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FA-64281 / Medication dosing calculations / Open access

INR-guided weekly dose adjustment and daily plan: slightly-low band edge · case 01

An INR exactly 0.5 below target gets the larger 10% increase.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The 5% band excludes its inclusive lower edge.

THE FAILURE

The 5% band excludes its inclusive lower edge.

Unsuccessful approach: Using half of the lower target instead of low - 0.5 widens the band far too much.

Case contract

Input {inr, weekly_mg, low, high}. Toy table: inr >= 5 HOLD and weekly x0.85; high < inr < 5 x0.90; low <= inr <= high CONTINUE unchanged; low-0.5 <= inr < low x1.05; lower x1.10 (ADJUST otherwise). New weekly total rounds half-up to 0.5 mg; the plan spreads it over 7 days in 0.5 mg units as evenly as possible with the larger doses on the first days. Return {action, weekly_mg, plan}.

Why this case matters

Weekly anticoagulant adjustment combines threshold bands with a dispensing plan; band edges and the distribution rule are independent defects.

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):
    inr = Fraction(str(x['inr']))
    lo, hi = Fraction(str(x['low'])), Fraction(str(x['high']))
    w = Fraction(str(x['weekly_mg']))
    action = 'ADJUST'
    if inr >= 5:
        action, w = 'HOLD', w * Fraction(85, 100)
    elif inr > hi:
        w = w * Fraction(90, 100)
    elif inr >= lo:
        action = 'CONTINUE'
    elif inr > lo - Fraction(1, 2):
        w = w * Fraction(105, 100)
    else:
        w = w * Fraction(110, 100)
    units = math.floor(w * 2 + Fraction(1, 2))
    base, extra = divmod(units, 7)
    plan = [(base + 1) / 2] * extra + [base / 2] * (7 - extra)
    return {'action': action, 'weekly_mg': units / 2, 'plan': plan}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 31, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 26.5, 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 29, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 29.0, 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 31, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 22, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 23.0, 'plan': [3.5, 3.5, 3.5, 3.5, 3.0, 3.0, 3.0]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 26, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 28.5, 'plan': [4.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 25, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 26.5, 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '32.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 32.5, 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 32, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 27.0, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 3.5, 3.5]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 30, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 32, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 24, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 25.0, 'plan': [4.0, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 27, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 29.5, 'plan': [4.5, 4.5, 4.5, 4.0, 4.0, 4.0, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 45, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 47.5, 'plan': [7.0, 7.0, 7.0, 7.0, 6.5, 6.5, 6.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '27.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 27.5, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 3.5]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 33, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 28.0, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 31, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 33, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 26, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 27.5, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 3.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 28, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 65, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 68.5, 'plan': [10.0, 10.0, 10.0, 10.0, 9.5, 9.5, 9.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '31', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 34, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 29.0, 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 32, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 34, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 34.0, 'plan': [5.0, 5.0, 5.0, 5.0, 5.0, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 28, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 29.5, 'plan': [4.5, 4.5, 4.5, 4.0, 4.0, 4.0, 4.0]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 29, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 85, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 89.5, 'plan': [13.0, 13.0, 13.0, 13.0, 12.5, 12.5, 12.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '22.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 22.5, 'plan': [3.5, 3.5, 3.5, 3.0, 3.0, 3.0, 3.0]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 35, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 33, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 35, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 35.0, 'plan': [5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 30, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 31.5, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 30, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 105, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 110.5, 'plan': [16.0, 16.0, 16.0, 16.0, 15.5, 15.5, 15.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '38', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 38.0, 'plan': [5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.0]})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
INR exactly 5 holds{'action': 'HOLD', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}{'action': 'HOLD', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}Passed
high target range above 3{'action': 'HOLD', 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0], 'weekly_mg': 30.0}{'action': 'HOLD', 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0], 'weekly_mg': 30.0}Passed
INR at upper target continues{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 29.0}{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 29.0}Passed
INR at lower target continues{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0], 'weekly_mg': 31.0}{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0], 'weekly_mg': 31.0}Passed
INR exactly half below target{'action': 'ADJUST', 'plan': [3.5, 3.5, 3.5, 3.5, 3.5, 3.5, 3.0], 'weekly_mg': 24.0}{'action': 'ADJUST', 'plan': [3.5, 3.5, 3.5, 3.5, 3.0, 3.0, 3.0], 'weekly_mg': 23.0}Failed
INR well below target{'action': 'ADJUST', 'plan': [4.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 28.5}{'action': 'ADJUST', 'plan': [4.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 28.5}Passed
weekly rounding half-up{'action': 'ADJUST', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}{'action': 'ADJUST', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}Passed
uneven weekly split{'action': 'CONTINUE', 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5], 'weekly_mg': 32.5}{'action': 'CONTINUE', 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5], 'weekly_mg': 32.5}Passed

