{"abstract":"Enriched doughs with eggs show too low a hydration.","category":"Recipe scaling and nutrition","checks":8,"contract":"Rows [name, grams, role], role in flour/water/milk/egg/starter/other. Total flour = all flour rows plus half of starter weight (100% hydration levain). Each row gets grams/total_flour*100 as \"d.d\" rounded half-up. Hydration counts water fully, milk at 87%, egg at 75% and half the starter. No flour returns an error string.","evaluation_group":"w2-recipe_scaling_and_nutrition-bakers-percentage","failed_approach":"Counting eggs as pure water overstates hydration.","family":"w2-recipe_scaling_and_nutrition-bakers-percentage-egg-water-content","id":"FA-96951","implementations":{"attempt":{"sha256":"a732dcd7f7fd8e31312543c94f1ba8c42813fd17c17c4fa75859d52423243eab","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(ingredients):\n    starter = sum((Fraction(str(g)) for n, g, r in ingredients if r == 'starter'), Fraction(0))\n    flour = sum(Fraction(str(g)) for n, g, r in ingredients if r == 'flour') + starter / 2\n    if flour == 0:\n        return 'error: no flour'\n    def pct(x):\n        v = math.floor(x * 1000 / flour + Fraction(1, 2))\n        return '%d.%d' % divmod(v, 10)\n    rows = [[n, pct(Fraction(str(g)))] for n, g, r in ingredients]\n    water = Fraction(0)\n    for n, g, r in ingredients:\n        if r == 'water':\n            water += Fraction(str(g))\n        elif r == 'milk':\n            water += Fraction(str(g)) * Fraction(87, 100)\n        elif r == 'egg':\n            water += Fraction(str(g))\n        elif r == 'starter':\n            water += Fraction(str(g)) / 2\n    return {'flour_total': str(flour), 'percentages': rows, 'hydration': pct(water)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['spelt1', 450, 'flour'], ['egg', 100, 'egg'], ['salt', 10, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '783',\n    'hydration': '9.6',\n    'percentages': [['spelt1', '57.5'], ['egg', '12.8'], ['salt', '1.3'], ['spelt0', '42.5']]}],\n  ['repair check: egg water content',\n   [[['salt', 10, 'other'], ['bread flour2', 450, 'flour'], ['rye1', 500, 'flour'],\n     ['bread flour0', 300, 'flour'], ['egg', 100, 'egg']]],\n   {'flour_total': '1250',\n    'hydration': '6.0',\n    'percentages': [['salt', '0.8'], ['bread flour2', '36.0'], ['rye1', '40.0'], ['bread flour0', '24.0'],\n                    ['egg', '8.0']]}],\n  ['generated control 1',\n   [[['whole wheat1', 500, 'flour'], ['bread flour0', 500, 'flour'], ['levain', 100, 'starter'],\n     ['whole wheat2', 100, 'flour'], ['salt', 9, 'other'], ['water', 200, 'water']]],\n   {'flour_total': '1150',\n    'hydration': '21.7',\n    'percentages': [['whole wheat1', '43.5'], ['bread flour0', '43.5'], ['levain', '8.7'],\n                    ['whole wheat2', '8.7'], ['salt', '0.8'], ['water', '17.4']]}],\n  ['generated control 2',\n   [[['levain', 100, 'starter'], ['water', 350, 'water'], ['salt', 11, 'other'],\n     ['whole wheat0', 500, 'flour']]],\n   {'flour_total': '550',\n    'hydration': '72.7',\n    'percentages': [['levain', '18.2'], ['water', '63.6'], ['salt', '2.0'], ['whole wheat0', '90.9']]}],\n  ['generated control 3',\n   [[['whole wheat0', 300, 'flour'], ['milk', 50, 'milk'], ['rye2', 450, 'flour'],\n     ['whole wheat1', 333, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1083',\n    'hydration': '4.0',\n    'percentages': [['whole wheat0', '27.7'], ['milk', '4.6'], ['rye2', '41.6'], ['whole wheat1', '30.7'],\n                    ['salt', '0.8']]}]],\n [['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 200, 'flour'], ['salt', 10, 'other'], ['levain', 90, 'starter'], ['egg', 50, 'egg'],\n     ['whole wheat1', 250, 'flour']]],\n   {'flour_total': '495',\n    'hydration': '16.7',\n    'percentages': [['rye0', '40.4'], ['salt', '2.0'], ['levain', '18.2'], ['egg', '10.1'],\n                    ['whole wheat1', '50.5']]}],\n  ['repair check: egg water content',\n   [[['levain', 100, 'starter'], ['water', 377, 'water'], ['egg', 50, 'egg'], ['salt', 10, 'other'],\n     ['whole wheat0', 450, 'flour']]],\n   {'flour_total': '500',\n    'hydration': '92.9',\n    'percentages': [['levain', '20.0'], ['water', '75.4'], ['egg', '10.0'], ['salt', '2.0'],\n                    ['whole wheat0', '90.0']]}],\n  ['generated control 1',\n   [[['water', 325, 'water'], ['spelt0', 100, 'flour'], ['salt', 11, 'other'], ['milk', 100, 'milk'],\n     ['levain', 90, 'starter']]],\n   {'flour_total': '145',\n    'hydration': '315.2',\n    'percentages': [['water', '224.1'], ['spelt0', '69.0'], ['salt', '7.6'], ['milk', '69.0'],\n                    ['levain', '62.1']]}],\n  ['generated control 2',\n   [[['salt', 10, 'other'], ['spelt1', 300, 'flour'], ['bread flour0', 100, 'flour'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '7.0',\n    'percentages': [['salt', '2.3'], ['spelt1', '69.8'], ['bread flour0', '23.3'], ['levain', '14.0']]}],\n  ['generated control 3',\n   [[['whole wheat0', 200, 'flour'], ['salt', 9, 'other'], ['levain', 150, 'starter'],\n     ['water', 377, 'water']]],\n   {'flour_total': '275',\n    'hydration': '164.4',\n    'percentages': [['whole wheat0', '72.7'], ['salt', '3.3'], ['levain', '54.5'], ['water', '137.1']]}]],\n [['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 250, 'flour'], ['whole wheat1', 200, 'flour'], ['egg', 100, 'egg'],\n     ['bread flour2', 100, 'flour'], ['salt', 11, 'other'], ['water', 377, 'water'],\n     ['levain', 150, 'starter'], ['milk', 50, 'milk']]],\n   {'flour_total': '625',\n    