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FA-66286 / Aviation weight and balance / Open access

Combined position limit compared with the heaviest member · case 01

Two side-by-side containers each under their own limit but over the pair limit are accepted.

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

ROOT CAUSE

The combined group uses the maximum member load instead of the sum.

THE FAILURE

The combined group uses the maximum member load instead of the sum.

Unsuccessful approach: Doubling the heaviest member assumes symmetric loading and misstates asymmetric pairs and four-position blocks.

Case contract

Input {'limits':{position: max kg},'combined':[[[positions], max kg]],'loads':{position: kg}}. Positions are visited in sorted order: unknown -> 'UNKNOWN:p', above its own limit -> 'POS:p'. Then each combined group in given order whose summed load (absent positions count 0) exceeds its cap -> 'COMB:a+b'. Limits are inclusive.

Why this case matters

Unit load device positions have individual limits and shared limits for side-by-side or zonal groups that constrain their sum.

1 / The failure

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

N = 1
observations = []
def solve(x):
    lim = x['limits']
    loads = x['loads']
    out = []
    for pos in sorted(loads):
        if pos not in lim:
            out.append('UNKNOWN:' + pos)
        elif loads[pos] > lim[pos]:
            out.append('POS:' + pos)
    for members, cap in x['combined']:
        tot = max(loads.get(p, 0) for p in members)
        if tot > cap:
            out.append('COMB:' + '+'.join(members))
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1110, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1301}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1601, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2001, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1251}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 3000, '21P': 4600, '11L': 1500, '13L': 1000, '12L': 0, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 0, '12L': 1320, '13L': 380, '12R': 0, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'21P': 4600, '12R': 1500, '11R': 1500, '11L': 1500, '12L': 0}}, ['COMB:11L+11R']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1120, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1302}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1602, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2002, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1252}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11R': 610}}, []], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1500, '13L': 250, '11R': 0}}, ['UNKNOWN:13L']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 0}}, []]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1130, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1303}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1603, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2003, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1253}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1500}}, []], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 240, '11L': 0}}, []], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1760, '13L': 510}}, ['POS:11L', 'UNKNOWN:13L']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1140, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1304}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1604, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2004, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1254}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1000, '13L': 370}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1450, '11L': 1500}}, ['UNKNOWN:41']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11R': 0, '31': 3000, '12L': 0, '13L': 1000, '12R': 1500, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1150, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1305}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1605, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2005, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1255}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'13L': 1000, '21P': 0, '12L': 1500, '31': 1070, '12R': 0}}, ['UNKNOWN:13L']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'13L': 0, '12R': 1500, '21P': 4600}}, ['UNKNOWN:13L']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1000, '31': 360, '12R': 380, '21P': 4600, '11L': 280, '11R': 0}}, ['UNKNOWN:41']]]]
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
legal split load[][]Passed
pair over combined[]['COMB:11L+11R']Failed
position exactly at limit[][]Passed
single side overloaded['POS:12R']['POS:12R']Passed
unknown position['UNKNOWN:41']['UNKNOWN:41']Passed
block over only[]['COMB:11L+11R+12L+12R']Failed
sampled case 1['UNKNOWN:13L', 'UNKNOWN:41']['UNKNOWN:13L', 'UNKNOWN:41']Passed
sampled case 2['UNKNOWN:13L', 'UNKNOWN:41']['UNKNOWN:13L', 'UNKNOWN:41']Passed
sampled case 3[]['COMB:11L+11R']Failed

SHA-256 / 3b053c30b78cd15c9bf7cf468ec629d2a131f66a00a619d72ead624aebaf76af

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(x):
    lim = x['limits']
    loads = x['loads']
    out = []
    for pos in sorted(loads):
        if pos not in lim:
            out.append('UNKNOWN:' + pos)
        elif loads[pos] > lim[pos]:
            out.append('POS:' + pos)
    for members, cap in x['combined']:
        tot = 2 * max(loads.get(p, 0) for p in members)
        if tot > cap:
            out.append('COMB:' + '+'.join(members))
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1110, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1301}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1601, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2001, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1251}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 3000, '21P': 4600, '11L': 1500, '13L': 1000, '12L': 0, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 0, '12L': 1320, '13L': 380, '12R': 0, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'21P': 4600, '12R': 1500, '11R': 1500, '11L': 1500, '12L': 0}}, ['COMB:11L+11R']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1120, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1302}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1602, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2002, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1252}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11R': 610}}, []], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1500, '13L': 250, '11R': 0}}, ['UNKNOWN:13L']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 0}}, []]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1130, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1303}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1603, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2003, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1253}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1500}}, []], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 240, '11L': 0}}, []], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1760, '13L': 510}}, ['POS:11L', 'UNKNOWN:13L']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1140, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1304}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1604, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2004, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1254}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1000, '13L': 370}}, ['UNKNOWN:13L', 'UNKNOWN:41']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1450, '11L': 1500}}, ['UNKNOWN:41']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11R': 0, '31': 3000, '12L': 0, '13L': 1000, '12R': 1500, '41': 0}}, ['UNKNOWN:13L', 'UNKNOWN:41']]], [['legal split load', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1200, '11R': 1150, '21P': 4000}}, []], ['pair over combined', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'11L': 1400, '11R': 1305}}, ['COMB:11L+11R']], ['position exactly at limit', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12L': 1500, '12R': 1100, '31': 3000}}, []], ['single side overloaded', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'12R': 1605, '11L': 0}}, ['POS:12R']], ['unknown position', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 0, '31': 2005, '11R': 500}}, ['UNKNOWN:41']], ['block over only', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'31': 100, '11L': 1250, '11R': 1250, '12L': 1300, '12R': 1255}}, ['COMB:11L+11R+12L+12R']], ['sampled case 1', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'13L': 1000, '21P': 0, '12L': 1500, '31': 1070, '12R': 0}}, ['UNKNOWN:13L']], ['sampled case 2', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'13L': 0, '12R': 1500, '21P': 4600}}, ['UNKNOWN:13L']], ['sampled case 3', {'limits': {'11L': 1500, '11R': 1500, '12L': 1500, '12R': 1500, '21P': 4600, '31': 3000}, 'combined': [[['11L', '11R'], 2500], [['12L', '12R'], 2600], [['11L', '11R', '12L', '12R'], 5000]], 'loads': {'41': 1000, '31': 360, '12R': 380, '21P': 4600, '11L': 280, '11R': 0}}, ['UNKNOWN:41']]]]
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
legal split load[][]Passed
pair over combined['COMB:11L+11R']['COMB:11L+11R']Passed
position exactly at limit['COMB:12L+12R'][]Failed
single side overloaded['POS:12R', 'COMB:12L+12R']['POS:12R']Failed
unknown position['UNKNOWN:41']['UNKNOWN:41']Passed
block over only[]['COMB:11L+11R+12L+12R']Failed
sampled case 1['UNKNOWN:13L', 'UNKNOWN:41', 'COMB:11L+11R']['UNKNOWN:13L', 'UNKNOWN:41']Failed
sampled case 2['UNKNOWN:13L', 'UNKNOWN:41', 'COMB:12L+12R']['UNKNOWN:13L', 'UNKNOWN:41']Failed
sampled case 3['COMB:11L+11R', 'COMB:12L+12R']['COMB:11L+11R']Failed

SHA-256 / 92f574e4141509155562a1f06ad7f743f25079d1c47cbd411d17b32e103d9bc0

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 2026-09-29T14:47:41.897956+00:00.

Case digest / 5acda3104aa98cfc82f59e5b712e88e99f9e060da78cd0cea98f6c7c45ce7004