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FA-85856 / Game economy crafting balance / Open access

Batch crafting: Exact stack multiples emit an empty stack · case 01

An empty zero-count stack occupies an inventory slot after an exact multiple.

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

ROOT CAUSE

The trailing partial stack is appended unconditionally, including when the remainder is zero.

VERIFIED REPAIR

Restore `if made % cap: stacks.append(made % cap)` at the partial stack emission step.

Unsuccessful approach: Requiring a remainder above one silently deletes a single leftover item.

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 if skill >= 50 else 0
    made = crafts * recipe['yield'] + bonus
    cap = recipe['stack']
    stacks = [cap] * (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 = [[('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}}),
  ('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}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 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}}),
  ('control #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('fault site partial stack emission #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}}),
  ('partial repair boundary #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}}),
  ('partial repair boundary #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}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'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 partial stack emission #2',
   [{'inputs': {'hide': 3, 'ore': 2, 'gem': 3}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 21, 'gem': 0, 'herb': 6},
    7,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0, 'herb': 6, 'hide': 0, 'ore': 21}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'hide': 17, 'gem': 28, 'herb': 9},
    1,
    96],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 24, 'herb': 9, 'hide': 15}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 1, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'wood': 10, 'ore': 6},
    12,
    120],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'ore': 2, 'wood': 9}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 4}, {'gem': 26, 'herb': 7}, 4, 49],
   {'crafts': 4, 'made': 12, 'stacks': [4, 4, 4], 'left': {'gem': 22, 'herb': 7}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'ore': 3, 'wood': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 3},
    {'ore': 25, 'wood': 22, 'gem': 19},
    2,
    99],
   {'crafts': 2, 'made': 6, 'stacks': [3, 3], 'left': {'gem': 11, 'ore': 19, 'wood': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 22, 'ore': 14},
    6,
    0],
   {'crafts': 5, 'made': 10, 'stacks': [3, 3, 3, 1], 'left': {'gem': 2, 'ore': 4}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 1, 'hide': 4, 'wood': 4}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'ore': 11, 'hide': 13, 'wood': 6, 'herb': 9},
    2,
    100],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 9, 'hide': 9, 'ore': 10, 'wood': 2}}),
  ('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': {'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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'gem': 11, 'herb': 6},
    11,
    99],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 11, 'herb': 6, 'hide': 0}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 1, 'stack': 7}, {'gem': 0}, 6, 0],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 3}, 'output': 'blade', 'yield': 1, 'stack': 10}, {'gem': 3}, 2, 119],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 0}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 3, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 7},
    {'wood': 27, 'ore': 16, 'herb': 7},
    12,
    49],
   {'crafts': 8, 'made': 8, 'stacks': [7, 1], 'left': {'herb': 7, 'ore': 0, 'wood': 3}}),
  ('control #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}}),
  ('control #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}})]]
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
one short of a batch #1{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4, 0]}{'crafts': 4, 'left': {'herb': 2, 'ore': 2, 'wood': 1}, 'made': 8, 'stacks': [4, 4]}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
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': [0]}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Failed
fault site partial stack emission #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': [0]}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Failed
partial repair boundary #1{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': [1]}{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': [1]}Passed
partial repair boundary #2{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3, 1]}{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3, 1]}Passed
control #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
control #2{'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 / b8c926d8b43d2c4a3897c31463f725383486be49a3b57d3e4b9c5eb1c933c943

