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FA-64821 / Clinical triage scoring / Open access

Acute asthma severity from peak flow and signs: percentage of best · case 01

Every patient is classified as life-threatening.

Verified by executionVariant 1 · 10 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The ratio is left as a fraction of 1 instead of a percentage.

THE FAILURE

The ratio is left as a fraction of 1 instead of a percentage.

Unsuccessful approach: Computing the percentage drop inverts the scale.

Case contract

Input {pef, best (best or predicted PEF), spo2, sentences (can complete sentences), rr, hr, age}. pct = pef*100/best. Toy classification: LIFE_THREATENING when pct < 33 or spo2 < 92; ACUTE_SEVERE when pct <= 50, rr >= 25, hr >= 110 or sentences cannot be completed; MODERATE when pct <= 75; else MILD. Return {pct (1 dp), severity}.

Why this case matters

Severity grading from a percentage of best peak flow mixes ratio arithmetic with or-combined bedside signs.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    pct = Fraction(x['pef'], x['best'])
    if pct < 33 or x['spo2'] < 92:
        sev = 'LIFE_THREATENING'
    elif pct <= 50 or x['rr'] >= 25 or x['hr'] >= 110 or not x['sentences']:
        sev = 'ACUTE_SEVERE'
    elif pct <= 75:
        sev = 'MODERATE'
    else:
        sev = 'MILD'
    return {'pct': round(float(pct), 1), 'severity': sev}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('mild control',
   {'pef': 430, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 86.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 310, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 62.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 91, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 19, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 331, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.2, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 26, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 11},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 116, 'age': 6},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 401, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.2, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 110, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 24.4, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 440, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 88.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 320, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 64.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 92, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 20, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 332, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.4, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 27, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 12},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 117, 'age': 7},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 402, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.4, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 120, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 26.7, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 450, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 90.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 330, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 93, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 21, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 333, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.6, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 28, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 13},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 118, 'age': 8},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 403, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.6, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 130, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 28.9, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 460, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 92.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 340, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 68.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 94, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 22, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 334, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.8, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 29, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 14},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 119, 'age': 9},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 404, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.8, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 140, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 31.1, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 470, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 94.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 95, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 23, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 335, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 67.0, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 30, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 15},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 120, 'age': 10},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 405, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 81.0, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 150, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 33.3, 'severity': 'ACUTE_SEVERE'})]]
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
mild control{'pct': 0.9, 'severity': 'LIFE_THREATENING'}{'pct': 86.0, 'severity': 'MILD'}Failed
moderate{'pct': 0.6, 'severity': 'LIFE_THREATENING'}{'pct': 62.0, 'severity': 'MODERATE'}Failed
exactly 50 percent{'pct': 0.5, 'severity': 'LIFE_THREATENING'}{'pct': 50.0, 'severity': 'ACUTE_SEVERE'}Failed
exactly 33 percent{'pct': 0.3, 'severity': 'LIFE_THREATENING'}{'pct': 33.0, 'severity': 'ACUTE_SEVERE'}Failed
hypoxic with fair peak flow{'pct': 0.7, 'severity': 'LIFE_THREATENING'}{'pct': 66.2, 'severity': 'LIFE_THREATENING'}Failed
severe by rate alone{'pct': 0.7, 'severity': 'LIFE_THREATENING'}{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}Failed
heart rate exactly 110{'pct': 0.7, 'severity': 'LIFE_THREATENING'}{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}Failed
tachycardic child{'pct': 0.8, 'severity': 'LIFE_THREATENING'}{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}Failed
cannot finish sentences{'pct': 0.8, 'severity': 'LIFE_THREATENING'}{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}Failed
below one third{'pct': 0.2, 'severity': 'LIFE_THREATENING'}{'pct': 24.4, 'severity': 'LIFE_THREATENING'}Failed

SHA-256 / 53402382166ea6521dfc8cfe746569335b15e87c609f0f9dfb0d18f63e2c8d78

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    pct = Fraction((x['best'] - x['pef']) * 100, x['best'])
    if pct < 33 or x['spo2'] < 92:
        sev = 'LIFE_THREATENING'
    elif pct <= 50 or x['rr'] >= 25 or x['hr'] >= 110 or not x['sentences']:
        sev = 'ACUTE_SEVERE'
    elif pct <= 75:
        sev = 'MODERATE'
    else:
        sev = 'MILD'
    return {'pct': round(float(pct), 1), 'severity': sev}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('mild control',
   {'pef': 430, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 86.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 310, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 62.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 91, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 19, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 331, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.2, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 26, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 11},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 116, 'age': 6},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 401, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.2, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 110, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 24.4, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 440, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 88.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 320, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 64.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 92, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 20, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 332, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.4, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 27, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 12},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 117, 'age': 7},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 402, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.4, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 120, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 26.7, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 450, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 90.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 330, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 93, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 21, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 333, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.6, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 28, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 13},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 118, 'age': 8},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 403, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.6, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 130, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 28.9, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 460, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 92.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 340, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 68.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 94, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 22, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 334, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.8, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 29, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 14},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 119, 'age': 9},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 404, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.8, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 140, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 31.1, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 470, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 94.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 95, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 23, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 335, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 67.0, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 30, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 15},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 120, 'age': 10},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 405, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 81.0, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 150, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 33.3, 'severity': 'ACUTE_SEVERE'})]]
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
mild control{'pct': 14.0, 'severity': 'LIFE_THREATENING'}{'pct': 86.0, 'severity': 'MILD'}Failed
moderate{'pct': 38.0, 'severity': 'ACUTE_SEVERE'}{'pct': 62.0, 'severity': 'MODERATE'}Failed
exactly 50 percent{'pct': 50.0, 'severity': 'ACUTE_SEVERE'}{'pct': 50.0, 'severity': 'ACUTE_SEVERE'}Passed
exactly 33 percent{'pct': 67.0, 'severity': 'MODERATE'}{'pct': 33.0, 'severity': 'ACUTE_SEVERE'}Failed
hypoxic with fair peak flow{'pct': 33.8, 'severity': 'LIFE_THREATENING'}{'pct': 66.2, 'severity': 'LIFE_THREATENING'}Failed
severe by rate alone{'pct': 30.0, 'severity': 'LIFE_THREATENING'}{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}Failed
heart rate exactly 110{'pct': 28.0, 'severity': 'LIFE_THREATENING'}{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}Failed
tachycardic child{'pct': 20.0, 'severity': 'LIFE_THREATENING'}{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}Failed
cannot finish sentences{'pct': 19.8, 'severity': 'LIFE_THREATENING'}{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}Failed
below one third{'pct': 75.6, 'severity': 'MILD'}{'pct': 24.4, 'severity': 'LIFE_THREATENING'}Failed

SHA-256 / 71b779c761aeffe2e131b212e9fe0a4dec582f5abdc436a4d79f987852bde0c1

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Verification & scope

A deterministic toy software model with explicitly stipulated thresholds and formulas; it is not clinical guidance, not a validated medical calculator, and makes no claim of conformance to any published protocol. Numbered variants vary patient and order inputs. 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 2026-09-29T14:47:28.240813+00:00.

Case digest / 2743adf1b53d80fd12a1e058bebd73a81fb17fd8b05321b905be08890ad0f502