FA-66021 / Aviation weight and balance / Open access

Children counted as lap-infant carriers · case 01

A row with one adult, one child and two lap infants is accepted.

Verified by executionVariant 1 · 9 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The infant limit compares against all seated passengers instead of adults only.

VERIFIED REPAIR

Allow at most one lap infant per adult in the row.

Unsuccessful approach: Using >= rejects the normal one-adult-one-infant pairing.

Case contract

Input {'season','rows':[[arm, adults, children, lap infants]],'bags':[[arm,count]]}. Standard weights: adult 190/195, child 82/87 (summer/winter); lap infants weigh 0 (included with the adult); bags 28 lb. Rows are numbered from 1; more than 3 seated (adults+children) -> 'ERR_ROW_<n>_SEATS'; more infants than adults -> 'ERR_ROW_<n>_INFANTS'. Return [weight, moment r1].

Why this case matters

Standard passenger weights vary by season and passenger type; lap infants do not occupy seats but require an accompanying adult.

1 / The failure

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    std = {'summer': (190, 82), 'winter': (195, 87)}
    aw, cw = std[x['season']]
    w = 0
    m = 0.0
    for i, (arm, ad, ch, inf) in enumerate(x['rows'], 1):
        if ad + ch > 3: return 'ERR_ROW_%d_SEATS' % i
        if inf > ad + ch: return 'ERR_ROW_%d_INFANTS' % i
        rw = ad * aw + ch * cw
        w += rw
        m += rw * arm
    for arm, count in x['bags']:
        w += count * 28
        m += count * 28 * arm
    return [w, round(m, 1)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 5]]}, [1526, 246660.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 1]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[131.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 91470.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 10]]}, [280, 78400.0]], ['sampled case 1', {'season': 'winter', 'rows': [[123.2, 3, 0, 2], [224.7, 2, 0, 1], [209.0, 3, 0, 3], [101.5, 0, 3, 0], [123.7, 3, 0, 1]], 'bags': [[76.1, 1], [114.8, 0]]}, [2434, 382956.8]], ['sampled case 2', {'season': 'winter', 'rows': [[232.3, 0, 3, 0], [166.7, 1, 2, 1], [113.6, 2, 0, 0], [181.7, 2, 1, 0]], 'bags': []}, [1497, 253117.5]], ['sampled case 3', {'season': 'winter', 'rows': [[190.7, 1, 2, 1], [134.2, 1, 1, 0]], 'bags': []}, [651, 108212.7]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 6]]}, [1472, 240300.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 2]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[132.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92040.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 20]]}, [560, 156800.0]], ['sampled case 1', {'season': 'winter', 'rows': [[207.9, 3, 3, 2], [166.6, 2, 1, 1], [191.5, 2, 1, 3]], 'bags': [[191.7, 3]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[239.0, 3, 0, 3], [126.1, 3, 0, 0], [248.5, 0, 3, 0], [203.8, 0, 1, 0]], 'bags': []}, [1468, 285949.6]], ['sampled case 3', {'season': 'summer', 'rows': [[112.7, 1, 0, 2], [246.6, 1, 1, 0]], 'bags': []}, 'ERR_ROW_1_INFANTS']], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 7]]}, [1582, 263460.