'hydration': '91.3',\n    'percentages': [['rye0', '40.0'], ['whole wheat1', '32.0'], ['egg', '16.0'], ['bread flour2', '16.0'],\n                    ['salt', '1.8'], ['water', '60.3'], ['levain', '24.0'], ['milk', '8.0']]}],\n  ['repair check: egg water content',\n   [[['egg', 100, 'egg'], ['milk', 50, 'milk'], ['water', 150, 'water'], ['rye2', 300, 'flour'],\n     ['bread flour1', 450, 'flour'], ['bread flour0', 300, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1050',\n    'hydration': '25.6',\n    'percentages': [['egg', '9.5'], ['milk', '4.8'], ['water', '14.3'], ['rye2', '28.6'],\n                    ['bread flour1', '42.9'], ['bread flour0', '28.6'], ['salt', '0.9']]}],\n  ['generated control 1',\n   [[['salt', 11, 'other'], ['spelt0', 500, 'flour'], ['spelt1', 333, 'flour'], ['water', 325, 'water'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '863',\n    'hydration': '41.1',\n    'percentages': [['salt', '1.3'], ['spelt0', '57.9'], ['spelt1', '38.6'], ['water', '37.7'],\n                    ['levain', '7.0']]}],\n  ['generated control 2',\n   [[['water', 200, 'water'], ['milk', 100, 'milk'], ['salt', 10, 'other'], ['spelt0', 200, 'flour']]],\n   {'flour_total': '200',\n    'hydration': '143.5',\n    'percentages': [['water', '100.0'], ['milk', '50.0'], ['salt', '5.0'], ['spelt0', '100.0']]}],\n  ['generated control 3',\n   [[['salt', 9, 'other'], ['whole wheat1', 100, 'flour'], ['milk', 50, 'milk'],\n     ['bread flour0', 500, 'flour'], ['water', 200, 'water']]],\n   {'flour_total': '600',\n    'hydration': '40.6',\n    'percentages': [['salt', '1.5'], ['whole wheat1', '16.7'], ['milk', '8.3'], ['bread flour0', '83.3'],\n                    ['water', '33.3']]}]],\n [['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['regression: egg water content',\n   [[['water', 377, 'water'], ['levain', 90, 'starter'], ['rye0', 500, 'flour'], ['salt', 10, 'other'],\n     ['egg', 50, 'egg']]],\n   {'flour_total': '545',\n    'hydration': '84.3',\n    'percentages': [['water', '69.2'], ['levain', '16.5'], ['rye0', '91.7'], ['salt', '1.8'],\n                    ['egg', '9.2']]}],\n  ['repair check: egg water content',\n   [[['milk', 120, 'milk'], ['spelt0', 333, 'flour'], ['egg', 100, 'egg'], ['water', 350, 'water'],\n     ['salt', 10, 'other']]],\n   {'flour_total': '333',\n    'hydration': '159.0',\n    'percentages': [['milk', '36.0'], ['spelt0', '100.0'], ['egg', '30.0'], ['water', '105.1'],\n                    ['salt', '3.0']]}],\n  ['generated control 1', [[['rye1', 500, 'flour'], ['salt', 11, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '833',\n    'hydration': '0.0',\n    'percentages': [['rye1', '60.0'], ['salt', '1.3'], ['spelt0', '40.0']]}],\n  ['generated control 2',\n   [[['water', 150, 'water'], ['salt', 11, 'other'], ['spelt1', 200, 'flour'], ['milk', 100, 'milk'],\n     ['rye0', 100, 'flour']]],\n   {'flour_total': '300',\n    'hydration': '79.0',\n    'percentages': [['water', '50.0'], ['salt', '3.7'], ['spelt1', '66.7'], ['milk', '33.3'],\n                    ['rye0', '33.3']]}],\n  ['generated control 3',\n   [[['water', 350, 'water'], ['whole wheat0', 200, 'flour'], ['salt', 10, 'other'],\n     ['bread flour1', 200, 'flour'], ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '88.4',\n    'percentages': [['water', '81.4'], ['whole wheat0', '46.5'], ['salt', '2.3'], ['bread flour1', '46.5'],\n                    ['levain', '14.0']]}]],\n [['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['bread flour0', 300, 'flour'], ['whole wheat1', 100, 'flour'], ['levain', 60, 'starter'],\n     ['egg', 50, 'egg'], ['salt', 10, 'other']]],\n   {'flour_total': '430',\n    'hydration': '15.7',\n    'percentages': [['bread flour0', '69.8'], ['whole wheat1', '23.3'], ['levain', '14.0'], ['egg', '11.6'],\n                    ['salt', '2.3']]}],\n  ['repair check: egg water content',\n   [[['spelt0', 333, 'flour'], ['salt', 11, 'other'], ['egg', 50, 'egg'], ['water', 150, 'water']]],\n   {'flour_total': '333',\n    'hydration': '56.3',\n    'percentages': [['spelt0', '100.0'], ['salt', '3.3'], ['egg', '15.0'], ['water', '45.0']]}],\n  ['generated control 1',\n   [[['bread flour1', 500, 'flour'], ['salt', 10, 'other'], ['spelt0', 500, 'flour'],\n     ['water', 350, 'water']]],\n   {'flour_total': '1000',\n    'hydration': '35.0',\n    'percentages': [['bread flour1', '50.0'], ['salt', '1.0'], ['spelt0', '50.0'], ['water', '35.0']]}],\n  ['generated control 2',\n   [[['spelt0', 333, 'flour'], ['salt', 9, 'other'], ['egg', 100, 'egg'], ['water', 200, 'water']]],\n   {'flour_total': '333',\n    'hydration': '82.6',\n    'percentages': [['spelt0', '100.0'], ['salt', '2.7'], ['egg', '30.0'], ['water', '60.1']]}],\n  ['generated control 3',\n   [[['salt', 10, 'other'], ['rye2', 450, 'flour'], ['whole wheat1', 200, 'flour'],\n     ['spelt0', 200, 'flour']]],\n   {'flour_total': '850',\n    'hydration': '0.0',\n    'percentages': [['salt', '1.2'], ['rye2', '52.9'], ['whole wheat1', '23.5'], ['spelt0', '23.5']]}]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"cfd7e20f8dfe5a76de1c68f4ba4ab084ae2be242e61cbc1a01c03d1207a06a1d","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(ingredients):\n    starter = sum((Fraction(str(g)) for n, g, r in ingredients if r == 'starter'), Fraction(0))\n    flour = sum(Fraction(str(g)) for n, g, r in ingredients if r == 'flour') + starter / 2\n    if flour == 0:\n        return 'error: no flour'\n    def pct(x):\n        v = math.floor(x * 1000 / flour + Fraction(1, 2))\n        return '%d.