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FA-85851 / Game economy crafting balance / Open access

Batch crafting: Bonus cadence scales with recipe yield · case 01

Multi-yield recipes receive several bonus items per fifth craft.

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

ROOT CAUSE

The bonus count is multiplied by the recipe yield although the bonus is one item per fifth craft.

VERIFIED REPAIR

Restore `crafts // 5` at the bonus cadence step.

Unsuccessful approach: Rounding the cadence up grants a bonus on the very first craft of a batch.

Case contract

recipe = {inputs:{material:qty}, output, yield, stack}. Crafts = min(requested, floor(have/qty) per input), 0 when requested <= 0. With skill in [50, inf) every 5th craft adds one bonus item (bonus = crafts//5). made = crafts*yield + bonus, split into full stacks of size stack plus one partial stack. left = whole inventory (all materials) after consuming crafts*qty of each input, sorted by name.

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(recipe, inventory, requested, skill):
    if requested <= 0:
        crafts = 0
    else:
        crafts = requested
        for mat, qty in recipe['inputs'].items():
            crafts = min(crafts, inventory.get(mat, 0) // qty)
    bonus = crafts // 5 * recipe['yield'] if skill >= 50 else 0
    made = crafts * recipe['yield'] + bonus
    cap = recipe['stack']
    stacks = [cap] * (made // cap)
    if made % cap:
        stacks.append(made % cap)
    left = dict(inventory)
    for mat, qty in recipe['inputs'].items():
        left[mat] = left.get(mat, 0) - crafts * qty
    return {'crafts': crafts, 'made': made, 'stacks': stacks, 'left': dict(sorted(left.items()))}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site bonus cadence #1',
   [{'inputs': {'hide': 1, 'gem': 2, 'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'hide': 28, 'gem': 10, 'wood': 23, 'herb': 6},
    8,
    120],
   {'crafts': 5, 'made': 16, 'stacks': [10, 6], 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}}),
  ('regression bonus cadence #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 6}, {'gem': 27, 'herb': 8}, 7, 101],
   {'crafts': 7, 'made': 22, 'stacks': [6, 6, 6, 4], 'left': {'gem': 20, 'herb': 8}}),
  ('partial repair boundary #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 3, 'ore': 1}, 'output': 'blade', 'yield': 1, 'stack': 5},
    {'hide': 21, 'ore': 5},
    3,
    99],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'hide': 12, 'ore': 2}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('regression bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 3, 'stack': 8}, {'ore': 23, 'herb': 5}, 12, 99],
   {'crafts': 11, 'made': 35, 'stacks': [8, 8, 8, 8, 3], 'left': {'herb': 5, 'ore': 1}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 2, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'gem': 19, 'hide': 18, 'herb': 2},
    8,
    51],
   {'crafts': 6, 'made': 13, 'stacks': [10, 3], 'left': {'gem': 7, 'herb': 2, 'hide': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'wood': 2, 'hide': 3, 'gem': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 12, 'hide': 23, 'gem': 11},
    4,
    51],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'gem': 2, 'hide': 14, 'wood': 6}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 2, 'wood': 4, 'hide': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'ore': 20, 'wood': 13, 'hide': 16, 'herb': 2},
    9,
    120],
   {'crafts': 3, 'made': 9, 'stacks': [6, 3], 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('control #2',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}})],
 [('regression bonus cadence #1',
   [{'inputs': {'hide': 2, 'wood': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'hide': 18, 'wood': 27, 'herb': 4},
    9,
    51],
   {'crafts': 9, 'made': 28, 'stacks': [6, 6, 6, 6, 4], 'left': {'herb': 4, 'hide': 0, 'wood': 9}}),
  ('fault site bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 8}, {'ore': 28}, 5, 100],
   {'crafts': 5, 'made': 11, 'stacks': [8, 3], 'left': {'ore': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'gem': 15, 'ore': 20, 'herb': 6},
    12,
