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FA-97096 / Recipe scaling and nutrition / Open access

High-altitude baking adjuster: sugar reduction scaling · case 01

Two cups of sugar lose only one tablespoon at level 1.

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

ROOT CAUSE

The tablespoon-per-cup reduction is subtracted once instead of per cup.

VERIFIED REPAIR

Multiply sugar cups by (1 - level/16).

Unsuccessful approach: Using level/8 removes two tablespoons per cup per level.

Case contract

Level 0 below 3000 ft, 1 for 3000-4999, 2 for 5000-6999, 3 at 7000+. Baking powder times (1-level/8); sugar times (1-level/16) (1 tbsp per cup per level); liquid times (1+3*level/32) (1.5 tbsp per cup per level); oven +15 F at levels 1-2 and +25 F at level 3. Amounts are fraction strings in and exact str(Fraction) out.

Why this case matters

Cake and quick-bread recipes need leavening, sugar, liquid and temperature changes at elevation.

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(altitude_ft, recipe):
    if altitude_ft < 3000:
        level = 0
    elif altitude_ft < 5000:
        level = 1
    elif altitude_ft < 7000:
        level = 2
    else:
        level = 3
    bp = Fraction(recipe['baking_powder_tsp'])
    sugar = Fraction(recipe['sugar_cups'])
    liquid = Fraction(recipe['liquid_cups'])
    bp = bp * (1 - Fraction(level, 8))
    sugar = sugar - Fraction(level, 16)
    liquid = liquid * (1 + Fraction(3 * level, 32))
    oven = recipe['oven_f'] + (0 if level == 0 else 25 if level == 3 else 15)
    return {'level': level, 'baking_powder_tsp': str(bp), 'sugar_cups': str(sugar),
            'liquid_cups': str(liquid), 'oven_f': oven}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}],
  ['generated control 1',
   [1500, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [0, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}]],
 [['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['regression: sugar reduction scaling',
   [3500, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['repair check: sugar reduction scaling',
   [4999, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 350, 'sugar_cups': '39/64'}],
  ['generated control 2',
   [6999, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '9/8', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['generated control 3',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/8'}]],
 [['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['regression: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '7/8'}],
  ['generated control 1',
   [0, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [0, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [6500, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 340, 'sugar_cups': '7/4'}]],
 [['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['regression: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 375, 'sugar_cups': '13/32'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '21/32'}],
  ['generated control 1',
   [3500, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '21/16',
    'level': 1,
    'liquid_cups': '105/128',
    'oven_f': 365,
    'sugar_cups': '45/64'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
  ['generated control 3',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}]],
 [['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/8'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
  ['generated control 2',
   [3500, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/32'}],
  ['generated control 3',
   [3000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}]]]
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
sea level{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}Passed
threshold 3000{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}Passed
level two{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '15/8'}{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}Failed
regression: sugar reduction scaling{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '31/16'}{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}Failed
repair check: sugar reduction scaling{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '5/16'}{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}Failed
generated control 1{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}Passed
generated control 2{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}Passed
generated control 3{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}Passed

SHA-256 / dfc41eebecb571b3c19583222f36d2a630168b5b408e69baad2bb9618ae4192e

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(altitude_ft, recipe):
    if altitude_ft < 3000:
        level = 0
    elif altitude_ft < 5000:
        level = 1
    elif altitude_ft < 7000:
        level = 2
    else:
        level = 3
    bp = Fraction(recipe['baking_powder_tsp'])
    sugar = Fraction(recipe['sugar_cups'])
    liquid = Fraction(recipe['liquid_cups'])
    bp = bp * (1 - Fraction(level, 8))
    sugar = sugar * (1 - Fraction(level, 8))
    liquid = liquid * (1 + Fraction(3 * level, 32))
    oven = recipe['oven_f'] + (0 if level == 0 else 25 if level == 3 else 15)
    return {'level': level, 'baking_powder_tsp': str(bp), 'sugar_cups': str(sugar),
            'liquid_cups': str(liquid), 'oven_f': oven}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}],
  ['generated control 1',
   [1500, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [0, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}]],
 [['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['regression: sugar reduction scaling',
   [3500, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['repair check: sugar reduction scaling',
   [4999, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 350, 'sugar_cups': '39/64'}],
  ['generated control 2',
   [6999, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '9/8', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['generated control 3',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/8'}]],
 [['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['regression: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '7/8'}],
  ['generated control 1',
   [0, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [0, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [6500, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 340, 'sugar_cups': '7/4'}]],
 [['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['regression: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 375, 'sugar_cups': '13/32'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '21/32'}],
  ['generated control 1',
   [3500, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '21/16',
    'level': 1,
    'liquid_cups': '105/128',
    'oven_f': 365,
    'sugar_cups': '45/64'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
  ['generated control 3',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}]],
 [['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/8'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
  ['generated control 2',
   [3500, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/32'}],
  ['generated control 3',
   [3000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}]]]
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
sea level{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}Passed
threshold 3000{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '7/8'}{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}Failed
level two{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '3/2'}{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}Failed
regression: sugar reduction scaling{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '7/4'}{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}Failed
repair check: sugar reduction scaling{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '5/16'}{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}Failed
generated control 1{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}Passed
generated control 2{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}Passed
generated control 3{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}Passed