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 // 5 if skill >= 50 else 0
    made = crafts * recipe['yield'] + bonus
    cap = recipe['stack']
    stacks = [cap] * (made // cap)
    if made % cap > 1:
        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 = [[('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}}),
  ('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}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 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}}),
  ('control #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('fault site partial stack emission #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}}),
  ('partial repair boundary #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}}),
  ('partial repair boundary #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}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'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 partial stack emission #2',
   [{'inputs': {'hide': 3, 'ore': 2, 'gem': 3}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 21, 'gem': 0, 'herb': 6},
    7,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0, 'herb': 6, 'hide': 0, 'ore': 21}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'hide': 17, 'gem': 28, 'herb': 9},
    1,
    96],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 24, 'herb': 9, 'hide': 15}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 1, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'wood': 10, 'ore': 6},
    12,
    120],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'ore': 2, 'wood': 9}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 4}, {'gem': 26, 'herb': 7}, 4, 49],
   {'crafts': 4, 'made': 12, 'stacks': [4, 4, 4], 'left': {'gem': 22, 'herb': 7}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'ore': 3, 'wood': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 3},
    {'ore': 25, 'wood': 22, 'gem': 19},
    2,
    99],
   {'crafts': 2, 'made': 6, 'stacks': [3, 3], 'left': {'gem': 11, 'ore': 19, 'wood': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 22, 'ore': 14},
    6,
    0],
   {'crafts': 5, 'made': 10, 'stacks': [3, 3, 3, 1], 'left': {'gem': 2, 'ore': 4}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 1, 'hide': 4, 'wood': 4}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'ore': 11, 'hide': 13, 'wood': 6, 'herb': 9},
    2,
    100],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 9, 'hide': 9, 'ore': 10, 'wood': 2}}),
  ('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': {'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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'gem': 11, 'herb': 6},
    11,
    99],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 11, 'herb': 6, 'hide': 0}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 1, 'stack': 7}, {'gem': 0}, 6, 0],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 3}, 'output': 'blade', 'yield': 1, 'stack': 10}, {'gem': 3}, 2, 119],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 0}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 3, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 7},
    {'wood': 27, 'ore': 16, 'herb': 7},
    12,
    49],
   {'crafts': 8, 'made': 8, 'stacks': [7, 1], 'left': {'herb': 7, 'ore': 0, 'wood': 3}}),
  ('control #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}}),
  ('control #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}})]]
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
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
exact material multiple #1{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5]}{'crafts': 5, 'left': {'ore': 0}, 'made': 6, 'stacks': [5, 1]}Failed
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
fault site partial stack emission #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Passed
partial repair boundary #1{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': []}{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': [1]}Failed
partial repair boundary #2{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3]}{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3, 1]}Failed
control #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
control #2{'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 / 12fe35f0d27247efeacbecfa076ec62688ce5758f820dc5edcbeb86d018bd900

