FAILURE MAP
← Case archive

FA-86021 / Game economy crafting balance / Open access

Repair bill: Silver column includes gold · case 01

Bills above one gold show silver counts over 99.

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

ROOT CAUSE

The silver digit is not reduced modulo 100.

VERIFIED REPAIR

Restore `cost // 100 % 100` at the silver denomination step.

Unsuccessful approach: Rounding the silver quotient bumps silver up when copper is 50 or more.

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 = 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, 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 silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60]),
  ('partial repair boundary #2',
   [[{'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]),
  ('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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #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]),
  ('partial repair boundary #2',
   [[{'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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 4, 'dur': 0, 'max': 60}], [25]], [0, 0, 90]),
  ('partial repair boundary #2',
   [[{'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': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('control #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 7, 'dur': 0, 'max': 40}], []], [0, 0, 80]),
  ('partial repair boundary #2', [[{'ilvl': 3, 'dur': 0, 'max': 120}], [15, 15, 15]], [0, 0, 74]),
  ('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': 0, 'max': 100}, {'ilvl': 3, 'dur': 78, 'max': 120}], []], [0, 2, 42]),
  ('control #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])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 14, 'dur': 0, 'max': 40}, {'ilvl': 4, 'dur': 43, 'max': 40}], [25, 10, 15]],
   [0, 0, 92]),
  ('partial repair boundary #2',
   [[{'ilvl': 1, 'dur': 100, 'max': 100},
     {'ilvl': 3, 'dur': 123, 'max': 120},
     {'ilvl': 1, 'dur': 1, 'max': 60}],
    []],
   [0, 0, 59]),
  ('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', [[], [25, 33]], [0, 0, 0]),
  ('control #2', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0])]]
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 silver denomination #1[1, 105, 64][1, 5, 64]Failed
partial repair boundary #1[0, 2, 60][0, 2, 60]Passed
partial repair boundary #2[0, 0, 92][0, 0, 92]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
control #2[0, 0, 0][0, 0, 0]Passed

SHA-256 / 967960037ec21c6c20068fb00a4aaf7f4ace806fddd27cc8283607cbf121484f

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 = 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, round(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 silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60]),
  ('partial repair boundary #2',
   [[{'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]),
  ('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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #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]),
  ('partial repair boundary #2',
   [[{'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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 4, 'dur': 0, 'max': 60}], [25]], [0, 0, 90]),
  ('partial repair boundary #2',
   [[{'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': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('control #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 7, 'dur': 0, 'max': 40}], []], [0, 0, 80]),
  ('partial repair boundary #2', [[{'ilvl': 3, 'dur': 0, 'max': 120}], [15, 15, 15]], [0, 0, 74]),
  ('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': 0, 'max': 100}, {'ilvl': 3, 'dur': 78, 'max': 120}], []], [0, 2, 42]),
  ('control #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])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 14, 'dur': 0, 'max': 40}, {'ilvl': 4, 'dur': 43, 'max': 40}], [25, 10, 15]],
   [0, 0, 92]),
  ('partial repair boundary #2',
   [[{'ilvl': 1, 'dur': 100, 'max': 100},
     {'ilvl': 3, 'dur': 123, 'max': 120},
     {'ilvl': 1, 'dur': 1, 'max': 60}],
    []],
   [0, 0, 59]),
  ('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', [[], [25, 33]], [0, 0, 0]),
  ('control #2', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0])]]
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, 1, 60][0, 0, 60]Failed
regression silver denomination #1[1, 6, 64][1, 5, 64]Failed
partial repair boundary #1[0, 3, 60][0, 2, 60]Failed
partial repair boundary #2[0, 1, 92][0, 0, 92]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
control #2[0, 0, 0][0, 0, 0]Passed

SHA-256 / 0176cd8d20bdbf8b1be9315aa9f287840ea74d78279429e728ecae77fb19acde

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 silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 8, 'dur': 18, 'max': 120}, {'ilvl': 3, 'dur': 41, 'max': 60}], [20]],
   [0, 2, 60]),
  ('partial repair boundary #2',
   [[{'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]),
  ('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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #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]),
  ('partial repair boundary #2',
   [[{'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]),
  ('control #2',
   [[{'ilvl': 4, 'dur': 63, 'max': 60},
     {'ilvl': 130, 'dur': 63, 'max': 60},
     {'ilvl': 3, 'dur': 60, 'max': 60}],
    [25, 25]],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 4, 'dur': 0, 'max': 60}], [25]], [0, 0, 90]),
  ('partial repair boundary #2',
   [[{'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': 111, 'dur': 123, 'max': 120}], []], [0, 0, 0]),
  ('control #2',
   [[{'ilvl': 113, 'dur': 123, 'max': 120}, {'ilvl': 8, 'dur': 103, 'max': 100}], []],
   [0, 0, 0])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1', [[{'ilvl': 7, 'dur': 0, 'max': 40}], []], [0, 0, 80]),
  ('partial repair boundary #2', [[{'ilvl': 3, 'dur': 0, 'max': 120}], [15, 15, 15]], [0, 0, 74]),
  ('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': 0, 'max': 100}, {'ilvl': 3, 'dur': 78, 'max': 120}], []], [0, 2, 42]),
  ('control #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])],
 [('over-repaired piece #1',
   [[{'ilvl': 20, 'dur': 105, 'max': 100}, {'ilvl': 20, 'dur': 90, 'max': 100}], []],
   [0, 0, 60]),
  ('regression silver denomination #1',
   [[{'ilvl': 367, 'dur': 0, 'max': 120},
     {'ilvl': 1, 'dur': 41, 'max': 120},
     {'ilvl': 7, 'dur': 103, 'max': 100},
     {'ilvl': 7, 'dur': 100, 'max': 100}],
    [5]],
   [1, 5, 64]),
  ('partial repair boundary #1',
   [[{'ilvl': 14, 'dur': 0, 'max': 40}, {'ilvl': 4, 'dur': 43, 'max': 40}], [25, 10, 15]],
   [0, 0, 92]),
  ('partial repair boundary #2',
   [[{'ilvl': 1, 'dur': 100, 'max': 100},
     {'ilvl': 3, 'dur': 123, 'max': 120},
     {'ilvl': 1, 'dur': 1, 'max': 60}],
    []],
   [0, 0, 59]),
  ('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', [[], [25, 33]], [0, 0, 0]),
  ('control #2', [[{'ilvl': 1, 'dur': 63, 'max': 60}], []], [0, 0, 0])]]
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 silver denomination #1[1, 5, 64][1, 5, 64]Passed
partial repair boundary #1[0, 2, 60][0, 2, 60]Passed
partial repair boundary #2[0, 0, 92][0, 0, 92]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
control #2[0, 0, 0][0, 0, 0]Passed

SHA-256 / 578350acbc39891882d87cb9127003f4fb9ff60784e62eb82ffe1b6b049d1269

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 2026-09-29T14:50:45.682017+00:00.

Case digest / 742e939aaeab62ff42b8741fee7c1a3789445b4318f95fc7c2fc0d8fad532449