    120],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'gem': 3, 'herb': 6, 'ore': 14}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 4, 'gem': 4, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 13, 'gem': 22, 'hide': 22, 'herb': 6},
    2,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [4], 'left': {'gem': 14, 'herb': 6, 'hide': 14, 'ore': 5}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}}),
  ('control #2',
   [{'inputs': {'hide': 1, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'wood': 23, 'herb': 9},
    4,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'herb': 9, 'hide': 0, 'wood': 23}})],
 [('regression bonus cadence #1',
   [{'inputs': {'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'wood': 7}, 12, 120],
   {'crafts': 7, 'made': 22, 'stacks': [7, 7, 7, 1], 'left': {'wood': 0}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 4, 'hide': 1, 'ore': 1}, 'output': 'blade', 'yield': 2, 'stack': 9},
    {'gem': 29, 'hide': 25, 'ore': 26},
    8,
    120],
   {'crafts': 7, 'made': 15, 'stacks': [9, 6], 'left': {'gem': 1, 'hide': 18, 'ore': 19}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 1, 'hide': 3}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'gem': 2, 'hide': 5, 'herb': 8},
    12,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 1, 'herb': 8, 'hide': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 1, 'gem': 3, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'hide': 4, 'gem': 10, 'ore': 4, 'herb': 8},
    8,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [3, 1], 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('control #1',
   [{'inputs': {'wood': 1, 'ore': 3, 'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 9},
    {'wood': 2, 'ore': 29, 'gem': 5, 'herb': 7},
    11,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'gem': 3, 'herb': 7, 'ore': 23, 'wood': 0}}),
  ('control #2',
   [{'inputs': {'gem': 3, 'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'gem': 16, 'hide': 29},
    0,
    100],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 16, 'hide': 29}})],
 [('fault site bonus cadence #1',
   [{'inputs': {'hide': 2}, 'output': 'blade', 'yield': 2, 'stack': 4}, {'hide': 30, 'herb': 9}, 10, 63],
   {'crafts': 10, 'made': 22, 'stacks': [4, 4, 4, 4, 4, 2], 'left': {'herb': 9, 'hide': 10}}),
  ('regression bonus cadence #1',
   [{'inputs': {'hide': 3, 'wood': 2}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'hide': 29, 'wood': 21, 'herb': 6},
    7,
    101],
   {'crafts': 7, 'made': 15, 'stacks': [10, 5], 'left': {'herb': 6, 'hide': 8, 'wood': 7}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 4, 'gem': 3, 'ore': 3}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'hide': 19, 'gem': 21, 'ore': 16},
    2,
    50],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 15, 'hide': 11, 'ore': 10}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'wood': 4, 'ore': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 13, 'ore': 6, 'herb': 6},
    5,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'herb': 6, 'ore': 0, 'wood': 5}}),
  ('control #2',
   [{'inputs': {'wood': 1, 'ore': 2, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 6},
    {'wood': 3, 'ore': 26, 'hide': 6},
    5,
    17],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'hide': 2, 'ore': 24, 'wood': 2}})]]
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 bonus cadence #1{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 18, 'stacks': [10, 8]}{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 16, 'stacks': [10, 6]}Failed
regression bonus cadence #1{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 24, 'stacks': [6, 6, 6, 6]}{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 22, 'stacks': [6, 6, 6, 4]}Failed
partial repair boundary #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
partial repair boundary #2{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Passed
exact material multiple #1{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}Passed
one short of a batch #1{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}Passed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Passed

