{"abstract":"A huge gain leaves an overfull xp bar.","category":"Game economy crafting balance","checks":8,"contract":"Level L needs 80 + 20*L xp to reach L+1; max level 50. Gains are ignored once level 50 is reached (rested untouched). For each gain g: bonus = min(g, rested) is added on top of g and removed from the rested pool; then as many levels as possible are taken, carrying remaining xp; on reaching level 50 the xp bar is set to 0. Returns [level, xp, rested].","contract_signature":"level, xp, gains, rested","evaluation_group":"w2-game-economy-crafting-balance-rested-xp","failed_approach":"Stopping the loop at level 49 makes the level cap unreachable.","family":"w2-game-economy-crafting-balance-rested-xp-multi-level-carry","id":"FA-86321","implementations":{"attempt":{"sha256":"823177b2dbd3c14a3109bd84370d61f55cd458eb9a17698c45b123dcf0540672","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(level, xp, gains, rested):\n    for g in gains:\n        if level >= 50:\n            break\n        bonus = min(g, rested)\n        rested -= bonus\n        xp += g + bonus\n        while level < 49 and xp >= 80 + 20 * level:\n            xp -= 80 + 20 * level\n            level += 1\n        if level >= 50:\n            xp = 0\n    return [level, xp, rested]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [5, 79, [100, 10, 2000], 0], [13, 189, 0]),\n  ('fault site multi-level carry #2', [29, 125, [2000], 0], [32, 85, 0]),\n  ('partial repair boundary #1', [49, 56, [516, 2000], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 57, [300, 2000, 274], 0], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [29, 125, [2000], 0], [32, 85, 0]),\n  ('fault site multi-level carry #2', [1, 37, [100, 100, 2000], 1000], [15, 17, 0]),\n  ('partial repair boundary #1', [49, 101, [300, 300, 100, 99, 100], 1000], [50, 0, 400]),\n  ('partial repair boundary #2', [49, 62, [99, 10, 2000, 99], 0], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [1, 19, [50, 2000, 50], 1000], [14, 259, 0]),\n  ('fault site multi-level carry #2', [5, 125, [82, 2000, 10, 10, 2000], 0], [18, 327, 0]),\n  ('partial repair boundary #1', [49, 90, [2000, 89], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 126, [2000, 99], 345], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [30, 136, [2000, 100], 1000], [34, 396, 0]),\n  ('fault site multi-level carry #2', [5, 48, [2000, 2000, 50, 100], 310], [19, 168, 0]),\n  ('partial repair boundary #1', [49, 62, [300, 393, 300, 300], 0], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 50, [2000, 50], 1000], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [50, 56, [99], 100], [50, 56, 100])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [1, 68, [2000], 30], [11, 198, 0]),\n  ('fault site multi-level carry #2', [1, 130, [300, 99], 1000], [7, 28, 601]),\n  ('partial repair boundary #1', [49, 47, [100, 10, 2000, 99], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 132, [300, 50, 99, 99], 1000], [50, 0, 452]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [5, 79, [300], 0], [6, 199, 0])]]\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":"a325806808bc394cff9c49ff512a313c24ac1abdea099188f42d67d9526fa175","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(level, xp, gains, rested):\n    for g in gains:\n        if level >= 50:\n            break\n        bonus = min(g, rested)\n        rested -= bonus\n        xp += g + bonus\n        if level < 50 and xp >= 80 + 20 * level:\n            xp -= 80 + 20 * level\n            level += 1\n        if level >= 50:\n            xp = 0\n    return [level, xp, rested]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncases = [[('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [5, 79, [100, 10, 2000], 0], [13, 189, 0]),\n  ('fault site multi-level carry #2', [29, 125, [2000], 0], [32, 85, 0]),\n  ('partial repair boundary #1', [49, 56, [516, 2000], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 57, [300, 2000, 274], 0], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [29, 125, [2000], 0], [32, 85, 0]),\n  ('fault site multi-level carry #2', [1, 37, [100, 100, 2000], 1000], [15, 17, 0]),\n  ('partial repair boundary #1', [49, 101, [300, 300, 100, 99, 100], 1000], [50, 0, 400]),\n  ('partial repair boundary #2', [49, 62, [99, 10, 2000, 99], 0], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [1, 19, [50, 2000, 50], 1000], [14, 259, 0]),\n  ('fault site multi-level carry #2', [5, 125, [82, 2000, 10, 10, 2000], 0], [18, 327, 0]),\n  ('partial repair boundary #1', [49, 90, [2000, 89], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 126, [2000, 99], 345], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [48, 123, [50, 10, 420], 100], [48, 703, 0])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [30, 136, [2000, 