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FA-86306 / Game economy crafting balance / Open access

Crafting station queue: Finished jobs listed in queue order · case 01

Completion notifications arrive out of finish order.

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

ROOT CAUSE

The finished list is not sorted by finish time.

VERIFIED REPAIR

Restore `sorted(done)` at the result ordering step.

Unsuccessful approach: Tie-breaking by name instead of queue position misorders simultaneous finishes.

Case contract

jobs = [[name, duration], ...] in queue order. Effective duration = max(1, floor(duration*(100-speed)/100)). Each job starts on the station that frees earliest (lowest index on ties) at that station free time. Return names of jobs finished by now (finish <= now) ordered by finish time then queue position.

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

N = 1
observations = []
def solve(jobs, stations, speed, now):
    free = [0] * stations
    done = []
    for idx, (name, dur) in enumerate(jobs):
        d = max(1, dur * (100 - speed) // 100)
        s = min(range(stations), key=lambda k: (free[k], k))
        start = free[s]
        free[s] = start + d
        done.append((free[s], idx, name))
    return [name for fin, idx, name in done if fin <= now]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site result ordering #1',
   [[['anvil', 10], ['bow', 60], ['cape', 10]], 2, 50, 260],
   ['anvil', 'cape', 'bow']),
  ('fault site result ordering #2',
   [[['flask', 5], ['bow', 10], ['anvil', 1], ['dagger', 2], ['cape', 78]], 2, 50, 208],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('partial repair boundary #1', [[['ember', 1], ['cape', 1], ['bow', 60]], 3, 50, 1], ['ember', 'cape']),
  ('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger'])],
 [('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('fault site result ordering #1',
   [[['ember', 60], ['anvil', 1], ['dagger', 1], ['cape', 1], ['bow', 1], ['flask', 2]], 2, 90, 60],
   ['anvil', 'dagger', 'cape', 'bow', 'flask', 'ember']),
  ('partial repair boundary #1',
   [[['ember', 2], ['anvil', 5], ['cape', 2]], 3, 90, 293],
   ['ember', 'anvil', 'cape']),
  ('partial repair boundary #2',
   [[['flask', 2], ['anvil', 10], ['bow', 60], ['ember', 2]], 2, 99, 30],
   ['flask', 'anvil', 'bow', 'ember']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger']),
  ('control #2',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask'])],
 [('fault site result ordering #1',
   [[['flask', 1], ['cape', 105], ['ember', 2]], 2, 50, 60],
   ['flask', 'ember', 'cape']),
  ('fault site result ordering #2',
   [[['ember', 11], ['bow', 60], ['dagger', 5]], 3, 10, 30],
   ['dagger', 'ember']),
  ('partial repair boundary #1',
   [[['cape', 1], ['bow', 1], ['dagger', 60], ['anvil', 10], ['flask', 5]], 3, 0, 5],
   ['cape', 'bow']),
  ('partial repair boundary #2',
   [[['anvil', 9], ['flask', 10], ['dagger', 2], ['ember', 5]], 3, 99, 60],
   ['anvil', 'flask', 'dagger', 'ember']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask']),
  ('control #2',
   [[['anvil', 2], ['flask', 2], ['cape', 1], ['dagger', 103], ['ember', 5]], 2, 10, 60],
   ['anvil', 'flask', 'cape', 'ember'])],
 [('fault site result ordering #1',
   [[['anvil', 10], ['dagger', 19], ['flask', 2], ['cape', 60], ['ember', 90], ['bow', 5]], 3, 25, 60],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('regression result ordering #1',
   [[['anvil', 98], ['dagger', 5], ['cape', 1], ['bow', 10], ['flask', 10], ['ember', 5]], 3, 90, 60],
   ['dagger', 'cape', 'bow', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #1',
   [[['bow', 5], ['dagger', 1], ['cape', 5], ['flask', 2], ['ember', 10], ['anvil', 2]], 3, 99, 5],
   ['bow', 'dagger', 'cape', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #2',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('control #1',
   [[['dagger', 10], ['bow', 119], ['cape', 1], ['flask', 2], ['ember', 60], ['anvil', 5]], 1, 0, 60],
   ['dagger']),
  ('control #2', [[['dagger', 1], ['bow', 5]], 1, 99, 161], ['dagger', 'bow'])],
 [('regression result ordering #1',
   [[['dagger', 10], ['ember', 10], ['flask', 5], ['cape', 5]], 3, 0, 52],
   ['flask', 'dagger', 'ember', 'cape']),
  ('fault site result ordering #1',
   [[['flask', 1], ['cape', 58], ['bow', 2], ['dagger', 10]], 2, 10, 133],
   ['flask', 'bow', 'dagger', 'cape']),
  ('partial repair boundary #1',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('partial repair boundary #2', [[['flask', 2], ['cape', 10], ['bow', 81]], 2, 99, 1], ['flask', 'cape']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['dagger', 60], ['flask', 1], ['anvil', 60], ['cape', 1], ['ember', 5], ['bow', 33]], 1, 99, 154],
   ['dagger', 'flask', 'anvil', 'cape', 'ember', 'bow']),
  ('control #2', [[['anvil', 2]], 3, 90, 1], ['anvil'])]]
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
fault site result ordering #1['anvil', 'bow', 'cape']['anvil', 'cape', 'bow']Failed
fault site result ordering #2['flask', 'bow', 'anvil', 'dagger', 'cape']['flask', 'anvil', 'dagger', 'bow', 'cape']Failed
partial repair boundary #1['ember', 'cape']['ember', 'cape']Passed
regression result ordering #1['bow', 'anvil', 'ember', 'dagger']['ember', 'dagger', 'bow', 'anvil']Failed
two stations tie #1['a', 'b', 'c']['a', 'b', 'c']Passed
speed floor #1['x', 'y']['x', 'y']Passed
finish exactly now #1['a']['a']Passed
control #1['flask', 'cape', 'dagger']['flask', 'cape', 'dagger']Passed