SHA-256 / 3066025e55bf2d46c65adb06546a71ca74fdf6e969282e46cf2667aa1b07981e

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(recipe, inventory, requested, skill):
    if requested <= 0:
        crafts = 0
    else:
        crafts = requested
        for mat, qty in recipe['inputs'].items():
            crafts = min(crafts, inventory.get(mat, 0) // qty)
    bonus = (crafts + 4) // 5 if skill >= 50 else 0
    made = crafts * recipe['yield'] + bonus
    cap = recipe['stack']
    stacks = [cap] * (made // cap)
    if made % cap:
        stacks.append(made % cap)
    left = dict(inventory)
    for mat, qty in recipe['inputs'].items():
        left[mat] = left.get(mat, 0) - crafts * qty
    return {'crafts': crafts, 'made': made, 'stacks': stacks, 'left': dict(sorted(left.items()))}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site bonus cadence #1',
   [{'inputs': {'hide': 1, 'gem': 2, 'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'hide': 28, 'gem': 10, 'wood': 23, 'herb': 6},
    8,
    120],
   {'crafts': 5, 'made': 16, 'stacks': [10, 6], 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}}),
  ('regression bonus cadence #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 6}, {'gem': 27, 'herb': 8}, 7, 101],
   {'crafts': 7, 'made': 22, 'stacks': [6, 6, 6, 4], 'left': {'gem': 20, 'herb': 8}}),
  ('partial repair boundary #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 3, 'ore': 1}, 'output': 'blade', 'yield': 1, 'stack': 5},
    {'hide': 21, 'ore': 5},
    3,
    99],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'hide': 12, 'ore': 2}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('regression bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 3, 'stack': 8}, {'ore': 23, 'herb': 5}, 12, 99],
   {'crafts': 11, 'made': 35, 'stacks': [8, 8, 8, 8, 3], 'left': {'herb': 5, 'ore': 1}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 2, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'gem': 19, 'hide': 18, 'herb': 2},
    8,
    51],
   {'crafts': 6, 'made': 13, 'stacks': [10, 3], 'left': {'gem': 7, 'herb': 2, 'hide': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'wood': 2, 'hide': 3, 'gem': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 12, 'hide': 23, 'gem': 11},
    4,
    51],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'gem': 2, 'hide': 14, 'wood': 6}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 2, 'wood': 4, 'hide': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'ore': 20, 'wood': 13, 'hide': 16, 'herb': 2},
    9,
    120],
   {'crafts': 3, 'made': 9, 'stacks': [6, 3], 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('control #2',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}})],
 [('regression bonus cadence #1',
   [{'inputs': {'hide': 2, 'wood': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'hide': 18, 'wood': 27, 'herb': 4},
    9,
    51],
   {'crafts': 9, 'made': 28, 'stacks': [6, 6, 6, 6, 4], 'left': {'herb': 4, 'hide': 0, 'wood': 9}}),
  ('fault site bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 8}, {'ore': 28}, 5, 100],
   {'crafts': 5, 'made': 11, 'stacks': [8, 3], 'left': {'ore': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'gem': 15, 'ore': 20, 'herb': 6},
    12,
    120],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'gem': 3, 'herb': 6, 'ore': 14}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 4, 'gem': 4, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 13, 'gem': 22, 'hide': 22, 'herb': 6},
    2,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [4], 'left': {'gem': 14, 'herb': 6, 'hide': 14, 'ore': 5}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}}),
  ('control #2',
   [{'inputs': {'hide': 1, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'wood': 23, 'herb': 9},
    4,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'herb': 9, 'hide': 0, 'wood': 23}})],
 [('regression bonus cadence #1',
   [{'inputs': {'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'wood': 7}, 12, 120],
   {'crafts': 7, 'made': 22, 'stacks': [7, 7, 7, 1], 'left': {'wood': 0}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 4, 'hide': 1, 'ore': 1}, 'output': 'blade', 'yield': 2, 'stack': 9},
    {'gem': 29, 'hide': 25, 'ore': 26},
    8,
    120],
   {'crafts': 7, 'made': 15, 'stacks': [9, 6], 'left': {'gem': 1, 'hide': 18, 'ore': 19}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 1, 'hide': 3}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'gem': 2, 'hide': 5, 'herb': 8},
    12,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 1, 'herb': 8, 'hide': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 1, 'gem': 3, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'hide': 4, 'gem': 10, 'ore': 4, 'herb': 8},
    8,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [3, 1], 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('control #1',
   [{'inputs': {'wood': 1, 'ore': 3, 'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 9},
    {'wood': 2, 'ore': 29, 'gem': 5, 'herb': 7},
    11,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'gem': 3, 'herb': 7, 'ore': 23, 'wood': 0}}),
  ('control #2',
   [{'inputs': {'gem': 3, 'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'gem': 16, 'hide': 29},
    0,
    100],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 16, 'hide': 29}})],
 [('fault site bonus cadence #1',
   [{'inputs': {'hide': 2}, 'output': 'blade', 'yield': 2, 'stack': 4}, {'hide': 30, 'herb': 9}, 10, 63],
   {'crafts': 10, 'made': 22, 'stacks': [4, 4, 4, 4, 4, 2], 'left': {'herb': 9, 'hide': 10}}),
  ('regression bonus cadence #1',
   [{'inputs': {'hide': 3, 'wood': 2}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'hide': 29, 'wood': 21, 'herb': 6},
    7,
    101],
   {'crafts': 7, 'made': 15, 'stacks': [10, 5], 'left': {'herb': 6, 'hide': 8, 'wood': 7}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 4, 'gem': 3, 'ore': 3}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'hide': 19, 'gem': 21, 'ore': 16},
    2,
    50],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 15, 'hide': 11, 'ore': 10}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'wood': 4, 'ore': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 13, 'ore': 6, 'herb': 6},
    5,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'herb': 6, 'ore': 0, 'wood': 5}}),
  ('control #2',
   [{'inputs': {'wood': 1, 'ore': 2, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 6},
    {'wood': 3, 'ore': 26, 'hide': 6},
    5,
    17],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'hide': 2, 'ore': 24, 'wood': 2}})]]
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 bonus cadence #1{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 16, 'stacks': [10, 6]}{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 16, 'stacks': [10, 6]}Passed
regression bonus cadence #1{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 23, 'stacks': [6, 6, 6, 5]}{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 22, 'stacks': [6, 6, 6, 4]}Failed
partial repair boundary #1{'crafts': 1, 'left': {'ore': 2}, 'made': 4, 'stacks': [4]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Failed
partial repair boundary #2{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 4, 'stacks': [4]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Failed
exact material multiple #1{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}Passed
one short of a batch #1{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}Passed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Passed

