FAILURE MAP
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FA-66116 / Aviation weight and balance / Open access

Floor pressure computed over the whole compartment floor · case 01

A heavy engine on a small skid passes the floor-loading check.

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

ROOT CAUSE

Piece weight is divided by the compartment floor area instead of the piece footprint.

THE FAILURE

Piece weight is divided by the compartment floor area instead of the piece footprint.

Unsuccessful approach: Assuming a minimum footprint of a tenth of the floor still under-reports pressure from small skids.

Case contract

Input {'compartments':{name:[max lb, area sqft, max lb/sqft]},'pieces':[[compartment, lb, footprint sqft]]}. Per piece in order: unknown compartment -> 'UNKNOWN:i'; footprint <= 0 -> 'FOOTPRINT:i'; both exclude the piece from totals. Piece weight/footprint above the floor limit -> 'PSF:c:i' (piece still loaded). Then per compartment in sorted order, total above max -> 'OVER:c'. i is the zero-based index in the whole piece list.

Why this case matters

Hold loading is limited both by total compartment weight and by floor bearing pressure under each individual piece.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    comps = x['compartments']
    tot = {}
    out = []
    for i, (c, wt, fp) in enumerate(x['pieces']):
        if c not in comps:
            out.append('UNKNOWN:%d' % i)
            continue
        if fp <= 0:
            out.append('FOOTPRINT:%d' % i)
            continue
        if wt / comps[c][1] > comps[c][2]:
            out.append('PSF:%s:%d' % (c, i))
        tot[c] = tot.get(c, 0) + wt
    for c in sorted(tot):
        if tot[c] > comps[c][0]:
            out.append('OVER:%s' % c)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 5.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.1], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1001, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 151, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 50, 1.0]]}, []], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 200, 13.8], ['FWD', 590, 13.1], ['AFT', 390, 8.0], ['AFT', 970, 10.3], ['FWD', 320, 5.7], ['FWD', 50, 0.6], ['MID', 840, 14.1]]}, ['PSF:AFT:3', 'UNKNOWN:6']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 650, 0.0]]}, ['UNKNOWN:0']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 790, 8.8], ['FWD', 1180, 13.1], ['AFT', 770, 12.8], ['MID', 1020, 6.5]]}, ['UNKNOWN:3']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 6.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.2], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1002, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 152, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 100, 1.0]]}, []], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 400, 0.0], ['BULK', 270, 6.4], ['FWD', 420, 0.0], ['AFT', 300, 3.3], ['MID', 190, 3.2], ['AFT', 690, 12.9]]}, ['FOOTPRINT:0', 'FOOTPRINT:2', 'PSF:AFT:3', 'UNKNOWN:4']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 650, 0.0], ['MID', 930, 7.9], ['MID', 80, 0.0], ['BULK', 30, 0.3]]}, ['UNKNOWN:0', 'UNKNOWN:1', 'UNKNOWN:2', 'PSF:BULK:3']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 580, 0.0], ['AFT', 780, 9.4], ['FWD', 860, 0.0], ['BULK', 630, 0.0]]}, ['FOOTPRINT:0', 'FOOTPRINT:2', 'FOOTPRINT:3']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 7.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.3], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1003, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 153, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 150, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 750, 0.0]]}, ['FOOTPRINT:0']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 80, 0.9], ['BULK', 60, 11.6]]}, []], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 990, 11.5], ['FWD', 920, 14.9], ['FWD', 400, 5.3], ['FWD', 820, 0.0], ['MID', 260, 0.8]]}, ['PSF:BULK:0', 'FOOTPRINT:3', 'UNKNOWN:4', 'OVER:BULK']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 8.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.4], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1004, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 154, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 200, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 630, 9.8], ['FWD', 1030, 17.2], ['BULK', 900, 0.0], ['FWD', 650, 10.8], ['FWD', 960, 16.0], ['BULK', 480, 5.3]]}, ['PSF:BULK:0', 'FOOTPRINT:2', 'PSF:BULK:5', 'OVER:BULK', 'OVER:FWD']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 190, 11.6], ['BULK', 360, 4.0]]}, ['PSF:BULK:1']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 1190, 9.0], ['AFT', 470, 4.7]]}, ['UNKNOWN:0', 'PSF:AFT:1']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 9.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.5], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1005, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 155, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 250, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 910, 0.0], ['AFT', 890, 1.7], ['FWD', 750, 8.3], ['FWD', 1060, 17.7], ['AFT', 160, 0.0], ['AFT', 1180, 19.7], ['BULK', 440, 5.9]]}, ['FOOTPRINT:0', 'PSF:AFT:1', 'FOOTPRINT:4', 'PSF:BULK:6', 'OVER:FWD']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 290, 12.8], ['FWD', 660, 0.0], ['BULK', 170, 8.9], ['FWD', 590, 6.6], ['AFT', 520, 5.2], ['FWD', 460, 8.4], ['BULK', 60, 0.6]]}, ['FOOTPRINT:1', 'PSF:AFT:4', 'PSF:BULK:6']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 900, 10.0], ['FWD', 1020, 11.3], ['AFT', 410, 6.8], ['MID', 280, 0.9], ['AFT', 770, 0.0], ['MID', 560, 0.0], ['FWD', 990, 16.5]]}, ['UNKNOWN:0', 'UNKNOWN:3', 'FOOTPRINT:4', 'UNKNOWN:5', 'OVER:FWD']]]]
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
clean load[][]Passed
dense engine part[]['PSF:FWD:0']Failed
compartment exactly full[][]Passed
compartment overloaded['OVER:AFT']['OVER:AFT']Passed
unknown and bad footprint['UNKNOWN:0', 'FOOTPRINT:1']['UNKNOWN:0', 'FOOTPRINT:1']Passed
floor limit exactly met[][]Passed
sampled case 1['UNKNOWN:6']['PSF:AFT:3', 'UNKNOWN:6']Failed
sampled case 2['UNKNOWN:0']['UNKNOWN:0']Passed
sampled case 3['UNKNOWN:3']['UNKNOWN:3']Passed