100], 1000], [34, 396, 0]),\n  ('fault site multi-level carry #2', [5, 48, [2000, 2000, 50, 100], 310], [19, 168, 0]),\n  ('partial repair boundary #1', [49, 62, [300, 393, 300, 300], 0], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 50, [2000, 50], 1000], [50, 0, 0]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [50, 56, [99], 100], [50, 56, 100])],\n [('multi-level gain #1', [1, 0, [300], 0], [3, 80, 0]),\n  ('fault site multi-level carry #1', [1, 68, [2000], 30], [11, 198, 0]),\n  ('fault site multi-level carry #2', [1, 130, [300, 99], 1000], [7, 28, 601]),\n  ('partial repair boundary #1', [49, 47, [100, 10, 2000, 99], 100], [50, 0, 0]),\n  ('partial repair boundary #2', [49, 132, [300, 50, 99, 99], 1000], [50, 0, 452]),\n  ('exact threshold #1', [10, 0, [280], 0], [11, 0, 0]),\n  ('gain at cap keeps rested #1', [50, 0, [100], 40], [50, 0, 40]),\n  ('control #1', [5, 79, [300], 0], [6, 199, 0])]]\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-rested-xp-multi-level-carry","generated_at":"2026-09-29T14:50:48.567119+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":"Level-up is checked once per gain instead of looping.","sha256":"35f434679f409fd2ff2c5674ffb48a5215ca2eee1bde811aa80ef27c6e3015cd","title":"Crafting XP with rested pool: Only one level per gain · 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":38.563,"exit_code":1,"observations":[{"actual":[3,80,0],"check":"multi-level gain #1","expected":[3,80,0],"passed":true},{"actual":[13,189,0],"check":"fault site multi-level carry #1","expected":[13,189,0],"passed":true},{"actual":[32,85,0],"check":"fault site multi-level carry #2","expected":[32,85,0],"passed":true},{"actual":[49,2672,0],"check":"partial repair boundary #1","expected":[50,0,0],"passed":false},{"actual":[49,2631,0],"check":"partial repair boundary #2","expected":[50,0,0],"passed":false},{"actual":[11,0,0],"check":"exact threshold #1","expected":[11,0,0],"passed":true},{"actual":[50,0,40],"check":"gain at cap keeps rested #1","expected":[50,0,40],"passed":true},{"actual":[48,703,0],"check":"control #1","expected":[48,703,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"multi-level gain #1\", \"actual\": [3, 80, 0], \"expected\": [3, 80, 0], \"passed\": true}, {\"check\": \"fault site multi-level carry #1\", \"actual\": [13, 189, 0], \"expected\": [13, 189, 0], \"passed\": true}, {\"check\": \"fault site multi-level carry #2\", \"actual\": [32, 85, 0], \"expected\": [32, 85, 0], \"passed\": true}, {\"check\": \"partial repair boundary #1\", \"actual\": [49, 2672, 0], \"expected\": [50, 0, 0], \"passed\": false}, {\"check\": \"partial repair boundary #2\", \"actual\": [49, 2631, 0], \"expected\": [50, 0, 0], \"passed\": false}, {\"check\": \"exact threshold #1\", \"actual\": [11, 0, 0], \"expected\": [11, 0, 0], \"passed\": true}, {\"check\": \"gain at cap keeps rested #1\", \"actual\": [50, 0, 40], \"expected\": [50, 0, 40], \"passed\": true}, {\"check\": \"control #1\", \"actual\": [48, 703, 0], \"expected\": [48, 703, 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.131,"exit_code":1,"observations":[{"actual":[2,200,0],"check":"multi-level gain #1","expected":[3,80,0],"passed":false},{"actual":[7,1809,0],"check":"fault site multi-level carry #1","expected":[13,189,0],"passed":false},{"actual":[30,1465,0],"check":"fault site multi-level carry #2","expected":[32,85,0],"passed":false},{"actual":[50,0,0],"check":"partial repair boundary #1","expected":[50,0,0],"passed":true},{"actual":[50,0,0],"check":"partial repair boundary #2","expected":[50,0,0],"passed":true},{"actual":[11,0,0],"check":"exact threshold #1","expected":[11,0,0],"passed":true},{"actual":[50,0,40],"check":"gain at cap keeps rested #1","expected":[50,0,40],"passed":true},{"actual":[48,703,0],"check":"control #1","expected":[48,703,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"multi-level gain #1\", \"actual\": [2, 200, 0], \"expected\": [3, 80, 0], \"passed\": false}, {\"check\": \"fault site multi-level carry #1\", \"actual\": [7, 1809, 0], \"expected\": [13, 189, 0], \"passed\": false}, {\"check\": \"fault site multi-level carry #2\", \"actual\": [30, 1465, 0], \"expected\": [32, 85, 0], \"passed\": false}, {\"check\": \"partial repair boundary #1\", \"actual\": [50, 0, 0], \"expected\": [50, 0, 0], \"passed\": true}, {\"check\": \"partial repair boundary #2\", \"actual\": [50, 0, 0], \"expected\": [50, 0, 0], \"passed\": true}, {\"check\": \"exact threshold #1\", \"actual\": [11, 0, 0], \"expected\": [11, 0, 0], \"passed\": true}, {\"check\": \"gain at cap keeps rested #1\", \"actual\": [50, 0, 40], \"expected\": [50, 0, 40], \"passed\": true}, {\"check\": \"control #1\", \"actual\": [48, 703, 0], \"expected\": [48, 703, 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."}}