SHA-256 / b0f89fe680f9c3e573817e65b4b5f8acc73d31d5202642d2b63554729176dc51

3 / The verified repair

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

N = 1
observations = []
def solve(recipe, inventory, requested, skill):
    if requested <= 0:
        crafts = 0
    else:
        crafts = requested
        for mat, qty in recipe['inputs'].items():
            crafts = min(crafts, inventory.get(mat, 0) // qty)
    bonus = crafts // 5 if skill >= 50 else 0
    made = crafts * recipe['yield'] + bonus
    cap = recipe['stack']
    stacks = [cap] * (made // cap)
    if made % cap:
        stacks.append(made % cap)
    left = dict(inventory)
    for mat, qty in recipe['inputs'].items():
        left[mat] = left.get(mat, 0) - crafts * qty
    return {'crafts': crafts, 'made': made, 'stacks': stacks, 'left': dict(sorted(left.items()))}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('fault site bonus cadence #1',
   [{'inputs': {'hide': 1, 'gem': 2, 'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'hide': 28, 'gem': 10, 'wood': 23, 'herb': 6},
    8,
    120],
   {'crafts': 5, 'made': 16, 'stacks': [10, 6], 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}}),
  ('regression bonus cadence #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 6}, {'gem': 27, 'herb': 8}, 7, 101],
   {'crafts': 7, 'made': 22, 'stacks': [6, 6, 6, 4], 'left': {'gem': 20, 'herb': 8}}),
  ('partial repair boundary #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 3, 'ore': 1}, 'output': 'blade', 'yield': 1, 'stack': 5},
    {'hide': 21, 'ore': 5},
    3,
    99],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'hide': 12, 'ore': 2}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('regression bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 3, 'stack': 8}, {'ore': 23, 'herb': 5}, 12, 99],
   {'crafts': 11, 'made': 35, 'stacks': [8, 8, 8, 8, 3], 'left': {'herb': 5, 'ore': 1}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 2, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'gem': 19, 'hide': 18, 'herb': 2},
    8,
    51],
   {'crafts': 6, 'made': 13, 'stacks': [10, 3], 'left': {'gem': 7, 'herb': 2, 'hide': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'wood': 2, 'hide': 3, 'gem': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 12, 'hide': 23, 'gem': 11},
    4,
    51],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'gem': 2, 'hide': 14, 'wood': 6}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 2, 'wood': 4, 'hide': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'ore': 20, 'wood': 13, 'hide': 16, 'herb': 2},
    9,
    120],
   {'crafts': 3, 'made': 9, 'stacks': [6, 3], 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('control #2',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}})],
 [('regression bonus cadence #1',
   [{'inputs': {'hide': 2, 'wood': 2}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'hide': 18, 'wood': 27, 'herb': 4},
    9,
    51],
   {'crafts': 9, 'made': 28, 'stacks': [6, 6, 6, 6, 4], 'left': {'herb': 4, 'hide': 0, 'wood': 9}}),
  ('fault site bonus cadence #1',
   [{'inputs': {'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 8}, {'ore': 28}, 5, 100],
   {'crafts': 5, 'made': 11, 'stacks': [8, 3], 'left': {'ore': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'gem': 15, 'ore': 20, 'herb': 6},
    12,
    120],
   {'crafts': 3, 'made': 3, 'stacks': [3], 'left': {'gem': 3, 'herb': 6, 'ore': 14}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 4, 'gem': 4, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 13, 'gem': 22, 'hide': 22, 'herb': 6},
    2,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [4], 'left': {'gem': 14, 'herb': 6, 'hide': 14, 'ore': 5}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('control #1',
   [{'inputs': {'gem': 1, 'hide': 3, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'gem': 15, 'hide': 15, 'ore': 26},
    2,
    49],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 13, 'hide': 9, 'ore': 18}}),
  ('control #2',
   [{'inputs': {'hide': 1, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'wood': 23, 'herb': 9},
    4,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'herb': 9, 'hide': 0, 'wood': 23}})],
 [('regression bonus cadence #1',