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 3]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[133.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92610.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 30]]}, [840, 235200.0]], ['sampled case 1', {'season': 'winter', 'rows': [[247.7, 2, 3, 0]], 'bags': [[219.7, 7]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'winter', 'rows': [[186.6, 3, 0, 2]], 'bags': [[127.2, 7]]}, [781, 134092.2]], ['sampled case 3', {'season': 'winter', 'rows': [[112.7, 0, 3, 0], [159.8, 1, 0, 1], [131.3, 2, 1, 2], [112.7, 3, 0, 0]], 'bags': []}, [1518, 189135.3]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 8]]}, [1528, 257100.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 4]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[134.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93180.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 40]]}, [1120, 313600.0]], ['sampled case 1', {'season': 'winter', 'rows': [[121.9, 2, 0, 0], [208.1, 0, 0, 0]], 'bags': [[285.3, 11]]}, [698, 135413.4]], ['sampled case 2', {'season': 'summer', 'rows': [[192.5, 1, 2, 1], [210.4, 0, 1, 0], [164.1, 3, 0, 3], [177.2, 1, 1, 1]], 'bags': []}, [1278, 227133.2]], ['sampled case 3', {'season': 'summer', 'rows': [[129.9, 2, 1, 0], [217.8, 2, 0, 1], [102.4, 0, 1, 0], [102.1, 2, 0, 0], [219.8, 2, 1, 2]], 'bags': []}, [1766, 291520.2]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 9]]}, [1638, 280260.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 5]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[135.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93750.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 50]]}, [1400, 392000.0]], ['sampled case 1', {'season': 'summer', 'rows': [[127.4, 1, 0, 1], [239.5, 1, 2, 1], [187.1, 3, 3, 3]], 'bags': [[167.2, 12], [227.4, 2]]}, 'ERR_ROW_3_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[134.7, 0, 2, 0], [113.2, 2, 1, 1], [126.4, 0, 0, 3], [248.9, 2, 1, 1], [227.0, 1, 1, 1]], 'bags': []}, 'ERR_ROW_3_INFANTS'], ['sampled case 3', {'season': 'summer', 'rows': [[227.7, 2, 0, 2], [101.0, 1, 2, 0], [158.6, 3, 0, 3], [211.0, 1, 0, 1]], 'bags': [[271.3, 10]]}, [1774, 328736.0]]]]
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
summer mixed cabin	`[1526, 246660.0]`	`[1526, 246660.0]`	Passed
winter family rows	`[958, 139470.0]`	`[958, 139470.0]`	Passed
row full of seats	`ERR_ROW_1_SEATS`	`ERR_ROW_1_SEATS`	Passed
two lap infants one adult	`[592, 84540.0]`	`ERR_ROW_2_INFANTS`	Failed
three adults three infants	`[626, 91470.0]`	`[626, 91470.0]`	Passed
empty cabin bags only	`[280, 78400.0]`	`[280, 78400.0]`	Passed
sampled case 1	`[2434, 382956.8]`	`[2434, 382956.8]`	Passed
sampled case 2	`[1497, 253117.5]`	`[1497, 253117.5]`	Passed
sampled case 3	`[651, 108212.7]`	`[651, 108212.7]`	Passed