%d' % divmod(v, 10)\n    rows = [[n, pct(Fraction(str(g)))] for n, g, r in ingredients]\n    water = Fraction(0)\n    for n, g, r in ingredients:\n        if r == 'water':\n            water += Fraction(str(g))\n        elif r == 'milk':\n            water += Fraction(str(g)) * Fraction(87, 100)\n        elif r == 'egg':\n            pass\n        elif r == 'starter':\n            water += Fraction(str(g)) / 2\n    return {'flour_total': str(flour), 'percentages': rows, 'hydration': pct(water)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['spelt1', 450, 'flour'], ['egg', 100, 'egg'], ['salt', 10, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '783',\n    'hydration': '9.6',\n    'percentages': [['spelt1', '57.5'], ['egg', '12.8'], ['salt', '1.3'], ['spelt0', '42.5']]}],\n  ['repair check: egg water content',\n   [[['salt', 10, 'other'], ['bread flour2', 450, 'flour'], ['rye1', 500, 'flour'],\n     ['bread flour0', 300, 'flour'], ['egg', 100, 'egg']]],\n   {'flour_total': '1250',\n    'hydration': '6.0',\n    'percentages': [['salt', '0.8'], ['bread flour2', '36.0'], ['rye1', '40.0'], ['bread flour0', '24.0'],\n                    ['egg', '8.0']]}],\n  ['generated control 1',\n   [[['whole wheat1', 500, 'flour'], ['bread flour0', 500, 'flour'], ['levain', 100, 'starter'],\n     ['whole wheat2', 100, 'flour'], ['salt', 9, 'other'], ['water', 200, 'water']]],\n   {'flour_total': '1150',\n    'hydration': '21.7',\n    'percentages': [['whole wheat1', '43.5'], ['bread flour0', '43.5'], ['levain', '8.7'],\n                    ['whole wheat2', '8.7'], ['salt', '0.8'], ['water', '17.4']]}],\n  ['generated control 2',\n   [[['levain', 100, 'starter'], ['water', 350, 'water'], ['salt', 11, 'other'],\n     ['whole wheat0', 500, 'flour']]],\n   {'flour_total': '550',\n    'hydration': '72.7',\n    'percentages': [['levain', '18.2'], ['water', '63.6'], ['salt', '2.0'], ['whole wheat0', '90.9']]}],\n  ['generated control 3',\n   [[['whole wheat0', 300, 'flour'], ['milk', 50, 'milk'], ['rye2', 450, 'flour'],\n     ['whole wheat1', 333, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1083',\n    'hydration': '4.0',\n    'percentages': [['whole wheat0', '27.7'], ['milk', '4.6'], ['rye2', '41.6'], ['whole wheat1', '30.7'],\n                    ['salt', '0.8']]}]],\n [['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 200, 'flour'], ['salt', 10, 'other'], ['levain', 90, 'starter'], ['egg', 50, 'egg'],\n     ['whole wheat1', 250, 'flour']]],\n   {'flour_total': '495',\n    'hydration': '16.7',\n    'percentages': [['rye0', '40.4'], ['salt', '2.0'], ['levain', '18.2'], ['egg', '10.1'],\n                    ['whole wheat1', '50.5']]}],\n  ['repair check: egg water content',\n   [[['levain', 100, 'starter'], ['water', 377, 'water'], ['egg', 50, 'egg'], ['salt', 10, 'other'],\n     ['whole wheat0', 450, 'flour']]],\n   {'flour_total': '500',\n    'hydration': '92.9',\n    'percentages': [['levain', '20.0'], ['water', '75.4'], ['egg', '10.0'], ['salt', '2.0'],\n                    ['whole wheat0', '90.0']]}],\n  ['generated control 1',\n   [[['water', 325, 'water'], ['spelt0', 100, 'flour'], ['salt', 11, 'other'], ['milk', 100, 'milk'],\n     ['levain', 90, 'starter']]],\n   {'flour_total': '145',\n    'hydration': '315.2',\n    'percentages': [['water', '224.1'], ['spelt0', '69.0'], ['salt', '7.6'], ['milk', '69.0'],\n                    ['levain', '62.1']]}],\n  ['generated control 2',\n   [[['salt', 10, 'other'], ['spelt1', 300, 'flour'], ['bread flour0', 100, 'flour'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '7.0',\n    'percentages': [['salt', '2.3'], ['spelt1', '69.8'], ['bread flour0', '23.3'], ['levain', '14.0']]}],\n  ['generated control 3',\n   [[['whole wheat0', 200, 'flour'], ['salt', 9, 'other'], ['levain', 150, 'starter'],\n     ['water', 377, 'water']]],\n   {'flour_total': '275',\n    'hydration': '164.4',\n    'percentages': [['whole wheat0', '72.7'], ['salt', '3.3'], ['levain', '54.5'], ['water', '137.1']]}]],\n [['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 250, 'flour'], ['whole wheat1', 200, 'flour'], ['egg', 100, 'egg'],\n     ['bread flour2', 100, 'flour'], ['salt', 11, 'other'], ['water', 377, 'water'],\n     ['levain', 150, 'starter'], ['milk', 50, 'milk']]],\n   {'flour_total': '625',\n    'hydration': '91.3',\n    'percentages': [['rye0', '40.0'], ['whole wheat1', '32.0'], ['egg', '16.0'], ['bread flour2', '16.0'],\n                    ['salt', '1.8'], ['water', '60.3'], ['levain', '24.0'], ['milk', '8.0']]}],\n  ['repair check: egg water content',\n   [[['egg', 100, 'egg'], ['milk', 50, 'milk'], ['water', 150, 'water'], ['rye2', 300, 'flour'],\n     ['bread flour1', 450, 'flour'], ['bread flour0', 300, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1050',\n    'hydration': '25.6',\n    'percentages': [['egg', '9.5'], ['milk', '4.8'], ['water', '14.3'], ['rye2', '28.6'],\n                    ['bread flour1', '42.9'], ['bread flour0', '28.6'], ['salt', '0.9']]}],\n  ['generated control 1',\n   [[['salt', 11, 'other'], ['spelt0', 500, 'flour'], ['spelt1', 333, 'flour'], ['water', 325, 'water'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '863',\n    'hydration': '41.1',\n    'percentages': [['salt', '1.3'], ['spelt0', '57.9'], ['spelt1', '38.6'], ['water', '37.7'],\n                    ['levain', '7.0']]}],\n  ['generated control 2',\n   [[['water', 200, 'water'], ['milk', 100, 'milk'], ['salt', 10, 'other'], ['spelt0', 200, 'flour']]],\n   {'flour_total': '200',\n    