SHA-256 / cd0effd9a3797dcb49e0b5b60bfcb10ca2c601470d20a7b353051ccdf2893fda

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    comps = x['compartments']
    tot = {}
    out = []
    for i, (c, wt, fp) in enumerate(x['pieces']):
        if c not in comps:
            out.append('UNKNOWN:%d' % i)
            continue
        if fp <= 0:
            out.append('FOOTPRINT:%d' % i)
            continue
        if wt / max(fp, comps[c][1] / 10) > comps[c][2]:
            out.append('PSF:%s:%d' % (c, i))
        tot[c] = tot.get(c, 0) + wt
    for c in sorted(tot):
        if tot[c] > comps[c][0]:
            out.append('OVER:%s' % c)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 5.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.1], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1001, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 151, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 50, 1.0]]}, []], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 200, 13.8], ['FWD', 590, 13.1], ['AFT', 390, 8.0], ['AFT', 970, 10.3], ['FWD', 320, 5.7], ['FWD', 50, 0.6], ['MID', 840, 14.1]]}, ['PSF:AFT:3', 'UNKNOWN:6']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 650, 0.0]]}, ['UNKNOWN:0']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 790, 8.8], ['FWD', 1180, 13.1], ['AFT', 770, 12.8], ['MID', 1020, 6.5]]}, ['UNKNOWN:3']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 6.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.2], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1002, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 152, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 100, 1.0]]}, []], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 400, 0.0], ['BULK', 270, 6.4], ['FWD', 420, 0.0], ['AFT', 300, 3.3], ['MID', 190, 3.2], ['AFT', 690, 12.9]]}, ['FOOTPRINT:0', 'FOOTPRINT:2', 'PSF:AFT:3', 'UNKNOWN:4']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 650, 0.0], ['MID', 930, 7.9], ['MID', 80, 0.0], ['BULK', 30, 0.3]]}, ['UNKNOWN:0', 'UNKNOWN:1', 'UNKNOWN:2', 'PSF:BULK:3']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 580, 0.0], ['AFT', 780, 9.4], ['FWD', 860, 0.0], ['BULK', 630, 0.0]]}, ['FOOTPRINT:0', 'FOOTPRINT:2', 'FOOTPRINT:3']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 7.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.3], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1003, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 153, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 150, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 750, 0.0]]}, ['FOOTPRINT:0']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 80, 0.9], ['BULK', 60, 11.6]]}, []], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 990, 11.5], ['FWD', 920, 14.9], ['FWD', 400, 5.3], ['FWD', 820, 0.0], ['MID', 260, 0.8]]}, ['PSF:BULK:0', 'FOOTPRINT:3', 'UNKNOWN:4', 'OVER:BULK']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 8.