SHA-256 / b4bbbc56037d35f5c84ea47df5b002e4e05fa7e3600357ea4e9c3dd783c55804

2 / The unsuccessful fix

Exit 1

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    std = {'summer': (190, 82), 'winter': (195, 87)}
    aw, cw = std[x['season']]
    w = 0
    m = 0.0
    for i, (arm, ad, ch, inf) in enumerate(x['rows'], 1):
        if ad + ch > 3: return 'ERR_ROW_%d_SEATS' % i
        if inf >= ad: return 'ERR_ROW_%d_INFANTS' % i
        rw = ad * aw + ch * cw
        w += rw
        m += rw * arm
    for arm, count in x['bags']:
        w += count * 28
        m += count * 28 * arm
    return [w, round(m, 1)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 5]]}, [1526, 246660.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 1]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[131.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 91470.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 10]]}, [280, 78400.0]], ['sampled case 1', {'season': 'winter', 'rows': [[123.2, 3, 0, 2], [224.7, 2, 0, 1], [209.0, 3, 0, 3], [101.5, 0, 3, 0], [123.7, 3, 0, 1]], 'bags': [[76.1, 1], [114.8, 0]]}, [2434, 382956.8]], ['sampled case 2', {'season': 'winter', 'rows': [[232.3, 0, 3, 0], [166.7, 1, 2, 1], [113.6, 2, 0, 0], [181.7, 2, 1, 0]], 'bags': []}, [1497, 253117.5]], ['sampled case 3', {'season': 'winter', 'rows': [[190.7, 1, 2, 1], [134.2, 1, 1, 0]], 'bags': []}, [651, 108212.7]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 6]]}, [1472, 240300.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 2]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[132.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92040.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 20]]}, [560, 156800.0]], ['sampled case 1', {'season': 'winter', 'rows': [[207.9, 3, 3, 2], [166.6, 2, 1, 1], [191.5, 2, 1, 3]], 'bags': [[191.7, 3]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[239.0, 3, 0, 3], [126.1, 3, 0, 0], [248.5, 0, 3, 0], [203.8, 0, 1, 0]], 'bags': []}, [1468, 285949.6]], ['sampled case 3', {'season': 'summer', 'rows': [[112.7, 1, 0, 2], [246.6, 1, 1, 0]], 'bags': []}, 'ERR_ROW_1_INFANTS']], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 7]]}, [1582, 263460.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 3]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[133.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92610.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 30]]}, [840, 235200.0]], ['sampled case 1', {'season': 'winter', 'rows': [[247.7, 2, 3, 0]], 'bags': [[219.7, 7]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'winter', 'rows': [[186.6, 3, 0, 2]], 'bags': [[127.2, 7]]}, [781, 134092.2]], ['sampled case 3', {'season': 'winter', 'rows': [[112.7, 0, 3, 0], [159.8, 1, 0, 1], [131.3, 2, 1, 2], [112.7, 3, 0, 0]], 'bags': []}, [1518, 189135.3]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 8]]}, [1528, 257100.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 4]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[134.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93180.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 40]]}, [1120, 313600.0]], ['sampled case 1', {'season': 'winter', 'rows': [[121.9, 2, 0, 0], [208.1, 0, 0, 0]], 'bags': [[285.3, 11]]}, [698, 135413.4]], ['sampled case 2', {'season': 'summer', 'rows': [[192.5, 1, 2, 1], [210.4, 0, 1, 0], [164.1, 3, 0, 3], [177.2, 1, 1, 1]], 'bags': []}, [1278, 227133.2]], ['sampled case 3', {'season': 'summer', 'rows': [[129.9, 2, 1, 0], [217.8, 2, 0, 1], [102.4, 0, 1, 0], [102.1, 2, 0, 0], [219.8, 2, 1, 2]], 'bags': []}, [1766, 291520.2]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 9]]}, [1638, 280260.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 5]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[135.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93750.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 50]]}, [1400, 392000.0]], ['sampled case 1', {'season': 'summer', 'rows': [[127.4, 1, 0, 1], [239.5, 1, 2, 1], [187.1, 3, 3, 3]], 'bags': [[167.2, 12], [227.4, 2]]}, 'ERR_ROW_3_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[134.7, 0, 2, 0], [113.2, 2, 1, 1], [126.4, 0, 0, 3], [248.9, 2, 1, 1], [227.0, 1, 1, 1]], 'bags': []}, 'ERR_ROW_3_INFANTS'], ['sampled case 3', {'season': 'summer', 'rows': [[227.7, 2, 0, 2], [101.0, 1, 2, 0], [158.6, 3, 0, 3], [211.0, 1, 0, 1]], 'bags': [[271.3, 10]]}, [1774, 328736.0]]]]
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
summer mixed cabin	`ERR_ROW_3_INFANTS`	`[1526, 246660.0]`	Failed
winter family rows	`ERR_ROW_1_INFANTS`	`[958, 139470.0]`	Failed
row full of seats	`ERR_ROW_1_SEATS`	`ERR_ROW_1_SEATS`	Passed
two lap infants one adult	`ERR_ROW_2_INFANTS`	`ERR_ROW_2_INFANTS`	Passed
three adults three infants	`ERR_ROW_1_INFANTS`	`[626, 91470.0]`	Failed
empty cabin bags only	`[280, 78400.0]`	`[280, 78400.0]`	Passed
sampled case 1	`ERR_ROW_3_INFANTS`	`[2434, 382956.8]`	Failed
sampled case 2	`ERR_ROW_1_INFANTS`	`[1497, 253117.5]`	Failed
sampled case 3	`ERR_ROW_1_INFANTS`	`[651, 108212.7]`	Failed

