{"abstract":"Crafting at the yellow threshold still guarantees a skill-up.","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":"Moving the boundary down turns the last orange point yellow.","family":"w2-game-economy-crafting-balance-profession-skillup-orange-boundary","id":"FA-86241","implementations":{"attempt":{"sha256":"bfa1633080cc0f42aa649fd0891e97dad6cfff09df7c46b7e63c10ae23309656","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 - 1:\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 = [[('fault site orange boundary #1',\n   [118, [118, 118, 123, 131], [75, 0, 66, 99, 25]],\n   {'skill': 121, 'ups': 3}),\n  ('fault site orange boundary #2', [239, [232, 239, 246, 246], [75]], {'skill': 239, 'ups': 0}),\n  ('partial repair boundary #1', [60, [55, 61, 68, 78], [99, 0]], {'skill': 62, 'ups': 2}),\n  ('partial repair boundary #2', [104, [98, 105, 115, 129], [99, 25, 99, 99]], {'skill': 106, 'ups': 2}),\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  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('fault site orange boundary #1',\n   [90, [90, 94, 100, 110], [24, 74, 24, 24, 75, 75, 74]],\n   {'skill': 95, 'ups': 5}),\n  ('fault site orange boundary #2', [85, [79, 85, 99, 110], [75, 0, 69, 23]], {'skill': 88, 'ups': 3}),\n  ('partial repair boundary #1', [44, [39, 45, 51, 58], [75, 0]], {'skill': 46, 'ups': 2}),\n  ('partial repair boundary #2', [218, [218, 220, 224, 239], [74, 99]], {'skill': 220, 'ups': 2}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0}),\n  ('control #2', [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]], {'skill': 85, 'ups': 1})],\n [('fault site orange boundary #1', [265, [265, 266, 266, 277], [0, 75, 0, 0, 24]], {'skill': 269, 'ups': 4}),\n  ('fault site orange boundary #2',\n   [228, [227, 234, 240, 240], [0, 99, 75, 0, 75, 7, 75]],\n   {'skill': 234, 'ups': 6}),\n  ('partial repair boundary #1',\n   [122, [122, 128, 142, 150], [24, 74, 0, 75, 99, 99]],\n   {'skill': 128, 'ups': 6}),\n  ('partial repair boundary #2', [80, [79, 81, 96, 100], [75, 53]], {'skill': 82, 'ups': 2}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('control #1', [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]], {'skill': 85, 'ups': 1}),\n  ('control #2', [289, [288, 314, 330, 340], [50, 0, 50, 0, 0]], {'skill': 294, 'ups': 5})],\n [('fault site orange boundary #1', [182, [167, 182, 188, 193], [76, 0]], {'skill': 183, 'ups': 1}),\n  ('fault site orange boundary #2',\n   [148, [139, 148, 148, 161], [74, 25, 24, 0, 74, 25, 75, 25]],\n   {'skill': 150, 'ups': 2}),\n  ('partial repair boundary #1', [181, [180, 182, 184, 187], [99, 16]], {'skill': 183, 'ups': 2}),\n  ('partial repair boundary #2', [199, [190, 200, 202, 208], [75, 25, 0, 99]], {'skill': 202, 'ups': 3}),\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}),\n  ('control #2', [36, [33, 37, 40, 42], [24, 25, 24]], {'skill': 39, 'ups': 3})],\n [('fault site orange boundary #1',\n   [22, [18, 23, 29, 43], [25, 99, 25, 24, 24, 99, 25, 74]],\n   {'skill': 28, 'ups': 6}),\n  ('fault site orange boundary #2',\n   [91, [76, 91, 95, 102], [75, 34, 24, 25, 75, 99, 75]],\n   {'skill': 94, 'ups': 3}),\n  ('partial repair boundary #1', [21, [8, 22, 25, 32], [75, 25, 74]], {'skill': 24, 'ups': 3}),\n  ('partial repair boundary #2', [196, [194, 200, 202, 202], [75, 24, 75, 94]], {'skill': 200, 'ups': 4}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('control #1', [299, [277, 291, 302, 311], [74, 74, 74, 75, 14, 25, 25, 99]], {'skill': 300, 'ups': 1}),\n  ('control #2', [100, [90, 100, 102, 105], [25, 25, 75]], {'skill': 102, 'ups': 