'hydration': '143.5',\n    'percentages': [['water', '100.0'], ['milk', '50.0'], ['salt', '5.0'], ['spelt0', '100.0']]}],\n  ['generated control 3',\n   [[['salt', 9, 'other'], ['whole wheat1', 100, 'flour'], ['milk', 50, 'milk'],\n     ['bread flour0', 500, 'flour'], ['water', 200, 'water']]],\n   {'flour_total': '600',\n    'hydration': '40.6',\n    'percentages': [['salt', '1.5'], ['whole wheat1', '16.7'], ['milk', '8.3'], ['bread flour0', '83.3'],\n                    ['water', '33.3']]}]],\n [['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['regression: egg water content',\n   [[['water', 377, 'water'], ['levain', 90, 'starter'], ['rye0', 500, 'flour'], ['salt', 10, 'other'],\n     ['egg', 50, 'egg']]],\n   {'flour_total': '545',\n    'hydration': '84.3',\n    'percentages': [['water', '69.2'], ['levain', '16.5'], ['rye0', '91.7'], ['salt', '1.8'],\n                    ['egg', '9.2']]}],\n  ['repair check: egg water content',\n   [[['milk', 120, 'milk'], ['spelt0', 333, 'flour'], ['egg', 100, 'egg'], ['water', 350, 'water'],\n     ['salt', 10, 'other']]],\n   {'flour_total': '333',\n    'hydration': '159.0',\n    'percentages': [['milk', '36.0'], ['spelt0', '100.0'], ['egg', '30.0'], ['water', '105.1'],\n                    ['salt', '3.0']]}],\n  ['generated control 1', [[['rye1', 500, 'flour'], ['salt', 11, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '833',\n    'hydration': '0.0',\n    'percentages': [['rye1', '60.0'], ['salt', '1.3'], ['spelt0', '40.0']]}],\n  ['generated control 2',\n   [[['water', 150, 'water'], ['salt', 11, 'other'], ['spelt1', 200, 'flour'], ['milk', 100, 'milk'],\n     ['rye0', 100, 'flour']]],\n   {'flour_total': '300',\n    'hydration': '79.0',\n    'percentages': [['water', '50.0'], ['salt', '3.7'], ['spelt1', '66.7'], ['milk', '33.3'],\n                    ['rye0', '33.3']]}],\n  ['generated control 3',\n   [[['water', 350, 'water'], ['whole wheat0', 200, 'flour'], ['salt', 10, 'other'],\n     ['bread flour1', 200, 'flour'], ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '88.4',\n    'percentages': [['water', '81.4'], ['whole wheat0', '46.5'], ['salt', '2.3'], ['bread flour1', '46.5'],\n                    ['levain', '14.0']]}]],\n [['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['bread flour0', 300, 'flour'], ['whole wheat1', 100, 'flour'], ['levain', 60, 'starter'],\n     ['egg', 50, 'egg'], ['salt', 10, 'other']]],\n   {'flour_total': '430',\n    'hydration': '15.7',\n    'percentages': [['bread flour0', '69.8'], ['whole wheat1', '23.3'], ['levain', '14.0'], ['egg', '11.6'],\n                    ['salt', '2.3']]}],\n  ['repair check: egg water content',\n   [[['spelt0', 333, 'flour'], ['salt', 11, 'other'], ['egg', 50, 'egg'], ['water', 150, 'water']]],\n   {'flour_total': '333',\n    'hydration': '56.3',\n    'percentages': [['spelt0', '100.0'], ['salt', '3.3'], ['egg', '15.0'], ['water', '45.0']]}],\n  ['generated control 1',\n   [[['bread flour1', 500, 'flour'], ['salt', 10, 'other'], ['spelt0', 500, 'flour'],\n     ['water', 350, 'water']]],\n   {'flour_total': '1000',\n    'hydration': '35.0',\n    'percentages': [['bread flour1', '50.0'], ['salt', '1.0'], ['spelt0', '50.0'], ['water', '35.0']]}],\n  ['generated control 2',\n   [[['spelt0', 333, 'flour'], ['salt', 9, 'other'], ['egg', 100, 'egg'], ['water', 200, 'water']]],\n   {'flour_total': '333',\n    'hydration': '82.6',\n    'percentages': [['spelt0', '100.0'], ['salt', '2.7'], ['egg', '30.0'], ['water', '60.1']]}],\n  ['generated control 3',\n   [[['salt', 10, 'other'], ['rye2', 450, 'flour'], ['whole wheat1', 200, 'flour'],\n     ['spelt0', 200, 'flour']]],\n   {'flour_total': '850',\n    'hydration': '0.0',\n    'percentages': [['salt', '1.2'], ['rye2', '52.9'], ['whole wheat1', '23.5'], ['spelt0', '23.5']]}]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"0b3a43682f140657b0e48577c2a29595c4ae670b9b1b340cf133e6d546a75b9a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(ingredients):\n    starter = sum((Fraction(str(g)) for n, g, r in ingredients if r == 'starter'), Fraction(0))\n    flour = sum(Fraction(str(g)) for n, g, r in ingredients if r == 'flour') + starter / 2\n    if flour == 0:\n        return 'error: no flour'\n    def pct(x):\n        v = math.floor(x * 1000 / flour + Fraction(1, 2))\n        return '%d.%d' % divmod(v, 10)\n    rows = [[n, pct(Fraction(str(g)))] for n, g, r in ingredients]\n    water = Fraction(0)\n    for n, g, r in ingredients:\n        if r == 'water':\n            water += Fraction(str(g))\n        elif r == 'milk':\n            water += Fraction(str(g)) * Fraction(87, 100)\n        elif r == 'egg':\n            water += Fraction(str(g)) * Fraction(3, 4)\n        elif r == 'starter':\n            water += Fraction(str(g)) / 2\n    return {'flour_total': str(flour), 'percentages': rows, 'hydration': pct(water)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['spelt1', 450, 'flour'], ['egg', 100, 'egg'], ['salt', 10, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '783',\n    'hydration': '9.6',\n    'percentages': [['spelt1', '57.5'], ['egg', '12.8'], ['salt', '1.3'], ['spelt0', '42.5']]}],\n  ['repair check: egg water content',\n   [[['salt', 10, 'other'], ['bread flour2', 450, 'flour'], ['rye1', 500, 'flour'],\n     ['bread flour0', 300, 'flour'], ['egg', 100, 'egg']]],\n   {'flour_total': '1250',\n    'hydration': '6.0',\n    'percentages': [['salt', '0.8'], ['bread flour2', '36.0'], ['rye1', '40.0'], ['bread flour0', '24.0'],\n                    ['egg', '8.0']]}],\n  ['generated control 1',\n   [[['whole wheat1', 500, 'flour'], ['bread flour0', 500, 'flour'], ['levain', 100, 'starter'],\n     ['whole wheat2', 100, 'flour'], ['salt', 9, 'other'], ['water', 200, 'water']]],\n   {'flour_total': '1150',\n    'hydration': '21.7',\n    'percentages': [['whole wheat1', '43.5'], ['bread flour0', '43.5'], ['levain', '8.7'],\n                    ['whole wheat2', '8.7'], ['salt', '0.8'], ['water', '17.4']]}],\n  ['generated control 2',\n   [[['levain', 100, 'starter'], ['water', 350, 'water'], ['salt', 11, 'other'],\n     ['whole wheat0', 500, 'flour']]],\n   {'flour_total': '550',\n    'hydration': '72.7',\n    'percentages': [['levain', '18.2'], ['water', '63.6'], ['salt', '2.0'], ['whole wheat0', '90.9']]}],\n  ['generated control 3',\n   [[['whole wheat0', 300, 'flour'], ['milk', 50, 'milk'], ['rye2', 450, 'flour'],\n     ['whole wheat1', 333, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1083',\n    'hydration': '4.0',\n    'percentages': [['whole wheat0', '27.7'], ['milk', '4.6'], ['rye2', '41.6'], ['whole wheat1', '30.7'],\n                    ['salt', '0.8']]}]],\n [['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 200, 'flour'], ['salt', 10, 'other'], ['levain', 90, 'starter'], ['egg', 50, 'egg'],\n     ['whole wheat1', 250, 'flour']]],\n   {'flour_total': '495',\n    'hydration': '16.7',\n    'percentages': [['rye0', '40.4'], ['salt', '2.0'], ['levain', '18.2'], ['egg', '10.1'],\n                    ['whole wheat1', '50.5']]}],\n  ['repair check: egg water content',\n   [[['levain', 100, 'starter'], ['water', 377, 'water'], ['egg', 50, 'egg'], ['salt', 10, 'other'],\n     ['whole wheat0', 450, 'flour']]],\n   {'flour_total': '500',\n    'hydration': '92.9',\n    'percentages': [['levain', '20.0'], ['water', '75.4'], ['egg', '10.0'], ['salt', '2.0'],\n                    ['whole wheat0', '90.0']]}],\n  ['generated control 1',\n   [[['water', 325, 'water'], ['spelt0', 100, 'flour'], ['salt', 11, 'other'], ['milk', 100, 'milk'],\n     ['levain', 90, 'starter']]],\n   {'flour_total': '145',\n    'hydration': '315.2',\n    'percentages': [['water', '224.1'], ['spelt0', '69.0'], ['salt', '7.6'], ['milk', '69.0'],\n                    ['levain', '62.1']]}],\n  ['generated control 2',\n   [[['salt', 10, 'other'], ['spelt1', 300, 'flour'], ['bread flour0', 100, 'flour'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '7.0',\n    'percentages': [['salt', '2.3'], ['spelt1', '69.8'], ['bread flour0', '23.3'], ['levain', '14.0']]}],\n  ['generated control 3',\n   [[['whole wheat0', 200, 'flour'], ['salt', 9, 'other'], ['levain', 150, 'starter'],\n     ['water', 377, 'water']]],\n   {'flour_total': '275',\n    'hydration': '164.4',\n    'percentages': [['whole wheat0', '72.7'], ['salt', '3.3'], ['levain', '54.5'], ['water', '137.1']]}]],\n [['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['regression: egg water content',\n   [[['rye0', 250, 'flour'], ['whole wheat1', 200, 'flour'], ['egg', 100, 'egg'],\n     ['bread flour2', 100, 'flour'], ['salt', 11, 'other'], ['water', 377, 'water'],\n     ['levain', 150, 'starter'], ['milk', 50, 'milk']]],\n   {'flour_total': '625',\n    'hydration': '91.3',\n    'percentages': [['rye0', '40.0'], ['whole wheat1', '32.0'], ['egg', '16.0'], ['bread flour2', '16.0'],\n                    ['salt', '1.8'], ['water', '60.3'], ['levain', '24.0'], ['milk', '8.0']]}],\n  ['repair check: egg water content',\n   [[['egg', 100, 'egg'], ['milk', 50, 'milk'], ['water', 150, 'water'], ['rye2', 300, 'flour'],\n     ['bread flour1', 450, 'flour'], ['bread flour0', 300, 'flour'], ['salt', 9, 'other']]],\n   {'flour_total': '1050',\n    'hydration': '25.6',\n    'percentages': [['egg', '9.5'], ['milk', '4.8'], ['water', '14.3'], ['rye2', '28.6'],\n                    ['bread flour1', '42.9'], ['bread flour0', '28.6'], ['salt', '0.9']]}],\n  ['generated control 1',\n   [[['salt', 11, 'other'], ['spelt0', 500, 'flour'], ['spelt1', 333, 'flour'], ['water', 325, 'water'],\n     ['levain', 60, 'starter']]],\n   {'flour_total': '863',\n    'hydration': '41.1',\n    'percentages': [['salt', '1.3'], ['spelt0', '57.9'], ['spelt1', '38.6'], ['water', '37.7'],\n                    ['levain', '7.0']]}],\n  ['generated control 2',\n   [[['water', 200, 'water'], ['milk', 100, 'milk'], ['salt', 10, 'other'], ['spelt0', 200, 'flour']]],\n   {'flour_total': '200',\n    'hydration': '143.5',\n    'percentages': [['water', '100.0'], ['milk', '50.0'], ['salt', '5.0'], ['spelt0', '100.0']]}],\n  ['generated control 3',\n   [[['salt', 9, 'other'], ['whole wheat1', 100, 'flour'], ['milk', 50, 'milk'],\n     ['bread flour0', 500, 'flour'], ['water', 200, 'water']]],\n   {'flour_total': '600',\n    'hydration': '40.6',\n    'percentages': [['salt', '1.5'], ['whole wheat1', '16.7'], ['milk', '8.3'], ['bread flour0', '83.3'],\n                    ['water', '33.3']]}]],\n [['two flours with levain',\n   [[['bread', 400, 'flour'], ['rye', 100, 'flour'], ['levain', 100, 'starter'], ['water', 330, 'water']]],\n   {'flour_total': '550',\n    'hydration': '69.1',\n    'percentages': [['bread', '72.7'], ['rye', '18.2'], ['levain', '18.2'], ['water', '60.0']]}],\n  ['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['regression: egg water content',\n   [[['water', 377, 'water'], ['levain', 90, 'starter'], ['rye0', 500, 'flour'], ['salt', 10, 'other'],\n     ['egg', 50, 'egg']]],\n   {'flour_total': '545',\n    'hydration': '84.3',\n    'percentages': [['water', '69.2'], ['levain', '16.5'], ['rye0', '91.7'], ['salt', '1.8'],\n                    ['egg', '9.2']]}],\n  ['repair check: egg water content',\n   [[['milk', 120, 'milk'], ['spelt0', 333, 'flour'], ['egg', 100, 'egg'], ['water', 350, 'water'],\n     ['salt', 10, 'other']]],\n   {'flour_total': '333',\n    'hydration': '159.0',\n    'percentages': [['milk', '36.0'], ['spelt0', '100.0'], ['egg', '30.0'], ['water', '105.1'],\n                    ['salt', '3.0']]}],\n  ['generated control 1', [[['rye1', 500, 'flour'], ['salt', 11, 'other'], ['spelt0', 333, 'flour']]],\n   {'flour_total': '833',\n    'hydration': '0.0',\n    'percentages': [['rye1', '60.0'], ['salt', '1.3'], ['spelt0', '40.0']]}],\n  ['generated control 2',\n   [[['water', 150, 'water'], ['salt', 11, 'other'], ['spelt1', 200, 'flour'], ['milk', 100, 'milk'],\n     ['rye0', 100, 'flour']]],\n   {'flour_total': '300',\n    'hydration': '79.0',\n    'percentages': [['water', '50.0'], ['salt', '3.7'], ['spelt1', '66.7'], ['milk', '33.3'],\n                    ['rye0', '33.3']]}],\n  ['generated control 3',\n   [[['water', 350, 'water'], ['whole wheat0', 200, 'flour'], ['salt', 10, 'other'],\n     ['bread flour1', 200, 'flour'], ['levain', 60, 'starter']]],\n   {'flour_total': '430',\n    'hydration': '88.4',\n    'percentages': [['water', '81.4'], ['whole wheat0', '46.5'], ['salt', '2.3'], ['bread flour1', '46.5'],\n                    ['levain', '14.0']]}]],\n [['lean dough control', [[['flour', 500, 'flour'], ['water', 350, 'water'], ['salt', 10, 'other']]],\n   {'flour_total': '500',\n    'hydration': '70.0',\n    'percentages': [['flour', '100.0'], ['water', '70.0'], ['salt', '2.0']]}],\n  ['no flour', [[['water', 100, 'water']]], 'error: no flour'],\n  ['enriched dough', [[['flour', 400, 'flour'], ['milk', 200, 'milk'], ['egg', 100, 'egg']]],\n   {'flour_total': '400',\n    'hydration': '62.3',\n    'percentages': [['flour', '100.0'], ['milk', '50.0'], ['egg', '25.0']]}],\n  ['regression: egg water content',\n   [[['bread flour0', 300, 'flour'], ['whole wheat1', 100, 'flour'], ['levain', 60, 'starter'],\n     ['egg', 50, 'egg'], ['salt', 10, 'other']]],\n   {'flour_total': '430',\n    'hydration': '15.7',\n    'percentages': [['bread flour0', '69.8'], ['whole wheat1', '23.3'], ['levain', '14.0'], ['egg', '11.6'],\n                    ['salt', '2.3']]}],\n  ['repair check: egg water content',\n   [[['spelt0', 333, 'flour'], ['salt', 11, 'other'], ['egg', 50, 'egg'], ['water', 150, 'water']]],\n   {'flour_total': '333',\n    'hydration': '56.3',\n    'percentages': [['spelt0', '100.0'], ['salt', '3.3'], ['egg', '15.0'], ['water', '45.0']]}],\n  ['generated control 1',\n   [[['bread flour1', 500, 'flour'], ['salt', 10, 'other'], ['spelt0', 500, 'flour'],\n     ['water', 350, 'water']]],\n   {'flour_total': '1000',\n    'hydration': '35.0',\n    'percentages': [['bread flour1', '50.0'], ['salt', '1.0'], ['spelt0', '50.0'], ['water', '35.0']]}],\n  ['generated control 2',\n   [[['spelt0', 333, 'flour'], ['salt', 9, 'other'], ['egg', 100, 'egg'], ['water', 200, 'water']]],\n   {'flour_total': '333',\n    'hydration': '82.6',\n    'percentages': [['spelt0', '100.0'], ['salt', '2.7'], ['egg', '30.0'], ['water', '60.1']]}],\n  ['generated control 3',\n   [[['salt', 10, 'other'], ['rye2', 450, 'flour'], ['whole wheat1', 200, 'flour'],\n     ['spelt0', 200, 'flour']]],\n   {'flour_total': '850',\n    'hydration': '0.0',\n    'percentages': [['salt', '1.2'], ['rye2', '52.9'], ['whole wheat1', '23.5'], ['spelt0', '23.5']]}]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"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.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-recipe_scaling_and_nutrition-bakers-percentage-egg-water-content","generated_at":"2026-09-29T14:52:27.496372+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Bread formulas are written and scaled in baker's percentages, and hydration drives dough handling.","repair":"Add 75% of egg weight to hydration water.","root_cause":"Eggs contribute nothing to hydration although they are 75% water.","sha256":"2df44ffee7160e5cae7ebac8d692816fa4fd6834d13aedbf7afaab7b506020f2","title":"Baker's percentage calculator: egg water content · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.447,"exit_code":1,"observations":[{"actual":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"check":"lean dough control","expected":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"passed":true},{"actual":"error: no flour","check":"no flour","expected":"error: no flour","passed":true},{"actual":{"flour_total":"400","hydration":"68.5","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"check":"enriched dough","expected":{"flour_total":"400","hydration":"62.3","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"passed":false},{"actual":{"flour_total":"783","hydration":"12.8","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"check":"regression: egg water content","expected":{"flour_total":"783","hydration":"9.6","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"passed":false},{"actual":{"flour_total":"1250","hydration":"8.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"check":"repair check: egg water content","expected":{"flour_total":"1250","hydration":"6.