SHA-256 / 30d5c2e85f8a36de73a6784303bc01aba6f9ee5424b8c87253536c8a1a410b58

3 / The verified repair

Exit 0

"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    std = {'summer': (190, 82), 'winter': (195, 87)}
    aw, cw = std[x['season']]
    w = 0
    m = 0.0
    for i, (arm, ad, ch, inf) in enumerate(x['rows'], 1):
        if ad + ch > 3: return 'ERR_ROW_%d_SEATS' % i
        if inf > ad: return 'ERR_ROW_%d_INFANTS' % i
        rw = ad * aw + ch * cw
        w += rw
        m += rw * arm
    for arm, count in x['bags']:
        w += count * 28
        m += count * 28 * arm
    return [w, round(m, 1)]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 5]]}, [1526, 246660.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 1]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[131.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 91470.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 10]]}, [280, 78400.0]], ['sampled case 1', {'season': 'winter', 'rows': [[123.2, 3, 0, 2], [224.7, 2, 0, 1], [209.0, 3, 0, 3], [101.5, 0, 3, 0], [123.7, 3, 0, 1]], 'bags': [[76.1, 1], [114.8, 0]]}, [2434, 382956.8]], ['sampled case 2', {'season': 'winter', 'rows': [[232.3, 0, 3, 0], [166.7, 1, 2, 1], [113.6, 2, 0, 0], [181.7, 2, 1, 0]], 'bags': []}, [1497, 253117.5]], ['sampled case 3', {'season': 'winter', 'rows': [[190.7, 1, 2, 1], [134.2, 1, 1, 0]], 'bags': []}, [651, 108212.7]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 6]]}, [1472, 240300.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 2]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[132.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92040.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 20]]}, [560, 156800.0]], ['sampled case 1', {'season': 'winter', 'rows': [[207.9, 3, 3, 2], [166.6, 2, 1, 1], [191.5, 2, 1, 3]], 'bags': [[191.7, 3]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[239.0, 3, 0, 3], [126.1, 3, 0, 0], [248.5, 0, 3, 0], [203.8, 0, 1, 0]], 'bags': []}, [1468, 285949.6]], ['sampled case 3', {'season': 'summer', 'rows': [[112.7, 1, 0, 2], [246.6, 1, 1, 0]], 'bags': []}, 'ERR_ROW_1_INFANTS']], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 7]]}, [1582, 263460.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 3]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[133.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 92610.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 30]]}, [840, 235200.0]], ['sampled case 1', {'season': 'winter', 'rows': [[247.7, 2, 3, 0]], 'bags': [[219.7, 7]]}, 'ERR_ROW_1_SEATS'], ['sampled case 2', {'season': 'winter', 'rows': [[186.6, 3, 0, 2]], 'bags': [[127.2, 7]]}, [781, 134092.2]], ['sampled case 3', {'season': 'winter', 'rows': [[112.7, 0, 3, 0], [159.8, 1, 0, 1], [131.3, 2, 1, 2], [112.7, 3, 0, 0]], 'bags': []}, [1518, 189135.3]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 1, 1]], 'bags': [[300.0, 8]]}, [1528, 257100.