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 = [[('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}}),
  ('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}}),
  ('zero request #1',
   [{'inputs': {'hide': 2}, 'output': 'belt', 'yield': 1, 'stack': 3}, {'hide': 8}, 0, 80],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'hide': 8}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 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}}),
  ('control #1',
   [{'inputs': {'ore': 4}, 'output': 'blade', 'yield': 3, 'stack': 10}, {'ore': 6}, 2, 51],
   {'crafts': 1, 'made': 3, 'stacks': [3], 'left': {'ore': 2}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 3, 'stack': 9}, {'gem': 19}, 0, 120],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 19}}),
  ('fault site partial stack emission #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}}),
  ('partial repair boundary #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}}),
  ('partial repair boundary #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}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'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 partial stack emission #2',
   [{'inputs': {'hide': 3, 'ore': 2, 'gem': 3}, 'output': 'blade', 'yield': 2, 'stack': 7},
    {'ore': 21, 'gem': 0, 'herb': 6},
    7,
    49],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0, 'herb': 6, 'hide': 0, 'ore': 21}}),
  ('partial repair boundary #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 1, 'stack': 6},
    {'hide': 17, 'gem': 28, 'herb': 9},
    1,
    96],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 24, 'herb': 9, 'hide': 15}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 1, 'ore': 4}, 'output': 'blade', 'yield': 1, 'stack': 4},
    {'wood': 10, 'ore': 6},
    12,
    120],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'ore': 2, 'wood': 9}}),
  ('control #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}}),
  ('control #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}})],
 [('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'gem': 1}, 'output': 'blade', 'yield': 3, 'stack': 4}, {'gem': 26, 'herb': 7}, 4, 49],
   {'crafts': 4, 'made': 12, 'stacks': [4, 4, 4], 'left': {'gem': 22, 'herb': 7}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'ore': 3, 'wood': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 3},
    {'ore': 25, 'wood': 22, 'gem': 19},
    2,
    99],
   {'crafts': 2, 'made': 6, 'stacks': [3, 3], 'left': {'gem': 11, 'ore': 19, 'wood': 18}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 4, 'ore': 2}, 'output': 'blade', 'yield': 2, 'stack': 3},
    {'gem': 22, 'ore': 14},
    6,
    0],
   {'crafts': 5, 'made': 10, 'stacks': [3, 3, 3, 1], 'left': {'gem': 2, 'ore': 4}}),
  ('partial repair boundary #2',
   [{'inputs': {'ore': 1, 'hide': 4, 'wood': 4}, 'output': 'blade', 'yield': 1, 'stack': 3},
    {'ore': 11, 'hide': 13, 'wood': 6, 'herb': 9},
    2,
    100],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'herb': 9, 'hide': 9, 'ore': 10, 'wood': 2}}),
  ('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': {'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}})],
 [('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}}),
  ('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}}),
  ('fault site partial stack emission #1',
   [{'inputs': {'hide': 2, 'gem': 4}, 'output': 'blade', 'yield': 3, 'stack': 10},
    {'gem': 11, 'herb': 6},
    11,
    99],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 11, 'herb': 6, 'hide': 0}}),
  ('fault site partial stack emission #2',
   [{'inputs': {'gem': 2}, 'output': 'blade', 'yield': 1, 'stack': 7}, {'gem': 0}, 6, 0],
   {'crafts': 0, 'made': 0, 'stacks': [], 'left': {'gem': 0}}),
  ('partial repair boundary #1',
   [{'inputs': {'gem': 3}, 'output': 'blade', 'yield': 1, 'stack': 10}, {'gem': 3}, 2, 119],
   {'crafts': 1, 'made': 1, 'stacks': [1], 'left': {'gem': 0}}),
  ('partial repair boundary #2',
   [{'inputs': {'wood': 3, 'ore': 2}, 'output': 'blade', 'yield': 1, 'stack': 7},
    {'wood': 27, 'ore': 16, 'herb': 7},
    12,
    49],
   {'crafts': 8, 'made': 8, 'stacks': [7, 1], 'left': {'herb': 7, 'ore': 0, 'wood': 3}}),
  ('control #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}}),
  ('control #2',
   [{'inputs': {'hide': 4}, 'output': 'blade', 'yield': 3, 'stack': 7}, {'hide': 15}, 7, 120],
   {'crafts': 3, 'made': 9, 'stacks': [7, 2], 'left': {'hide': 3}})]]
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
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
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
zero request #1{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'hide': 8}, 'made': 0, 'stacks': []}Passed
fault site partial stack emission #1{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}{'crafts': 0, 'left': {'gem': 19}, 'made': 0, 'stacks': []}Passed
partial repair boundary #1{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': [1]}{'crafts': 1, 'left': {'gem': 1, 'herb': 8, 'hide': 2}, 'made': 1, 'stacks': [1]}Passed
partial repair boundary #2{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3, 1]}{'crafts': 2, 'left': {'gem': 4, 'herb': 8, 'hide': 2, 'ore': 0}, 'made': 4, 'stacks': [3, 1]}Passed
control #1{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}{'crafts': 1, 'left': {'ore': 2}, 'made': 3, 'stacks': [3]}Passed
control #2{'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 / 3ecbc9442d44b45688cddc2f4b9a771598871be223d2f700a63afdd59c75cfbc

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 2026-09-29T14:50:44.229172+00:00.

Case digest / 10167d08b33aaca901de9c87597bc99025cf8ee2a2943067150c6050c3615715