2})]]\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":"09139a3a07164626f2bcac409ce44011fe77ef5b2788ef49c8e23ae7581f370f","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 = [[('fault site orange boundary #1',\n   [118, [118, 118, 123, 131], [75, 0, 66, 99, 25]],\n   {'skill': 121, 'ups': 3}),\n  ('fault site orange boundary #2', [239, [232, 239, 246, 246], [75]], {'skill': 239, 'ups': 0}),\n  ('partial repair boundary #1', [60, [55, 61, 68, 78], [99, 0]], {'skill': 62, 'ups': 2}),\n  ('partial repair boundary #2', [104, [98, 105, 115, 129], [99, 25, 99, 99]], {'skill': 106, 'ups': 2}),\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  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0})],\n [('fault site orange boundary #1',\n   [90, [90, 94, 100, 110], [24, 74, 24, 24, 75, 75, 74]],\n   {'skill': 95, 'ups': 5}),\n  ('fault site orange boundary #2', [85, [79, 85, 99, 110], [75, 0, 69, 23]], {'skill': 88, 'ups': 3}),\n  ('partial repair boundary #1', [44, [39, 45, 51, 58], [75, 0]], {'skill': 46, 'ups': 2}),\n  ('partial repair boundary #2', [218, [218, 220, 224, 239], [74, 99]], {'skill': 220, 'ups': 2}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('control #1', [23, [8, 14, 23, 38], [75]], {'skill': 23, 'ups': 0}),\n  ('control #2', [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]], {'skill': 85, 'ups': 1})],\n [('fault site orange boundary #1', [265, [265, 266, 266, 277], [0, 75, 0, 0, 24]], {'skill': 269, 'ups': 4}),\n  ('fault site orange boundary #2',\n   [228, [227, 234, 240, 240], [0, 99, 75, 0, 75, 7, 75]],\n   {'skill': 234, 'ups': 6}),\n  ('partial repair boundary #1',\n   [122, [122, 128, 142, 150], [24, 74, 0, 75, 99, 99]],\n   {'skill': 128, 'ups': 6}),\n  ('partial repair boundary #2', [80, [79, 81, 96, 100], [75, 53]], {'skill': 82, 'ups': 2}),\n  ('at cap #1', [299, [200, 250, 275, 320], [0, 0]], {'skill': 300, 'ups': 1}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('control #1', [84, [64, 70, 80, 85], [0, 99, 75, 25, 25, 99, 75, 0]], {'skill': 85, 'ups': 1}),\n  ('control #2', [289, [288, 314, 330, 340], [50, 0, 50, 0, 0]], {'skill': 294, 'ups': 5})],\n [('fault site orange boundary #1', [182, [167, 182, 188, 193], [76, 0]], {'skill': 183, 'ups': 1}),\n  ('fault site orange boundary #2',\n   [148, [139, 148, 148, 161], [74, 25, 24, 0, 74, 25, 75, 25]],\n   {'skill': 150, 'ups': 2}),\n  ('partial repair boundary #1', [181, [180, 182, 184, 187], [99, 16]], {'skill': 183, 'ups': 2}),\n  ('partial repair boundary #2', [199, [190, 200, 202, 208], [75, 25, 0, 99]], {'skill': 202, 'ups': 3}),\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}),\n  ('control #2', [36, [33, 37, 40, 42], [24, 25, 24]], {'skill': 39, 'ups': 3})],\n [('fault site orange boundary #1',\n   [22, [18, 23, 29, 43], [25, 99, 25, 24, 24, 99, 25, 74]],\n   {'skill': 28, 'ups': 6}),\n  ('fault site orange boundary #2',\n   [91, [76, 91, 95, 102], [75, 34, 24, 25, 75, 99, 75]],\n   {'skill': 94, 'ups': 3}),\n  ('partial repair boundary #1', [21, [8, 22, 25, 32], [75, 25, 74]], {'skill': 24, 'ups': 3}),\n  ('partial repair boundary #2', [196, [194, 200, 202, 202], [75, 24, 75, 94]], {'skill': 200, 'ups': 4}),\n  ('gray recipe roll zero #1', [90, [50, 60, 70, 80], [0, 0]], {'skill': 90, 'ups': 0}),\n  ('exactly at learn level #1', [50, [50, 60, 70, 80], [0]], {'skill': 51, 'ups': 1}),\n  ('control #1', [299, [277, 291, 302, 311], [74, 74, 74, 75, 14, 25, 25, 99]], {'skill': 300, 'ups': 1}),\n  ('control #2', [100, [90, 100, 102, 105], [25, 25, 75]], {'skill': 102, 'ups': 2})]]\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-orange-boundary","generated_at":"2026-09-29T14:50:47.678751+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 