SHA-256 / 4f5640adaf54056911beeb943e6b55984b4f75107f6f7eb362de3009128625f1

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(altitude_ft, recipe):
    if altitude_ft < 3000:
        level = 0
    elif altitude_ft < 5000:
        level = 1
    elif altitude_ft < 7000:
        level = 2
    else:
        level = 3
    bp = Fraction(recipe['baking_powder_tsp'])
    sugar = Fraction(recipe['sugar_cups'])
    liquid = Fraction(recipe['liquid_cups'])
    bp = bp * (1 - Fraction(level, 8))
    sugar = sugar * (1 - Fraction(level, 16))
    liquid = liquid * (1 + Fraction(3 * level, 32))
    oven = recipe['oven_f'] + (0 if level == 0 else 25 if level == 3 else 15)
    return {'level': level, 'baking_powder_tsp': str(bp), 'sugar_cups': str(sugar),
            'liquid_cups': str(liquid), 'oven_f': oven}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}],
  ['generated control 1',
   [1500, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [0, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}]],
 [['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['regression: sugar reduction scaling',
   [3500, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['repair check: sugar reduction scaling',
   [4999, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 390, 'sugar_cups': '45/64'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 350, 'sugar_cups': '39/64'}],
  ['generated control 2',
   [6999, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '9/8', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['generated control 3',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/8'}]],
 [['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['regression: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '7/8'}],
  ['generated control 1',
   [0, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
  ['generated control 2',
   [0, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '3/4'}],
  ['generated control 3',
   [6500, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 340, 'sugar_cups': '7/4'}]],
 [['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
  ['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['regression: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 375, 'sugar_cups': '13/32'}],
  ['repair check: sugar reduction scaling',
   [5000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '21/32'}],
  ['generated control 1',
   [3500, {'baking_powder_tsp': '3/2', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '3/4'}],
   {'baking_powder_tsp': '21/16',
    'level': 1,
    'liquid_cups': '105/128',
    'oven_f': 365,
    'sugar_cups': '45/64'}],
  ['generated control 2',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
  ['generated control 3',
   [1500, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}]],
 [['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
  ['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
  ['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
  ['regression: sugar reduction scaling',
   [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}],
  ['repair check: sugar reduction scaling',
   [7000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/8'}],
  ['generated control 1',
   [9000, {'baking_powder_tsp': '2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
   {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
  ['generated control 2',
   [3500, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1/2'}],
   {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/32'}],
  ['generated control 3',
   [3000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '2'}],
   {'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 340, 'sugar_cups': '15/8'}]]]
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
sea level{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}Passed
threshold 3000{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}Passed
level two{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}Passed
regression: sugar reduction scaling{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/8'}Passed
repair check: sugar reduction scaling{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '13/32'}Passed
generated control 1{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}{'baking_powder_tsp': '2', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1/2'}Passed
generated control 2{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}Passed
generated control 3{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '2'}Passed

SHA-256 / 267e942aeae413c253da3282269e400aabfec72658ef7439c224241cc58452ba

Verification & scope

A deterministic toy contract stated in full here; it is a bounded teaching model, not an authoritative reference or standards implementation. 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 2026-09-29T14:52:28.862698+00:00.

Case digest / 6ec3339857ae0397aab1c2ed9d80fc499a7db38e13c8ed2a0a1fc160b6a8bb21