SHA-256 / 385a6bec5ca464c55342686542a9c633ea5d4e9693b0c34ce09af2aced1a1019

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(jobs, stations, speed, now):
    free = [0] * stations
    done = []
    for idx, (name, dur) in enumerate(jobs):
        d = max(1, dur * (100 - speed) // 100)
        s = min(range(stations), key=lambda k: (free[k], k))
        start = free[s]
        free[s] = start + d
        done.append((free[s], idx, name))
    return [name for fin, idx, name in sorted(done, key=lambda e: (e[0], e[2])) if fin <= now]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site result ordering #1',
   [[['anvil', 10], ['bow', 60], ['cape', 10]], 2, 50, 260],
   ['anvil', 'cape', 'bow']),
  ('fault site result ordering #2',
   [[['flask', 5], ['bow', 10], ['anvil', 1], ['dagger', 2], ['cape', 78]], 2, 50, 208],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('partial repair boundary #1', [[['ember', 1], ['cape', 1], ['bow', 60]], 3, 50, 1], ['ember', 'cape']),
  ('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger'])],
 [('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('fault site result ordering #1',
   [[['ember', 60], ['anvil', 1], ['dagger', 1], ['cape', 1], ['bow', 1], ['flask', 2]], 2, 90, 60],
   ['anvil', 'dagger', 'cape', 'bow', 'flask', 'ember']),
  ('partial repair boundary #1',
   [[['ember', 2], ['anvil', 5], ['cape', 2]], 3, 90, 293],
   ['ember', 'anvil', 'cape']),
  ('partial repair boundary #2',
   [[['flask', 2], ['anvil', 10], ['bow', 60], ['ember', 2]], 2, 99, 30],
   ['flask', 'anvil', 'bow', 'ember']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger']),
  ('control #2',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask'])],
 [('fault site result ordering #1',
   [[['flask', 1], ['cape', 105], ['ember', 2]], 2, 50, 60],
   ['flask', 'ember', 'cape']),
  ('fault site result ordering #2',
   [[['ember', 11], ['bow', 60], ['dagger', 5]], 3, 10, 30],
   ['dagger', 'ember']),
  ('partial repair boundary #1',
   [[['cape', 1], ['bow', 1], ['dagger', 60], ['anvil', 10], ['flask', 5]], 3, 0, 5],
   ['cape', 'bow']),
  ('partial repair boundary #2',
   [[['anvil', 9], ['flask', 10], ['dagger', 2], ['ember', 5]], 3, 99, 60],
   ['anvil', 'flask', 'dagger', 'ember']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask']),
  ('control #2',
   [[['anvil', 2], ['flask', 2], ['cape', 1], ['dagger', 103], ['ember', 5]], 2, 10, 60],
   ['anvil', 'flask', 'cape', 'ember'])],
 [('fault site result ordering #1',
   [[['anvil', 10], ['dagger', 19], ['flask', 2], ['cape', 60], ['ember', 90], ['bow', 5]], 3, 25, 60],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('regression result ordering #1',
   [[['anvil', 98], ['dagger', 5], ['cape', 1], ['bow', 10], ['flask', 10], ['ember', 5]], 3, 90, 60],
   ['dagger', 'cape', 'bow', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #1',
   [[['bow', 5], ['dagger', 1], ['cape', 5], ['flask', 2], ['ember', 10], ['anvil', 2]], 3, 99, 5],
   ['bow', 'dagger', 'cape', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #2',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('control #1',
   [[['dagger', 10], ['bow', 119], ['cape', 1], ['flask', 2], ['ember', 60], ['anvil', 5]], 1, 0, 60],
   ['dagger']),
  ('control #2', [[['dagger', 1], ['bow', 5]], 1, 99, 161], ['dagger', 'bow'])],
 [('regression result ordering #1',
   [[['dagger', 10], ['ember', 10], ['flask', 5], ['cape', 5]], 3, 0, 52],
   ['flask', 'dagger', 'ember', 'cape']),
  ('fault site result ordering #1',
   [[['flask', 1], ['cape', 58], ['bow', 2], ['dagger', 10]], 2, 10, 133],
   ['flask', 'bow', 'dagger', 'cape']),
  ('partial repair boundary #1',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('partial repair boundary #2', [[['flask', 2], ['cape', 10], ['bow', 81]], 2, 99, 1], ['flask', 'cape']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['dagger', 60], ['flask', 1], ['anvil', 60], ['cape', 1], ['ember', 5], ['bow', 33]], 1, 99, 154],
   ['dagger', 'flask', 'anvil', 'cape', 'ember', 'bow']),
  ('control #2', [[['anvil', 2]], 3, 90, 1], ['anvil'])]]
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
fault site result ordering #1['anvil', 'cape', 'bow']['anvil', 'cape', 'bow']Passed
fault site result ordering #2['flask', 'anvil', 'dagger', 'bow', 'cape']['flask', 'anvil', 'dagger', 'bow', 'cape']Passed
partial repair boundary #1['cape', 'ember']['ember', 'cape']Failed
regression result ordering #1['ember', 'dagger', 'anvil', 'bow']['ember', 'dagger', 'bow', 'anvil']Failed
two stations tie #1['a', 'b', 'c']['a', 'b', 'c']Passed
speed floor #1['x', 'y']['x', 'y']Passed
finish exactly now #1['a']['a']Passed
control #1['flask', 'cape', 'dagger']['flask', 'cape', 'dagger']Passed