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 4]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[134.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93180.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 40]]}, [1120, 313600.0]], ['sampled case 1', {'season': 'winter', 'rows': [[121.9, 2, 0, 0], [208.1, 0, 0, 0]], 'bags': [[285.3, 11]]}, [698, 135413.4]], ['sampled case 2', {'season': 'summer', 'rows': [[192.5, 1, 2, 1], [210.4, 0, 1, 0], [164.1, 3, 0, 3], [177.2, 1, 1, 1]], 'bags': []}, [1278, 227133.2]], ['sampled case 3', {'season': 'summer', 'rows': [[129.9, 2, 1, 0], [217.8, 2, 0, 1], [102.4, 0, 1, 0], [102.1, 2, 0, 0], [219.8, 2, 1, 2]], 'bags': []}, [1766, 291520.2]]], [['summer mixed cabin', {'season': 'summer', 'rows': [[120.0, 2, 1, 0], [150.0, 3, 0, 1], [180.0, 1, 2, 1]], 'bags': [[300.0, 9]]}, [1638, 280260.0]], ['winter family rows', {'season': 'winter', 'rows': [[120.0, 2, 1, 2], [150.0, 1, 2, 1]], 'bags': [[300.0, 3], [60.0, 1]]}, [958, 139470.0]], ['row full of seats', {'season': 'summer', 'rows': [[120.0, 2, 2, 0], [150.0, 1, 0, 0]], 'bags': []}, 'ERR_ROW_1_SEATS'], ['two lap infants one adult', {'season': 'winter', 'rows': [[120.0, 1, 1, 0], [150.0, 1, 1, 2]], 'bags': [[300.0, 5]]}, 'ERR_ROW_2_INFANTS'], ['three adults three infants', {'season': 'summer', 'rows': [[135.0, 3, 0, 3]], 'bags': [[300.0, 2]]}, [626, 93750.0]], ['empty cabin bags only', {'season': 'winter', 'rows': [], 'bags': [[280.0, 50]]}, [1400, 392000.0]], ['sampled case 1', {'season': 'summer', 'rows': [[127.4, 1, 0, 1], [239.5, 1, 2, 1], [187.1, 3, 3, 3]], 'bags': [[167.2, 12], [227.4, 2]]}, 'ERR_ROW_3_SEATS'], ['sampled case 2', {'season': 'summer', 'rows': [[134.7, 0, 2, 0], [113.2, 2, 1, 1], [126.4, 0, 0, 3], [248.9, 2, 1, 1], [227.0, 1, 1, 1]], 'bags': []}, 'ERR_ROW_3_INFANTS'], ['sampled case 3', {'season': 'summer', 'rows': [[227.7, 2, 0, 2], [101.0, 1, 2, 0], [158.6, 3, 0, 3], [211.0, 1, 0, 1]], 'bags': [[271.3, 10]]}, [1774, 328736.0]]]]
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
summer mixed cabin	`[1526, 246660.0]`	`[1526, 246660.0]`	Passed
winter family rows	`[958, 139470.0]`	`[958, 139470.0]`	Passed
row full of seats	`ERR_ROW_1_SEATS`	`ERR_ROW_1_SEATS`	Passed
two lap infants one adult	`ERR_ROW_2_INFANTS`	`ERR_ROW_2_INFANTS`	Passed
three adults three infants	`[626, 91470.0]`	`[626, 91470.0]`	Passed
empty cabin bags only	`[280, 78400.0]`	`[280, 78400.0]`	Passed
sampled case 1	`[2434, 382956.8]`	`[2434, 382956.8]`	Passed
sampled case 2	`[1497, 253117.5]`	`[1497, 253117.5]`	Passed
sampled case 3	`[651, 108212.7]`	`[651, 108212.7]`	Passed

SHA-256 / 2cf53b9a8ca49b48b50e50e6af946027a844c7450dad6c7fd3acc895c393ebeb

Verification & scope

A deterministic toy loading model with stipulated constants; it is not an approved aircraft flight manual procedure and makes no claim of regulatory conformance. 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 2026-09-29T14:47:39.210984+00:00.

Case digest / ce5ef1a3c31fcb7cc810d0fa62ee8e821b51cd07ea7e6154a42057183e4faffa