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FA-86001 / Game economy crafting balance / Open access

Repair bill: Over-repaired items credit the bill · case 01

Items above maximum durability reduce the cost of other repairs.

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

ROOT CAUSE

Missing durability is not clamped at zero.

VERIFIED REPAIR

Restore `max(0, it['max'] - it['dur'])` at the missing durability clamp step.

Unsuccessful approach: Taking the absolute value charges for durability that is not missing.

Case contract

Per item cost = max(0, max-dur) * (ilvl//4 + 1) copper. Discount percentages stack multiplicatively on the exact total; the result is rounded up once to copper. Return [gold, silver, copper] with 100 copper per silver and 100 silver per gold.

Why this case matters

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.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(items, discounts):
    total = 0
    for it in items:
        missing = it['max'] - it['dur']
        total += missing * (it['ilvl'] // 4 + 1)
    price = Fraction(total)
    for pct in discounts:
        price = price * (100 - pct) / 100
    cost = math.ceil(price)
    return [cost // 10000, cost // 100 % 100, cost % 100]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('regression missing durability clamp #3', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #4', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 8, 'dur': 63, 'max': 60}, {'ilvl': 3, 'dur': 43, 'max': 40}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 346, 'dur': 120, 'max': 120},
     {'ilvl': 3, 'dur': 100, 'max': 100},
     {'ilvl': 1, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 43, 'max': 40}],
    []],
   [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 1, 'dur': 120, 'max': 120},
     {'ilvl': 4, 'dur': 84, 'max': 100},
     {'ilvl': 3, 'dur': 40, 'max': 40},
     {'ilvl': 3, 'dur': 0, 'max': 120}],
    [10, 33]],
   [0, 0, 92])]]
for label, args, expected in cases[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
over-repaired piece #1[0, 0, 30][0, 0, 60]Failed
regression missing durability clamp #1[-1, 99, 41][0, 0, 0]Failed
regression missing durability clamp #2[-1, 99, 16][0, 0, 0]Failed
regression missing durability clamp #3[-1, 99, 4][0, 0, 0]Failed
regression missing durability clamp #4[0, 5, 7][0, 5, 96]Failed
two stacked discounts #1[0, 22, 47][0, 22, 47]Passed
nothing to repair #1[0, 0, 0][0, 0, 0]Passed
control #1[0, 0, 0][0, 0, 0]Passed

SHA-256 / c2ca76cc3f72627d70033bdf0db33c73c30f276e8089c65fe62986776f8b51d3

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(items, discounts):
    total = 0
    for it in items:
        missing = abs(it['max'] - it['dur'])
        total += missing * (it['ilvl'] // 4 + 1)
    price = Fraction(total)
    for pct in discounts:
        price = price * (100 - pct) / 100
    cost = math.ceil(price)
    return [cost // 10000, cost // 100 % 100, cost % 100]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('regression missing durability clamp #3', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #4', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 8, 'dur': 63, 'max': 60}, {'ilvl': 3, 'dur': 43, 'max': 40}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 346, 'dur': 120, 'max': 120},
     {'ilvl': 3, 'dur': 100, 'max': 100},
     {'ilvl': 1, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 43, 'max': 40}],
    []],
   [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 1, 'dur': 120, 'max': 120},
     {'ilvl': 4, 'dur': 84, 'max': 100},
     {'ilvl': 3, 'dur': 40, 'max': 40},
     {'ilvl': 3, 'dur': 0, 'max': 120}],
    [10, 33]],
   [0, 0, 92])]]
for label, args, expected in cases[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
over-repaired piece #1[0, 0, 90][0, 0, 60]Failed
regression missing durability clamp #1[0, 0, 60][0, 0, 0]Failed
regression missing durability clamp #2[0, 0, 84][0, 0, 0]Failed
regression missing durability clamp #3[0, 0, 96][0, 0, 0]Failed
regression missing durability clamp #4[0, 6, 86][0, 5, 96]Failed
two stacked discounts #1[0, 22, 47][0, 22, 47]Passed
nothing to repair #1[0, 0, 0][0, 0, 0]Passed
control #1[0, 0, 0][0, 0, 0]Passed

