FA-66126 / Aviation weight and balance / Open access

Floor pressure uses the running compartment weight · case 01

Later pieces in a compartment are flagged for floor pressure caused by earlier pieces.

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

ROOT CAUSE

The per-piece pressure divides the cumulative compartment weight by this piece footprint.

THE FAILURE

The per-piece pressure divides the cumulative compartment weight by this piece footprint.

Unsuccessful approach: Making the comparison inclusive flags pieces sitting exactly at the floor limit.

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 (tot.get(c, 0) + wt) / fp > 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 fixture	Actual	Expected	Outcome
clean load	`[]`	`[]`	Passed
dense engine part	`['PSF:FWD:0']`	`['PSF:FWD:0']`	Passed
compartment exactly full	`['PSF:BULK:1']`	`[]`	Failed
compartment overloaded	`['PSF:AFT:1', 'OVER:AFT']`	`['OVER:AFT']`	Failed
unknown and bad footprint	`['UNKNOWN:0', 'FOOTPRINT:1']`	`['UNKNOWN:0', 'FOOTPRINT:1']`	Passed
floor limit exactly met	`[]`	`[]`	Passed
sampled case 1	`['PSF:AFT:3', 'PSF:FWD:4', 'PSF:FWD:5', 'UNKNOWN:6']`	`['PSF:AFT:3', 'UNKNOWN:6']`	Failed
sampled case 2	`['UNKNOWN:0']`	`['UNKNOWN:0']`	Passed
sampled case 3	`['PSF:AFT:2', 'UNKNOWN:3']`	`['UNKNOWN:3']`	Failed

SHA-256 / 1ccab12481cd2802e17350e13355eb826b2d90fc655e006d1c18e89588e4ede7

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 / fp >= 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 fixture	Actual	Expected	Outcome
clean load	`[]`	`[]`	Passed
dense engine part	`['PSF:FWD:0']`	`['PSF:FWD:0']`	Passed
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	`['PSF:AFT:0', 'PSF:BULK:1']`	`[]`	Failed
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 / 2b6ff729c73ac407e9651d0cfa47ef565482febf3b4340991fbf664313b7ea4f

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 / cc2331d868ce3c0d428c4cade54e9ef2b7dfb7a1a8e667d48993073e7b953ac7