7, [4037, 4512, 5093, 5641, 6218, 6907, 7555], 1500], ['PARCEL', 136]]]]
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 fixtureActualExpectedOutcome
single piece['PARCEL', 250]['PARCEL', 250]Passed
threshold via rounding[200, 8074][200, 8074]Passed
per piece round[202, 8155][202, 8155]Passed
minimum charge[200, 10000][200, 10000]Passed
many one pound pieces['PARCEL', 210]['PARCEL', 210]Passed
two exact[200, 15110][200, 15110]Passed
light average['PARCEL', 200]['PARCEL', 200]Passed
generated mix 6['PARCEL', 32]['PARCEL', 32]Passed

SHA-256 / 0a587c7181a6d604aa9a8eb102eeb5741d6f5e96307c2ba1c7e63c2f0ea9b3ff

Verification & scope

Stipulated qualification and rate rules. 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 2026-09-29T14:52:14.787372+00:00.

Case digest / 701754d550e1e2bd97a861eb47ef77273a94dcd8e6039ae479e71a6de226e967