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"passed":false},{"actual":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"check":"generated control 1","expected":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"passed":true},{"actual":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"check":"generated control 2","expected":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"passed":true},{"actual":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"check":"generated control 3","expected":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"lean dough control\", \"actual\": {\"flour_total\": \"500\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]], \"hydration\": \"70.0\"}, \"expected\": {\"flour_total\": \"500\", \"hydration\": \"70.0\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]]}, \"passed\": true}, {\"check\": \"no flour\", \"actual\": \"error: no flour\", \"expected\": \"error: no flour\", \"passed\": true}, {\"check\": \"enriched dough\", \"actual\": {\"flour_total\": \"400\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]], \"hydration\": \"68.5\"}, \"expected\": {\"flour_total\": \"400\", \"hydration\": \"62.3\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]]}, \"passed\": false}, {\"check\": \"regression: egg water content\", \"actual\": {\"flour_total\": \"783\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]], \"hydration\": \"12.8\"}, \"expected\": {\"flour_total\": \"783\", \"hydration\": \"9.6\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]]}, \"passed\": false}, {\"check\": \"repair check: egg water content\", \"actual\": {\"flour_total\": \"1250\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]], \"hydration\": \"8.0\"}, \"expected\": {\"flour_total\": \"1250\", \"hydration\": \"6.0\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]]}, \"passed\": false}, {\"check\": \"generated control 1\", \"actual\": {\"flour_total\": \"1150\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]], \"hydration\": \"21.7\"}, \"expected\": {\"flour_total\": \"1150\", \"hydration\": \"21.7\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]]}, \"passed\": true}, {\"check\": \"generated control 2\", \"actual\": {\"flour_total\": \"550\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]], \"hydration\": \"72.7\"}, \"expected\": {\"flour_total\": \"550\", \"hydration\": \"72.7\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]]}, \"passed\": true}, {\"check\": \"generated control 3\", \"actual\": {\"flour_total\": \"1083\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]], \"hydration\": \"4.0\"}, \"expected\": {\"flour_total\": \"1083\", \"hydration\": \"4.0\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]]}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.841,"exit_code":1,"observations":[{"actual":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"check":"lean dough control","expected":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"passed":true},{"actual":"error: no flour","check":"no flour","expected":"error: no flour","passed":true},{"actual":{"flour_total":"400","hydration":"43.5","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"check":"enriched dough","expected":{"flour_total":"400","hydration":"62.3","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"passed":false},{"actual":{"flour_total":"783","hydration":"0.0","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"check":"regression: egg water content","expected":{"flour_total":"783","hydration":"9.6","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"passed":false},{"actual":{"flour_total":"1250","hydration":"0.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"check":"repair check: egg water content","expected":{"flour_total":"1250","hydration":"6.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"passed":false},{"actual":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"check":"generated control 1","expected":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"passed":true},{"actual":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"check":"generated control 2","expected":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"passed":true},{"actual":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"check":"generated control 3","expected":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"lean dough control\", \"actual\": {\"flour_total\": \"500\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]], \"hydration\": \"70.0\"}, \"expected\": {\"flour_total\": \"500\", \"hydration\": \"70.0\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]]}, \"passed\": true}, {\"check\": \"no flour\", \"actual\": \"error: no flour\", \"expected\": \"error: no flour\", \"passed\": true}, {\"check\": \"enriched dough\", \"actual\": {\"flour_total\": \"400\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]], \"hydration\": \"43.5\"}, \"expected\": {\"flour_total\": \"400\", \"hydration\": \"62.3\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]]}, \"passed\": false}, {\"check\": \"regression: egg water content\", \"actual\": {\"flour_total\": \"783\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]], \"hydration\": \"0.0\"}, \"expected\": {\"flour_total\": \"783\", \"hydration\": \"9.6\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]]}, \"passed\": false}, {\"check\": \"repair check: egg water content\", \"actual\": {\"flour_total\": \"1250\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]], \"hydration\": \"0.0\"}, \"expected\": {\"flour_total\": \"1250\", \"hydration\": \"6.0\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]]}, \"passed\": false}, {\"check\": \"generated control 