{"abstract":"Trivial recipes keep leveling the profession.","category":"Game economy crafting balance","checks":8,"contract":"recipe_levels = [learn, yellow, green, gray]. Skill below learn cannot craft (error \"too low\"). Per roll (0..99), while skill < 300: chance 100 below yellow (orange), 75 below green, 25 below gray, else 0; the skill goes up when roll < chance and the color is re-evaluated each craft.","contract_signature":"skill, recipe_levels, rolls","evaluation_group":"w2-game-economy-crafting-balance-profession-skillup","failed_approach":"Including the gray threshold keeps one gray level green.","family":"w2-game-economy-crafting-balance-profession-skillup-gray-cutoff","id":"FA-86246","implementations":{"attempt":{"sha256":"8e7657b230d6f17497df4007d0653d878c27bfbfd50aeb42a10de094d9fbb453","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(skill, recipe_levels, rolls):\n    learn, yellow, green, gray = recipe_levels\n    if skill < learn:\n        return {'skill': skill, 'ups': 0, 'error': 'too low'}\n    ups = 0\n    for r in rolls:\n        if skill >= 300:\n            break\n        if skill < yellow:\n            chance = 100\n        elif skill < green:\n            chance = 75\n        elif skill <= gray:\n            chance = 25\n        else:\n            chance = 0\n        if r < chance:\n            skill += 1\n            ups += 1\n    return {'skill': skill, 'ups': ups}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]],\n   {'skill': 85, 'ups': 1}),\n  ('fault site gray cutoff #1', [299, [55, 58, 59, 62], [9]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2', [212, [198, 209, 212, 213], [0, 74, 99, 0]], {'skill': 213, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [55, 58, 59, 62], [9]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #1', [212, [198, 209, 212, 213], [0, 74, 99, 0]], {'skill': 213, 'ups': 1}),\n  ('regression gray cutoff #2',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [266, [252, 263, 265, 266], [9, 0, 0, 74, 0, 25, 75, 24]],\n   {'skill': 266, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [242, 253, 255, 270], [25, 25, 24, 24]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('regression gray cutoff #2', [39, [5, 20, 32, 40], [0, 92, 24]], {'skill': 40, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [294, [271, 275, 290, 294], [76, 25, 0, 74, 74, 99]],\n   {'skill': 294, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [266, [252, 263, 265, 266], [9, 0, 0, 74, 0, 25, 75, 24]],\n   {'skill': 266, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [70, 74, 83, 98], [0, 24, 99]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2',\n   [78, [55, 67, 76, 79], [0, 99, 0, 56, 99, 24, 99, 74]],\n   {'skill': 79, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [172, [139, 152, 164, 172], [24, 99, 25, 74, 24, 79, 96]],\n   {'skill': 172, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [289, [288, 314, 330, 340], [50, 0, 50, 0, 0]], {'skill': 294, 'ups': 5})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1', [39, [5, 20, 32, 40], [0, 92, 24]], {'skill': 40, 'ups': 1}),\n  ('fault site gray cutoff #1',\n   [299, [75, 85, 89, 103], [52, 99, 25, 79, 0, 8, 66]],\n   {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2', [131, [105, 116, 125, 131], [0]], {'skill': 131, 'ups': 0}),\n  ('regression gray cutoff #3', [138, [110, 117, 128, 138], [0, 99, 99, 53]], {'skill': 138, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [142, [114, 127, 141, 154], [0, 25, 0, 52, 99, 0, 24, 75]], {'skill': 146, 'ups': 4})]]\nfor label, args, expected in cases[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":"27f9f0eab675f2752efc4796a6508f31d6779a99a92127d8262c960ef163e935","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(skill, recipe_levels, rolls):\n    learn, yellow, green, gray = recipe_levels\n    if skill < learn:\n        return {'skill': skill, 