   [{'inputs': {'wood': 1}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'wood': 7}, 12, 120],
   {'crafts': 7, 'made': 22, 'stacks': [7, 7, 7, 1], 'left': {'wood': 0}}),
  ('regression bonus cadence #2',
   [{'inputs': {'gem': 4, 'hide': 1, 'ore': 1}, 'output': 'blade', 'yield': 2, 'stack': 9},
    {'gem': 29, 'hide': 25, 'ore': 26},
    8,
    120],
   {'crafts': 7, 'made': 15, 'stacks': [9, 6], 'left': {'gem': 1, 'hide': 18, 'ore': 19}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 1, 'hide': 3}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'gem': 2, 'hide': 5, 'herb': 8},
    12,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 1, 'herb': 8, 'hide': 2}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 1, 'gem': 3, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'hide': 4, 'gem': 10, 'ore': 4, 'herb': 8},
    8,
    120],
   {'crafts': 2, 'made': 4, 'stacks': [3, 1], 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('one short of a batch #1',
   [{'inputs': {'ore': 3, 'wood': 2}, 'output': 'axe', 'yield': 2, 'stack': 4},
    {'ore': 14, 'wood': 9, 'herb': 2},
    9,
    10],
   {'crafts': 4, 'made': 8, 'stacks': [4, 4], 'left': {'herb': 2, 'ore': 2, 'wood': 1}}),
  ('control #1',
   [{'inputs': {'wood': 1, 'ore': 3, 'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 9},
    {'wood': 2, 'ore': 29, 'gem': 5, 'herb': 7},
    11,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'gem': 3, 'herb': 7, 'ore': 23, 'wood': 0}}),
  ('control #2',
   [{'inputs': {'gem': 3, 'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 6},
    {'gem': 16, 'hide': 29},
    0,
    100],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 16, 'hide': 29}})],
 [('fault site bonus cadence #1',
   [{'inputs': {'hide': 2}, 'output': 'blade', 'yield': 2, 'stack': 4}, {'hide': 30, 'herb': 9}, 10, 63],
   {'crafts': 10, 'made': 22, 'stacks': [4, 4, 4, 4, 4, 2], 'left': {'herb': 9, 'hide': 10}}),
  ('regression bonus cadence #1',
   [{'inputs': {'hide': 3, 'wood': 2}, 'output': 'blade', 'yield': 2, 'stack': 10},
    {'hide': 29, 'wood': 21, 'herb': 6},
    7,
    101],
   {'crafts': 7, 'made': 15, 'stacks': [10, 5], 'left': {'herb': 6, 'hide': 8, 'wood': 7}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('partial repair boundary #2',
   [{'inputs': {'hide': 4, 'gem': 3, 'ore': 3}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'hide': 19, 'gem': 21, 'ore': 16},
    2,
    50],
   {'crafts': 2, 'made': 2, 'stacks': [2], 'left': {'gem': 15, 'hide': 11, 'ore': 10}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('exact material multiple #1',
   [{'inputs': {'ore': 3}, 'output': 'bar', 'yield': 1, 'stack': 5}, {'ore': 15}, 10, 50],
   {'crafts': 5, 'made': 6, 'stacks': [5, 1], 'left': {'ore': 0}}),
  ('control #1',
   [{'inputs': {'wood': 4, 'ore': 3}, 'output': 'blade', 'yield': 3, 'stack': 7},
    {'wood': 13, 'ore': 6, 'herb': 6},
    5,
    0],
   {'crafts': 2, 'made': 6, 'stacks': [6], 'left': {'herb': 6, 'ore': 0, 'wood': 5}}),
  ('control #2',
   [{'inputs': {'wood': 1, 'ore': 2, 'hide': 4}, 'output': 'blade', 'yield': 2, 'stack': 6},
    {'wood': 3, 'ore': 26, 'hide': 6},
    5,
    17],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'hide': 2, 'ore': 24, 'wood': 2}})]]
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 bonus cadence #1{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 16, 'stacks': [10, 6]}{'crafts': 5, 'left': {'gem': 0, 'herb': 6, 'hide': 23, 'wood': 18}, 'made': 16, 'stacks': [10, 6]}Passed
regression bonus cadence #1{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 22, 'stacks': [6, 6, 6, 4]}{'crafts': 7, 'left': {'gem': 20, 'herb': 8}, 'made': 22, 'stacks': [6, 6, 6, 4]}Passed
partial repair boundary #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
partial repair boundary #2{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Passed
exact material multiple #1{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}Passed
one short of a batch #1{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}Passed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Passed

SHA-256 / 5ebf759c576121341495a75b08085ff6532e9a4635809bdf7944b82c3634580b

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 2026-09-29T14:50:44.222165+00:00.

Case digest / e3bf8515c31dbb96d31a9f3b0633cd292c5b21d451b5fe7f4975ed5903944292