1\", \"actual\": {\"flour_total\": \"1150\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]], \"hydration\": \"21.7\"}, \"expected\": {\"flour_total\": \"1150\", \"hydration\": \"21.7\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]]}, \"passed\": true}, {\"check\": \"generated control 2\", \"actual\": {\"flour_total\": \"550\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]], \"hydration\": \"72.7\"}, \"expected\": {\"flour_total\": \"550\", \"hydration\": \"72.7\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]]}, \"passed\": true}, {\"check\": \"generated control 3\", \"actual\": {\"flour_total\": \"1083\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]], \"hydration\": \"4.0\"}, \"expected\": {\"flour_total\": \"1083\", \"hydration\": \"4.0\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]]}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.309,"exit_code":0,"observations":[{"actual":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"check":"lean dough control","expected":{"flour_total":"500","hydration":"70.0","percentages":[["flour","100.0"],["water","70.0"],["salt","2.0"]]},"passed":true},{"actual":"error: no flour","check":"no flour","expected":"error: no flour","passed":true},{"actual":{"flour_total":"400","hydration":"62.3","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"check":"enriched dough","expected":{"flour_total":"400","hydration":"62.3","percentages":[["flour","100.0"],["milk","50.0"],["egg","25.0"]]},"passed":true},{"actual":{"flour_total":"783","hydration":"9.6","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"check":"regression: egg water content","expected":{"flour_total":"783","hydration":"9.6","percentages":[["spelt1","57.5"],["egg","12.8"],["salt","1.3"],["spelt0","42.5"]]},"passed":true},{"actual":{"flour_total":"1250","hydration":"6.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"check":"repair check: egg water content","expected":{"flour_total":"1250","hydration":"6.0","percentages":[["salt","0.8"],["bread flour2","36.0"],["rye1","40.0"],["bread flour0","24.0"],["egg","8.0"]]},"passed":true},{"actual":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"check":"generated control 1","expected":{"flour_total":"1150","hydration":"21.7","percentages":[["whole wheat1","43.5"],["bread flour0","43.5"],["levain","8.7"],["whole wheat2","8.7"],["salt","0.8"],["water","17.4"]]},"passed":true},{"actual":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"check":"generated control 2","expected":{"flour_total":"550","hydration":"72.7","percentages":[["levain","18.2"],["water","63.6"],["salt","2.0"],["whole wheat0","90.9"]]},"passed":true},{"actual":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"check":"generated control 3","expected":{"flour_total":"1083","hydration":"4.0","percentages":[["whole wheat0","27.7"],["milk","4.6"],["rye2","41.6"],["whole wheat1","30.7"],["salt","0.8"]]},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"lean dough control\", \"actual\": {\"flour_total\": \"500\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]], \"hydration\": \"70.0\"}, \"expected\": {\"flour_total\": \"500\", \"hydration\": \"70.0\", \"percentages\": [[\"flour\", \"100.0\"], [\"water\", \"70.0\"], [\"salt\", \"2.0\"]]}, \"passed\": true}, {\"check\": \"no flour\", \"actual\": \"error: no flour\", \"expected\": \"error: no flour\", \"passed\": true}, {\"check\": \"enriched dough\", \"actual\": {\"flour_total\": \"400\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]], \"hydration\": \"62.3\"}, \"expected\": {\"flour_total\": \"400\", \"hydration\": \"62.3\", \"percentages\": [[\"flour\", \"100.0\"], [\"milk\", \"50.0\"], [\"egg\", \"25.0\"]]}, \"passed\": true}, {\"check\": \"regression: egg water content\", \"actual\": {\"flour_total\": \"783\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]], \"hydration\": \"9.6\"}, \"expected\": {\"flour_total\": \"783\", \"hydration\": \"9.6\", \"percentages\": [[\"spelt1\", \"57.5\"], [\"egg\", \"12.8\"], [\"salt\", \"1.3\"], [\"spelt0\", \"42.5\"]]}, \"passed\": true}, {\"check\": \"repair check: egg water content\", \"actual\": {\"flour_total\": \"1250\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]], \"hydration\": \"6.0\"}, \"expected\": {\"flour_total\": \"1250\", \"hydration\": \"6.0\", \"percentages\": [[\"salt\", \"0.8\"], [\"bread flour2\", \"36.0\"], [\"rye1\", \"40.0\"], [\"bread flour0\", \"24.0\"], [\"egg\", \"8.0\"]]}, \"passed\": true}, {\"check\": \"generated control 1\", \"actual\": {\"flour_total\": \"1150\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]], \"hydration\": \"21.7\"}, \"expected\": {\"flour_total\": \"1150\", \"hydration\": \"21.7\", \"percentages\": [[\"whole wheat1\", \"43.5\"], [\"bread flour0\", \"43.5\"], [\"levain\", \"8.7\"], [\"whole wheat2\", \"8.7\"], [\"salt\", \"0.8\"], [\"water\", \"17.4\"]]}, \"passed\": true}, {\"check\": \"generated control 2\", \"actual\": {\"flour_total\": \"550\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]], \"hydration\": \"72.7\"}, \"expected\": {\"flour_total\": \"550\", \"hydration\": \"72.7\", \"percentages\": [[\"levain\", \"18.2\"], [\"water\", \"63.6\"], [\"salt\", \"2.0\"], [\"whole wheat0\", \"90.9\"]]}, \"passed\": true}, {\"check\": \"generated control 3\", \"actual\": {\"flour_total\": \"1083\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]], \"hydration\": \"4.0\"}, \"expected\": {\"flour_total\": \"1083\", \"hydration\": \"4.0\", \"percentages\": [[\"whole wheat0\", \"27.7\"], [\"milk\", \"4.6\"], [\"rye2\", \"41.6\"], [\"whole wheat1\", \"30.7\"], [\"salt\", \"0.8\"]]}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}