'ups': 0, 'error': 'too low'}\n    ups = 0\n    for r in rolls:\n        if skill >= 300:\n            break\n        if skill < yellow:\n            chance = 100\n        elif skill < green:\n            chance = 75\n        else:\n            chance = 25\n        if r < chance:\n            skill += 1\n            ups += 1\n    return {'skill': skill, 'ups': ups}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]],\n   {'skill': 85, 'ups': 1}),\n  ('fault site gray cutoff #1', [299, [55, 58, 59, 62], [9]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2', [212, [198, 209, 212, 213], [0, 74, 99, 0]], {'skill': 213, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [55, 58, 59, 62], [9]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #1', [212, [198, 209, 212, 213], [0, 74, 99, 0]], {'skill': 213, 'ups': 1}),\n  ('regression gray cutoff #2',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [266, [252, 263, 265, 266], [9, 0, 0, 74, 0, 25, 75, 24]],\n   {'skill': 266, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [242, 253, 255, 270], [25, 25, 24, 24]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [178, [157, 164, 168, 179], [24, 69, 99, 74, 75, 74, 33, 0]],\n   {'skill': 179, 'ups': 1}),\n  ('regression gray cutoff #2', [39, [5, 20, 32, 40], [0, 92, 24]], {'skill': 40, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [294, [271, 275, 290, 294], [76, 25, 0, 74, 74, 99]],\n   {'skill': 294, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1',\n   [266, [252, 263, 265, 266], [9, 0, 0, 74, 0, 25, 75, 24]],\n   {'skill': 266, 'ups': 0}),\n  ('fault site gray cutoff #1', [299, [70, 74, 83, 98], [0, 24, 99]], {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2',\n   [78, [55, 67, 76, 79], [0, 99, 0, 56, 99, 24, 99, 74]],\n   {'skill': 79, 'ups': 1}),\n  ('regression gray cutoff #3',\n   [172, [139, 152, 164, 172], [24, 99, 25, 74, 24, 79, 96]],\n   {'skill': 172, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [289, [288, 314, 330, 340], [50, 0, 50, 0, 0]], {'skill': 294, 'ups': 5})],\n [('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('regression gray cutoff #1', [39, [5, 20, 32, 40], [0, 92, 24]], {'skill': 40, 'ups': 1}),\n  ('fault site gray cutoff #1',\n   [299, [75, 85, 89, 103], [52, 99, 25, 79, 0, 8, 66]],\n   {'skill': 299, 'ups': 0}),\n  ('regression gray cutoff #2', [131, [105, 116, 125, 131], [0]], {'skill': 131, 'ups': 0}),\n  ('regression gray cutoff #3', [138, [110, 117, 128, 138], [0, 99, 99, 53]], {'skill': 138, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('control #1', [142, [114, 127, 141, 154], [0, 25, 0, 52, 99, 0, 24, 75]], {'skill': 146, 'ups': 4})]]\nfor label, args, expected in cases[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":"Deterministic toy contract stipulated for this model; integer or exact arithmetic only, not a reproduction of any specific game engine. 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-game-economy-crafting-balance-profession-skillup-gray-cutoff","generated_at":"2026-09-29T14:50:47.716471+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Game economies leak or destroy currency when one crafting or pricing rule is off by one boundary, rounding stage or state update; the defect is observable in exact integer outcomes.","root_cause":"The gray branch is missing and gray recipes keep the green chance.","sha256":"903f6924c44100f697ac61a10e3e14a367a3119c9d76c5f36c1147411d9f6cf7","title":"Profession skill-up colors: Gray recipes still grant skill · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":39.034,"exit_code":1,"observations":[{"actual":{"skill":90,"ups":0},"check":"gray recipe roll zero #1","expected":{"skill":90,"ups":0},"passed":true},{"actual":{"skill":86,"ups":2},"check":"regression gray cutoff #1","expected":{"skill":85,"ups":1},"passed":false},{"actual":{"skill":299,"ups":0},"check":"fault site gray cutoff #1","expected":{"skill":299,"ups":0},"passed":true},{"actual":{"skill":214,"ups":2},"check":"regression gray cutoff #2","expected":{"skill":213,"ups":1},"passed":false},{"actual":{"skill":180,"ups":2},"check":"regression gray cutoff #3","expected":{"skill":179,"ups":1},"passed":false},{"actual":{"skill":51,"ups":1},"check":"exactly at learn level #1","expected":{"skill":51,"ups":1},"passed":true},{"actual":{"skill":300,"ups":1},"check":"at cap #1","expected":{"skill":300,"ups":1},"passed":true},{"actual":{"skill":23,"ups":0},"check":"control #1","expected":{"skill":23,"ups":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"gray recipe roll zero #1\", \"actual\": {\"skill\": 90, \"ups\": 0}, \"expected\": {\"skill\": 90, \"ups\": 0}, \"passed\": true}, {\"check\": \"regression gray cutoff #1\", \"actual\": {\"skill\": 86, \"ups\": 2}, \"expected\": {\"skill\": 85, \"ups\": 1}, \"passed\": false}, {\"check\": \"fault site gray cutoff #1\", \"actual\": {\"skill\": 299, \"ups\": 0}, \"expected\": {\"skill\": 299, \"ups\": 0}, \"passed\": true}, {\"check\": \"regression gray cutoff #2\", \"actual\": {\"skill\": 214, \"ups\": 2}, \"expected\": {\"skill\": 213, \"ups\": 1}, \"passed\": false}, {\"check\": \"regression gray cutoff #3\", \"actual\": {\"skill\": 180, \"ups\": 2}, \"expected\": {\"skill\": 179, \"ups\": 1}, \"passed\": false}, {\"check\": \"exactly at learn level #1\", \"actual\": {\"skill\": 51, \"ups\": 1}, \"expected\": {\"skill\": 51, \"ups\": 1}, \"passed\": true}, {\"check\": \"at cap #1\", \"actual\": {\"skill\": 300, \"ups\": 1}, \"expected\": {\"skill\": 300, \"ups\": 1}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"skill\": 23, \"ups\": 0}, \"expected\": {\"skill\": 23, \"ups\": 0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.573,"exit_code":1,"observations":[{"actual":{"skill":92,"ups":2},"check":"gray recipe roll zero #1","expected":{"skill":90,"ups":0},"passed":false},{"actual":{"skill":86,"ups":2},"check":"regression gray cutoff #1","expected":{"skill":85,"ups":1},"passed":false},{"actual":{"skill":300,"ups":1},"check":"fault site gray cutoff #1","expected":{"skill":299,"ups":0},"passed":false},{"actual":{"skill":214,"ups":2},"check":"regression gray cutoff #2","expected":{"skill":213,"ups":1},"passed":false},{"actual":{"skill":180,"ups":2},"check":"regression gray cutoff #3","expected":{"skill":179,"ups":1},"passed":false},{"actual":{"skill":51,"ups":1},"check":"exactly at learn level #1","expected":{"skill":51,"ups":1},"passed":true},{"actual":{"skill":300,"ups":1},"check":"at cap #1","expected":{"skill":300,"ups":1},"passed":true},{"actual":{"skill":23,"ups":0},"check":"control #1","expected":{"skill":23,"ups":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"gray recipe roll zero #1\", \"actual\": {\"skill\": 92, \"ups\": 2}, \"expected\": {\"skill\": 90, \"ups\": 0}, \"passed\": false}, {\"check\": \"regression gray cutoff #1\", \"actual\": {\"skill\": 86, \"ups\": 2}, \"expected\": {\"skill\": 85, \"ups\": 1}, \"passed\": false}, {\"check\": \"fault site gray cutoff #1\", \"actual\": {\"skill\": 300, \"ups\": 1}, \"expected\": {\"skill\": 299, \"ups\": 0}, \"passed\": false}, {\"check\": \"regression gray cutoff #2\", \"actual\": {\"skill\": 214, \"ups\": 2}, \"expected\": {\"skill\": 213, \"ups\": 1}, \"passed\": false}, {\"check\": \"regression gray cutoff #3\", \"actual\": {\"skill\": 180, \"ups\": 2}, \"expected\": {\"skill\": 179, \"ups\": 1}, \"passed\": false}, {\"check\": \"exactly at learn level #1\", \"actual\": {\"skill\": 51, \"ups\": 1}, \"expected\": {\"skill\": 51, \"ups\": 1}, \"passed\": true}, {\"check\": \"at cap #1\", \"actual\": {\"skill\": 300, \"ups\": 1}, \"expected\": {\"skill\": 300, \"ups\": 1}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"skill\": 23, \"ups\": 0}, \"expected\": {\"skill\": 23, \"ups\": 0}, \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}