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.4], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1004, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 154, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 200, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 630, 9.8], ['FWD', 1030, 17.2], ['BULK', 900, 0.0], ['FWD', 650, 10.8], ['FWD', 960, 16.0], ['BULK', 480, 5.3]]}, ['PSF:BULK:0', 'FOOTPRINT:2', 'PSF:BULK:5', 'OVER:BULK', 'OVER:FWD']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 190, 11.6], ['BULK', 360, 4.0]]}, ['PSF:BULK:1']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 1190, 9.0], ['AFT', 470, 4.7]]}, ['UNKNOWN:0', 'PSF:AFT:1']]], [['clean load', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 400, 8.0], ['AFT', 900, 12.0], ['BULK', 200, 9.0]]}, []], ['dense engine part', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['FWD', 300, 2.5], ['FWD', 500, 10.0]]}, ['PSF:FWD:0']], ['compartment exactly full', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['BULK', 500, 10.0], ['BULK', 300, 6.0]]}, []], ['compartment overloaded', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 1200, 20.0], ['AFT', 1005, 20.0], ['FWD', 100, 2.0]]}, ['OVER:AFT']], ['unknown and bad footprint', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 100, 2.0], ['BULK', 700, 0.0], ['BULK', 155, 3.0]]}, ['UNKNOWN:0', 'FOOTPRINT:1']], ['floor limit exactly met', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 450, 5.0], ['BULK', 120, 2.0], ['FWD', 250, 1.0]]}, ['PSF:FWD:2']], ['sampled case 1', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 910, 0.0], ['AFT', 890, 1.7], ['FWD', 750, 8.3], ['FWD', 1060, 17.7], ['AFT', 160, 0.0], ['AFT', 1180, 19.7], ['BULK', 440, 5.9]]}, ['FOOTPRINT:0', 'PSF:AFT:1', 'FOOTPRINT:4', 'PSF:BULK:6', 'OVER:FWD']], ['sampled case 2', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['AFT', 290, 12.8], ['FWD', 660, 0.0], ['BULK', 170, 8.9], ['FWD', 590, 6.6], ['AFT', 520, 5.2], ['FWD', 460, 8.4], ['BULK', 60, 0.6]]}, ['FOOTPRINT:1', 'PSF:AFT:4', 'PSF:BULK:6']], ['sampled case 3', {'compartments': {'FWD': [1500, 40.0, 100.0], 'AFT': [2200, 55.0, 90.0], 'BULK': [800, 20.0, 60.0]}, 'pieces': [['MID', 900, 10.0], ['FWD', 1020, 11.3], ['AFT', 410, 6.8], ['MID', 280, 0.9], ['AFT', 770, 0.0], ['MID', 560, 0.0], ['FWD', 990, 16.5]]}, ['UNKNOWN:0', 'UNKNOWN:3', 'FOOTPRINT:4', 'UNKNOWN:5', 'OVER:FWD']]]]
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
clean load[][]Passed
dense engine part[]['PSF:FWD:0']Failed
compartment exactly full[][]Passed
compartment overloaded['OVER:AFT']['OVER:AFT']Passed
unknown and bad footprint['UNKNOWN:0', 'FOOTPRINT:1']['UNKNOWN:0', 'FOOTPRINT:1']Passed
floor limit exactly met[][]Passed
sampled case 1['PSF:AFT:3', 'UNKNOWN:6']['PSF:AFT:3', 'UNKNOWN:6']Passed
sampled case 2['UNKNOWN:0']['UNKNOWN:0']Passed
sampled case 3['UNKNOWN:3']['UNKNOWN:3']Passed

SHA-256 / 0e3c98772e1a9f807ac6eedfe798f1f052fbea611a07dc92a19e3d2dfc55f0ce

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 9 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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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 2026-09-29T14:47:40.419034+00:00.

Case digest / 73190df34a8d7257996b7b3cc6a0f40820428e3a17224d1342b9dc48cf77d5e2