SHA-256 / 6c3a9b9d9e7a14fc615e67e88d2b92da9e9014a4a39ebeebf46593bcd7d5eb71

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(jobs, stations, speed, now):
    free = [0] * stations
    done = []
    for idx, (name, dur) in enumerate(jobs):
        d = max(1, dur * (100 - speed) // 100)
        s = min(range(stations), key=lambda k: (free[k], k))
        start = free[s]
        free[s] = start + d
        done.append((free[s], idx, name))
    return [name for fin, idx, name in sorted(done) if fin <= now]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site result ordering #1',
   [[['anvil', 10], ['bow', 60], ['cape', 10]], 2, 50, 260],
   ['anvil', 'cape', 'bow']),
  ('fault site result ordering #2',
   [[['flask', 5], ['bow', 10], ['anvil', 1], ['dagger', 2], ['cape', 78]], 2, 50, 208],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('partial repair boundary #1', [[['ember', 1], ['cape', 1], ['bow', 60]], 3, 50, 1], ['ember', 'cape']),
  ('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger'])],
 [('regression result ordering #1',
   [[['bow', 60], ['anvil', 60], ['ember', 5], ['dagger', 5]], 3, 0, 133],
   ['ember', 'dagger', 'bow', 'anvil']),
  ('fault site result ordering #1',
   [[['ember', 60], ['anvil', 1], ['dagger', 1], ['cape', 1], ['bow', 1], ['flask', 2]], 2, 90, 60],
   ['anvil', 'dagger', 'cape', 'bow', 'flask', 'ember']),
  ('partial repair boundary #1',
   [[['ember', 2], ['anvil', 5], ['cape', 2]], 3, 90, 293],
   ['ember', 'anvil', 'cape']),
  ('partial repair boundary #2',
   [[['flask', 2], ['anvil', 10], ['bow', 60], ['ember', 2]], 2, 99, 30],
   ['flask', 'anvil', 'bow', 'ember']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['flask', 2], ['bow', 10], ['cape', 1], ['dagger', 2], ['anvil', 10], ['ember', 10]], 2, 10, 5],
   ['flask', 'cape', 'dagger']),
  ('control #2',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask'])],
 [('fault site result ordering #1',
   [[['flask', 1], ['cape', 105], ['ember', 2]], 2, 50, 60],
   ['flask', 'ember', 'cape']),
  ('fault site result ordering #2',
   [[['ember', 11], ['bow', 60], ['dagger', 5]], 3, 10, 30],
   ['dagger', 'ember']),
  ('partial repair boundary #1',
   [[['cape', 1], ['bow', 1], ['dagger', 60], ['anvil', 10], ['flask', 5]], 3, 0, 5],
   ['cape', 'bow']),
  ('partial repair boundary #2',
   [[['anvil', 9], ['flask', 10], ['dagger', 2], ['ember', 5]], 3, 99, 60],
   ['anvil', 'flask', 'dagger', 'ember']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('control #1',
   [[['flask', 1], ['cape', 60], ['ember', 1], ['bow', 1], ['anvil', 2], ['dagger', 33]], 2, 25, 1],
   ['flask']),
  ('control #2',
   [[['anvil', 2], ['flask', 2], ['cape', 1], ['dagger', 103], ['ember', 5]], 2, 10, 60],
   ['anvil', 'flask', 'cape', 'ember'])],