SHA-256 / fbdab3d96118de4e32f00411796cdf5f9af45e9591b1577ca562120d0dc39d23

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(items, discounts):
    total = 0
    for it in items:
        missing = max(0, it['max'] - it['dur'])
        total += missing * (it['ilvl'] // 4 + 1)
    price = Fraction(total)
    for pct in discounts:
        price = price * (100 - pct) / 100
    cost = math.ceil(price)
    return [cost // 10000, cost // 100 % 100, cost % 100]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 69, 'dur': 5, 'max': 40},
     {'ilvl': 3, 'dur': 49, 'max': 120},
     {'ilvl': 139, 'dur': 63, 'max': 60}],
    [15]],
   [0, 5, 96]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 1, 'dur': 123, 'max': 120},
     {'ilvl': 7, 'dur': 61, 'max': 120},
     {'ilvl': 3, 'dur': 120, 'max': 120},
     {'ilvl': 374, 'dur': 38, 'max': 100}],
    []],
   [0, 59, 46]),
  ('regression missing durability clamp #3', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1', [[{'ilvl': 7, 'dur': 40, 'max': 40}], [20]], [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0]),
  ('regression missing durability clamp #2',
   [[{'ilvl': 8, 'dur': 103, 'max': 100}, {'ilvl': 204, 'dur': 26, 'max': 60}], []],
   [0, 17, 68]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #4', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression missing durability clamp #1',
   [[{'ilvl': 1, 'dur': 123, 'max': 120}, {'ilvl': 1, 'dur': 123, 'max': 120}], [15]],
   [0, 0, 0]),
  ('regression missing durability clamp #2', [[{'ilvl': 1, 'dur': 123, 'max': 120}], [25, 20]], [0, 0, 0]),
  ('regression missing durability clamp #3',
   [[{'ilvl': 8, 'dur': 63, 'max': 60}, {'ilvl': 3, 'dur': 43, 'max': 40}], []],
   [0, 0, 0]),
  ('regression missing durability clamp #4',
   [[{'ilvl': 346, 'dur': 120, 'max': 120},
     {'ilvl': 3, 'dur': 100, 'max': 100},
     {'ilvl': 1, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 43, 'max': 40}],
    []],
   [0, 0, 0]),
  ('two stacked discounts #1', [[{'ilvl': 100, 'dur': 0, 'max': 120}], [10, 20]], [0, 22, 47]),
  ('nothing to repair #1', [[], [15]], [0, 0, 0]),
  ('control #1',
   [[{'ilvl': 1, 'dur': 120, 'max': 120},
     {'ilvl': 4, 'dur': 84, 'max': 100},
     {'ilvl': 3, 'dur': 40, 'max': 40},
     {'ilvl': 3, 'dur': 0, 'max': 120}],
    [10, 33]],
   [0, 0, 92])]]
for label, args, expected in cases[N-1]:
    check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
over-repaired piece #1[0, 0, 60][0, 0, 60]Passed
regression missing durability clamp #1[0, 0, 0][0, 0, 0]Passed
regression missing durability clamp #2[0, 0, 0][0, 0, 0]Passed
regression missing durability clamp #3[0, 0, 0][0, 0, 0]Passed
regression missing durability clamp #4[0, 5, 96][0, 5, 96]Passed
two stacked discounts #1[0, 22, 47][0, 22, 47]Passed
nothing to repair #1[0, 0, 0][0, 0, 0]Passed
control #1[0, 0, 0][0, 0, 0]Passed

SHA-256 / 6a5fb0411184a17750250ef191cb9d1537e23974af6ff698a5683975e17cad0f

Verification & scope

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.

Observations recorded using Python 3.12.14 at 2026-09-29T14:50:45.546746+00:00.

Case digest / a34158cde6111b0e1fc6106318c8a9f035b360ff555727a386c02fd5c9dd7e06