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FA-85841 / Game economy crafting balance / Open access

Batch crafting: Available crafts count raw material units · case 01

More crafts are performed than the stockpile can pay for and inventories go negative.

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

ROOT CAUSE

The per-input craft limit uses the raw material count instead of dividing by the recipe quantity.

VERIFIED REPAIR

Restore `inventory.get(mat, 0) // qty` at the material availability step.

Unsuccessful approach: Rounding the division up still lets a partial material bundle pay for a whole craft.

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))
    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 = [[('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}}),
  ('control #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('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}}),
  ('regression material availability #1',
   [{'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}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('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': {'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}}),
  ('regression material availability #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}}),
  ('fault site material availability #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 material availability #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #3',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('fault site material availability #1',
   [{'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}}),
  ('regression material availability #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #2',
   [{'inputs': {'ore': 2, 'hide': 4, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'ore': 3, 'hide': 11, 'wood': 24, 'herb': 7},
    9,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 7, 'hide': 7, 'ore': 1, 'wood': 23}}),
  ('regression material availability #3',
   [{'inputs': {'gem': 4, 'wood': 3, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 11, 'wood': 22, 'hide': 5, 'herb': 1},
    11,
    50],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'gem': 7, 'herb': 1, 'hide': 2, 'wood': 19}}),
  ('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}})]]
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
exact material multiple #1{'crafts': 10, 'left': {'ore': -15}, 'made': 12, 'stacks': [5, 5, 2]}{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}Failed
one short of a batch #1{'crafts': 9, 'left': {'herb': 2, 'ore': -13, 'wood': -9}, 'made': 18, 'stacks': [4, 4, 4, 4, 2]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}Failed
regression material availability #1{'crafts': 2, 'left': {'ore': -2}, 'made': 6, 'stacks': [6]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Failed
regression material availability #2{'crafts': 4, 'left': {'gem': -1, 'hide': 11, 'wood': 4}, 'made': 12, 'stacks': [7, 5]}{'crafts': 3, 'left': {'gem': 2, 'hide': 14, 'wood': 6}, 'made': 9, 'stacks': [7, 2]}Failed
regression material availability #3{'crafts': 9, 'left': {'herb': 2, 'hide': -2, 'ore': 2, 'wood': -23}, 'made': 28, 'stacks': [6, 6, 6, 6, 4]}{'crafts': 3, 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}, 'made': 9, 'stacks': [6, 3]}Failed
regression material availability #4{'crafts': 12, 'left': {'gem': -33, 'herb': 6, 'ore': -4}, 'made': 14, 'stacks': [9, 5]}{'crafts': 3, 'left': {'gem': 3, 'herb': 6, 'ore': 14}, 'made': 3, 'stacks': [3]}Failed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Passed

SHA-256 / b6beba1e1849b8a0cc4885467c50a8ea370c2a9a969f2807e9ee87d5179caed4

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 - 1) // 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 = [[('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}}),
  ('control #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('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}}),
  ('regression material availability #1',
   [{'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}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('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': {'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}}),
  ('regression material availability #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}}),
  ('fault site material availability #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 material availability #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #3',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('fault site material availability #1',
   [{'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}}),
  ('regression material availability #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #2',
   [{'inputs': {'ore': 2, 'hide': 4, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'ore': 3, 'hide': 11, 'wood': 24, 'herb': 7},
    9,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 7, 'hide': 7, 'ore': 1, 'wood': 23}}),
  ('regression material availability #3',
   [{'inputs': {'gem': 4, 'wood': 3, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 11, 'wood': 22, 'hide': 5, 'herb': 1},
    11,
    50],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'gem': 7, 'herb': 1, 'hide': 2, 'wood': 19}}),
  ('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}})]]
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
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': 5, 'left': {'herb': 2, 'ore': -1, 'wood': -1}, 'made': 10, 'stacks': [4, 4, 2]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}Failed
regression material availability #1{'crafts': 2, 'left': {'ore': -2}, 'made': 6, 'stacks': [6]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Failed
regression material availability #2{'crafts': 4, 'left': {'gem': -1, 'hide': 11, 'wood': 4}, 'made': 12, 'stacks': [7, 5]}{'crafts': 3, 'left': {'gem': 2, 'hide': 14, 'wood': 6}, 'made': 9, 'stacks': [7, 2]}Failed
regression material availability #3{'crafts': 4, 'left': {'herb': 2, 'hide': 8, 'ore': 12, 'wood': -3}, 'made': 12, 'stacks': [6, 6]}{'crafts': 3, 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}, 'made': 9, 'stacks': [6, 3]}Failed
regression material availability #4{'crafts': 4, 'left': {'gem': -1, 'herb': 6, 'ore': 12}, 'made': 4, 'stacks': [4]}{'crafts': 3, 'left': {'gem': 3, 'herb': 6, 'ore': 14}, 'made': 3, 'stacks': [3]}Failed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Passed

SHA-256 / 94bb55522d596a3a29f39ce054e81f3b798ce2b612c4debce3c2890da131640e

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 = [[('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('regression material availability #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'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}}),
  ('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': {'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}}),
  ('control #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}})],
 [('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}}),
  ('regression material availability #1',
   [{'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}}),
  ('regression material availability #2',
   [{'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}}),
  ('regression material availability #3',
   [{'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}}),
  ('regression material availability #4',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('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': {'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}}),
  ('regression material availability #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}}),
  ('fault site material availability #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 material availability #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #3',
   [{'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}}),
  ('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': {'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}})],
 [('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}}),
  ('fault site material availability #1',
   [{'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}}),
  ('regression material availability #1',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}}),
  ('regression material availability #2',
   [{'inputs': {'ore': 2, 'hide': 4, 'wood': 1}, 'output': 'blade', 'yield': 1, 'stack': 9},
    {'ore': 3, 'hide': 11, 'wood': 24, 'herb': 7},
    9,
    99],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 7, 'hide': 7, 'ore': 1, 'wood': 23}}),
  ('regression material availability #3',
   [{'inputs': {'gem': 4, 'wood': 3, 'hide': 3}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 11, 'wood': 22, 'hide': 5, 'herb': 1},
    11,
    50],
   {'crafts': 1, 'made': 2, 'stacks': [2], 'left': {'gem': 7, 'herb': 1, 'hide': 2, 'wood': 19}}),
  ('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}})]]
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
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
regression material availability #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
regression material availability #2{'crafts': 3, 'left': {'gem': 2, 'hide': 14, 'wood': 6}, 'made': 9, 'stacks': [7, 2]}{'crafts': 3, 'left': {'gem': 2, 'hide': 14, 'wood': 6}, 'made': 9, 'stacks': [7, 2]}Passed
regression material availability #3{'crafts': 3, 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}, 'made': 9, 'stacks': [6, 3]}{'crafts': 3, 'left': {'herb': 2, 'hide': 10, 'ore': 14, 'wood': 1}, 'made': 9, 'stacks': [6, 3]}Passed
regression material availability #4{'crafts': 3, 'left': {'gem': 3, 'herb': 6, 'ore': 14}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'gem': 3, 'herb': 6, 'ore': 14}, 'made': 3, 'stacks': [3]}Passed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
control #1{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 3, 'left': {'hide': 12, 'ore': 2}, 'made': 3, 'stacks': [3]}Passed

SHA-256 / ef687b1480411488ddc1c1e48676698603ee1b7870fd598297af53e99455d10a

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 2026-09-29T14:50:44.178397+00:00.

Case digest / ff9d815ed28ed50e8314c8b40390d48978af45a00691960e2919aeeb6bb19edc