 [('fault site result ordering #1',
   [[['anvil', 10], ['dagger', 19], ['flask', 2], ['cape', 60], ['ember', 90], ['bow', 5]], 3, 25, 60],
   ['flask', 'anvil', 'dagger', 'bow', 'cape']),
  ('regression result ordering #1',
   [[['anvil', 98], ['dagger', 5], ['cape', 1], ['bow', 10], ['flask', 10], ['ember', 5]], 3, 90, 60],
   ['dagger', 'cape', 'bow', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #1',
   [[['bow', 5], ['dagger', 1], ['cape', 5], ['flask', 2], ['ember', 10], ['anvil', 2]], 3, 99, 5],
   ['bow', 'dagger', 'cape', 'flask', 'ember', 'anvil']),
  ('partial repair boundary #2',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('speed floor #1', [[['x', 1], ['y', 1]], 1, 90, 2], ['x', 'y']),
  ('control #1',
   [[['dagger', 10], ['bow', 119], ['cape', 1], ['flask', 2], ['ember', 60], ['anvil', 5]], 1, 0, 60],
   ['dagger']),
  ('control #2', [[['dagger', 1], ['bow', 5]], 1, 99, 161], ['dagger', 'bow'])],
 [('regression result ordering #1',
   [[['dagger', 10], ['ember', 10], ['flask', 5], ['cape', 5]], 3, 0, 52],
   ['flask', 'dagger', 'ember', 'cape']),
  ('fault site result ordering #1',
   [[['flask', 1], ['cape', 58], ['bow', 2], ['dagger', 10]], 2, 10, 133],
   ['flask', 'bow', 'dagger', 'cape']),
  ('partial repair boundary #1',
   [[['flask', 5], ['cape', 5], ['bow', 5]], 3, 10, 30],
   ['flask', 'cape', 'bow']),
  ('partial repair boundary #2', [[['flask', 2], ['cape', 10], ['bow', 81]], 2, 99, 1], ['flask', 'cape']),
  ('finish exactly now #1', [[['a', 30]], 1, 0, 30], ['a']),
  ('two stations tie #1', [[['a', 10], ['b', 10], ['c', 5]], 2, 0, 15], ['a', 'b', 'c']),
  ('control #1',
   [[['dagger', 60], ['flask', 1], ['anvil', 60], ['cape', 1], ['ember', 5], ['bow', 33]], 1, 99, 154],
   ['dagger', 'flask', 'anvil', 'cape', 'ember', 'bow']),
  ('control #2', [[['anvil', 2]], 3, 90, 1], ['anvil'])]]
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
fault site result ordering #1['anvil', 'cape', 'bow']['anvil', 'cape', 'bow']Passed
fault site result ordering #2['flask', 'anvil', 'dagger', 'bow', 'cape']['flask', 'anvil', 'dagger', 'bow', 'cape']Passed
partial repair boundary #1['ember', 'cape']['ember', 'cape']Passed
regression result ordering #1['ember', 'dagger', 'bow', 'anvil']['ember', 'dagger', 'bow', 'anvil']Passed
two stations tie #1['a', 'b', 'c']['a', 'b', 'c']Passed
speed floor #1['x', 'y']['x', 'y']Passed
finish exactly now #1['a']['a']Passed
control #1['flask', 'cape', 'dagger']['flask', 'cape', 'dagger']Passed

SHA-256 / 83434b153f74392ca0674084ef3f84d302a0a6b5f6ada186070945e4ae6cabdb

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 2026-09-29T14:50:48.273603+00:00.

Case digest / 1bfaf0120465ae4fbd4808fcd59597a4da61d22708bb59fedb49d0c8224e7da7