orange test includes the yellow threshold.","sha256":"94dcfab519ed12f9efcacd2083a22e679dc460813fab1fcc4796d3f63a597b9e","title":"Profession skill-up colors: Yellow threshold stays orange · 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":41.253,"exit_code":1,"observations":[{"actual":{"skill":121,"ups":3},"check":"fault site orange boundary #1","expected":{"skill":121,"ups":3},"passed":true},{"actual":{"skill":239,"ups":0},"check":"fault site orange boundary #2","expected":{"skill":239,"ups":0},"passed":true},{"actual":{"skill":61,"ups":1},"check":"partial repair boundary #1","expected":{"skill":62,"ups":2},"passed":false},{"actual":{"skill":105,"ups":1},"check":"partial repair boundary #2","expected":{"skill":106,"ups":2},"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":90,"ups":0},"check":"gray recipe roll zero #1","expected":{"skill":90,"ups":0},"passed":true},{"actual":{"skill":23,"ups":0},"check":"control #1","expected":{"skill":23,"ups":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fault site orange boundary #1\", \"actual\": {\"skill\": 121, \"ups\": 3}, \"expected\": {\"skill\": 121, \"ups\": 3}, \"passed\": true}, {\"check\": \"fault site orange boundary #2\", \"actual\": {\"skill\": 239, \"ups\": 0}, \"expected\": {\"skill\": 239, \"ups\": 0}, \"passed\": true}, {\"check\": \"partial repair boundary #1\", \"actual\": {\"skill\": 61, \"ups\": 1}, \"expected\": {\"skill\": 62, \"ups\": 2}, \"passed\": false}, {\"check\": \"partial repair boundary #2\", \"actual\": {\"skill\": 105, \"ups\": 1}, \"expected\": {\"skill\": 106, \"ups\": 2}, \"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\": \"gray recipe roll zero #1\", \"actual\": {\"skill\": 90, \"ups\": 0}, \"expected\": {\"skill\": 90, \"ups\": 0}, \"passed\": true}, {\"check\": \"control #1\", \"actual\": {\"skill\": 23, \"ups\": 0}, \"expected\": {\"skill\": 23, \"ups\": 0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":40.986,"exit_code":1,"observations":[{"actual":{"skill":122,"ups":4},"check":"fault site orange boundary #1","expected":{"skill":121,"ups":3},"passed":false},{"actual":{"skill":240,"ups":1},"check":"fault site orange boundary #2","expected":{"skill":239,"ups":0},"passed":false},{"actual":{"skill":62,"ups":2},"check":"partial repair boundary #1","expected":{"skill":62,"ups":2},"passed":true},{"actual":{"skill":106,"ups":2},"check":"partial repair boundary #2","expected":{"skill":106,"ups":2},"passed":true},{"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":90,"ups":0},"check":"gray recipe roll zero #1","expected":{"skill":90,"ups":0},"passed":true},{"actual":{"skill":23,"ups":0},"check":"control #1","expected":{"skill":23,"ups":0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fault site orange boundary #1\", \"actual\": {\"skill\": 122, \"ups\": 4}, \"expected\": {\"skill\": 121, \"ups\": 3}, \"passed\": false}, {\"check\": \"fault site orange boundary #2\", \"actual\": {\"skill\": 240, \"ups\": 1}, \"expected\": {\"skill\": 239, \"ups\": 0}, \"passed\": false}, {\"check\": \"partial repair boundary #1\", \"actual\": {\"skill\": 62, \"ups\": 2}, \"expected\": {\"skill\": 62, \"ups\": 2}, \"passed\": true}, {\"check\": \"partial repair boundary #2\", \"actual\": {\"skill\": 106, \"ups\": 2}, \"expected\": {\"skill\": 106, \"ups\": 2}, \"passed\": true}, {\"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\": \"gray recipe roll zero #1\", \"actual\": {\"skill\": 90, \"ups\": 0}, \"expected\": {\"skill\": 90, \"ups\": 0}, \"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."}}