SHA-256 / bf21d6d063782841de0002918cce85f72b243a993a1a6f8b7d2f50f828be94a3

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):
    inr = Fraction(str(x['inr']))
    lo, hi = Fraction(str(x['low'])), Fraction(str(x['high']))
    w = Fraction(str(x['weekly_mg']))
    action = 'ADJUST'
    if inr >= 5:
        action, w = 'HOLD', w * Fraction(85, 100)
    elif inr > hi:
        w = w * Fraction(90, 100)
    elif inr >= lo:
        action = 'CONTINUE'
    elif inr >= lo * Fraction(1, 2):
        w = w * Fraction(105, 100)
    else:
        w = w * Fraction(110, 100)
    units = math.floor(w * 2 + Fraction(1, 2))
    base, extra = divmod(units, 7)
    plan = [(base + 1) / 2] * extra + [base / 2] * (7 - extra)
    return {'action': action, 'weekly_mg': units / 2, 'plan': plan}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 31, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 26.5, 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 29, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 29.0, 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 31, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 22, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 23.0, 'plan': [3.5, 3.5, 3.5, 3.5, 3.0, 3.0, 3.0]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 26, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 28.5, 'plan': [4.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 25, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 26.5, 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '32.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 32.5, 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 32, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 27.0, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 3.5, 3.5]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 30, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 32, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 24, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 25.0, 'plan': [4.0, 3.5, 3.5, 3.5, 3.5, 3.5, 3.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 27, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 29.5, 'plan': [4.5, 4.5, 4.5, 4.0, 4.0, 4.0, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 45, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 47.5, 'plan': [7.0, 7.0, 7.0, 7.0, 6.5, 6.5, 6.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '27.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 27.5, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 3.5]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 33, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 28.0, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 31, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 33, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 26, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 27.5, 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 3.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 28, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 65, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 68.5, 'plan': [10.0, 10.0, 10.0, 10.0, 9.5, 9.5, 9.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '31', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 31.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 34, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 29.0, 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 32, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 34, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 34.0, 'plan': [5.0, 5.0, 5.0, 5.0, 5.0, 4.5, 4.5]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 28, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 29.5, 'plan': [4.5, 4.5, 4.5, 4.0, 4.0, 4.0, 4.0]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 29, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 32.0, 'plan': [5.0, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 85, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 89.5, 'plan': [13.0, 13.0, 13.0, 13.0, 12.5, 12.5, 12.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '22.5', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 22.5, 'plan': [3.5, 3.5, 3.5, 3.0, 3.0, 3.0, 3.0]})],
 [('INR exactly 5 holds',
   {'inr': '5.0', 'weekly_mg': 35, 'low': 2, 'high': 3},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('high target range above 3',
   {'inr': '5.2', 'weekly_mg': 35, 'low': '2.5', 'high': '3.5'},
   {'action': 'HOLD', 'weekly_mg': 30.0, 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0]}),
  ('INR at upper target continues',
   {'inr': '3.5', 'weekly_mg': 33, 'low': '2.5', 'high': '3.5'},
   {'action': 'CONTINUE', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('INR at lower target continues',
   {'inr': '2.0', 'weekly_mg': 35, 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 35.0, 'plan': [5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0]}),
  ('INR exactly half below target',
   {'inr': '1.5', 'weekly_mg': 30, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 31.5, 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5]}),
  ('INR well below target',
   {'inr': '1.2', 'weekly_mg': 30, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 33.0, 'plan': [5.0, 5.0, 5.0, 4.5, 4.5, 4.5, 4.5]}),
  ('weekly rounding half-up',
   {'inr': '1.8', 'weekly_mg': 105, 'low': 2, 'high': 3},
   {'action': 'ADJUST', 'weekly_mg': 110.5, 'plan': [16.0, 16.0, 16.0, 16.0, 15.5, 15.5, 15.5]}),
  ('uneven weekly split',
   {'inr': '2.5', 'weekly_mg': '38', 'low': 2, 'high': 3},
   {'action': 'CONTINUE', 'weekly_mg': 38.0, 'plan': [5.5, 5.5, 5.5, 5.5, 5.5, 5.5, 5.0]})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
INR exactly 5 holds{'action': 'HOLD', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}{'action': 'HOLD', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}Passed
high target range above 3{'action': 'HOLD', 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0], 'weekly_mg': 30.0}{'action': 'HOLD', 'plan': [4.5, 4.5, 4.5, 4.5, 4.0, 4.0, 4.0], 'weekly_mg': 30.0}Passed
INR at upper target continues{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 29.0}{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 29.0}Passed
INR at lower target continues{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0], 'weekly_mg': 31.0}{'action': 'CONTINUE', 'plan': [4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 4.0], 'weekly_mg': 31.0}Passed
INR exactly half below target{'action': 'ADJUST', 'plan': [3.5, 3.5, 3.5, 3.5, 3.0, 3.0, 3.0], 'weekly_mg': 23.0}{'action': 'ADJUST', 'plan': [3.5, 3.5, 3.5, 3.5, 3.0, 3.0, 3.0], 'weekly_mg': 23.0}Passed
INR well below target{'action': 'ADJUST', 'plan': [4.0, 4.0, 4.0, 4.0, 4.0, 4.0, 3.5], 'weekly_mg': 27.5}{'action': 'ADJUST', 'plan': [4.5, 4.0, 4.0, 4.0, 4.0, 4.0, 4.0], 'weekly_mg': 28.5}Failed
weekly rounding half-up{'action': 'ADJUST', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}{'action': 'ADJUST', 'plan': [4.0, 4.0, 4.0, 4.0, 3.5, 3.5, 3.5], 'weekly_mg': 26.5}Passed
uneven weekly split{'action': 'CONTINUE', 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5], 'weekly_mg': 32.5}{'action': 'CONTINUE', 'plan': [5.0, 5.0, 4.5, 4.5, 4.5, 4.5, 4.5], 'weekly_mg': 32.5}Passed

SHA-256 / c4bbdb8aca6827f835ac718063772685e9501f842cfcbb949e90d5f4c6693328

HELD IN THE MEMBER ARCHIVE

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

This mechanism has 8 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.

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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 2026-09-29T14:47:23.108235+00:00.

Case digest / 8f36f7b5cfe5aaa923b5cb34bcb7279739abcb3d492136306fce621756de6c9b