FA-86556 / Procedural level generation constraints / Open access
Encounter difficulty budget: Enemies unlock one floor late · case 01
New enemy types never appear on their unlock floor.
ROOT CAUSE
The unlock comparison excludes the unlock depth itself.
THE FAILURE
The unlock comparison excludes the unlock depth itself.
Unsuccessful approach: Allowing one floor early spawns locked enemies.
Case contract
budget = 10 + 5*depth + 10*(depth//5). roster [name, cost, min_depth] with cost >= 1. Repeatedly pick the most expensive unlocked (min_depth <= depth) affordable enemy with fewer than 3 copies already picked, ties broken by name; stop when none qualifies. Returns {picks, left}.
Why this case matters
Procedural generators silently emit unplayable or unfair levels when a single constraint check uses the wrong boundary, axis, neighborhood or update order; the defect is visible in exact generated geometry.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(depth, roster):
budget = 10 + 5 * depth + depth // 5 * 10
counts = {}
picks = []
while True:
best = None
for name, cost, need in roster:
if need >= depth or cost > budget or counts.get(name, 0) >= 3:
continue
if best is None or cost > best[1] or (cost == best[1] and name < best[0]):
best = (name, cost)
if best is None:
break
picks.append(best[0])
counts[best[0]] = counts.get(best[0], 0) + 1
budget -= best[1]
return {'picks': picks, 'left': budget}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[10, [['imp', 2, 10], ['ogre', 5, 10], ['rat', 1, 3], ['bat', 2, 0], ['orc', 5, 3], ['wyrm', 24, 10]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat'], 'left': 0}),
('partial repair boundary #1', [4, [['orc', 10, 10], ['wyrm', 2, 5]]], {'picks': [], 'left': 30}),
('partial repair boundary #2',
[9, [['bat', 26, 5], ['rat', 11, 10], ['ogre', 5, 0], ['imp', 5, 0]]],
{'picks': ['bat', 'bat', 'imp', 'imp'], 'left': 3}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1', [15, [['ogre', 5, 1]]], {'picks': ['ogre', 'ogre', 'ogre'], 'left': 100}),
('control #2',
[4, [['rat', 5, 5], ['ogre', 5, 0], ['wyrm', 5, 1], ['imp', 5, 3]]],
{'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre'], 'left': 0})],
[('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[10, [['imp', 2, 10], ['ogre', 5, 10], ['rat', 1, 3], ['bat', 2, 0], ['orc', 5, 3], ['wyrm', 24, 10]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat'], 'left': 0}),
('fault site unlock depth #2',
[1, [['imp', 10, 1], ['bat', 10, 10], ['orc', 1, 0]]],
{'picks': ['imp', 'orc', 'orc', 'orc'], 'left': 2}),
('partial repair boundary #1',
[4, [['rat', 5, 1], ['orc', 8, 0], ['imp', 5, 5]]],
{'picks': ['orc', 'orc', 'orc', 'rat'], 'left': 1}),
('partial repair boundary #2',
[0, [['imp', 10, 1], ['rat', 7, 10], ['orc', 5, 10], ['ogre', 1, 1], ['wyrm', 5, 5]]],
{'picks': [], 'left': 10}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[4, [['rat', 5, 5], ['ogre', 5, 0], ['wyrm', 5, 1], ['imp', 5, 3]]],
{'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre'], 'left': 0}),
('control #2', [5, [['orc', 10, 1], ['imp', 5, 10]]], {'picks': ['orc', 'orc', 'orc'], 'left': 15})],
[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('fault site unlock depth #1',
[1, [['orc', 5, 3], ['bat', 8, 1], ['wyrm', 8, 0]]],
{'picks': ['bat'], 'left': 7}),
('fault site unlock depth #2',
[10, [['imp', 15, 10], ['ogre', 5, 1], ['orc', 5, 5], ['rat', 5, 0], ['wyrm', 10, 1]]],
{'picks': ['imp', 'imp', 'imp', 'wyrm', 'wyrm', 'wyrm', 'ogre'], 'left': 0}),
('partial repair boundary #1', [9, [['ogre', 5, 10]]], {'picks': [], 'left': 65}),
('partial repair boundary #2',
[4, [['wyrm', 20, 5], ['orc', 5, 10], ['rat', 10, 10], ['bat', 15, 0]]],
{'picks': ['bat', 'bat'], 'left': 0}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[1, [['imp', 10, 3], ['orc', 2, 0], ['rat', 10, 10], ['wyrm', 15, 5], ['bat', 15, 3]]],
{'picks': ['orc', 'orc', 'orc'], 'left': 9}),
('control #2',
[5, [['bat', 8, 1], ['orc', 15, 10], ['wyrm', 10, 1], ['ogre', 1, 3], ['rat', 1, 3], ['imp', 2, 0]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'bat', 'imp', 'imp', 'imp', 'ogre'], 'left': 0})],
[('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[1, [['wyrm', 8, 10], ['ogre', 5, 1]]],
{'picks': ['ogre', 'ogre', 'ogre'], 'left': 0}),
('fault site unlock depth #2',
[1, [['wyrm', 8, 3], ['rat', 5, 1]]],
{'picks': ['rat', 'rat', 'rat'], 'left': 0}),
('partial repair boundary #1',
[0, [['bat', 5, 3], ['orc', 1, 1], ['rat', 10, 10]]],
{'picks': [], 'left': 10}),
('partial repair boundary #2', [9, [['wyrm', 2, 10]]], {'picks': [], 'left': 65}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[9, [['rat', 7, 0], ['ogre', 1, 0]]],
{'picks': ['rat', 'rat', 'rat', 'ogre', 'ogre', 'ogre'], 'left': 41}),
('control #2', [0, [['bat', 18, 0]]], {'picks': [], 'left': 10})],
[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('fault site unlock depth #1',
[10, [['bat', 5, 10], ['ogre', 5, 5], ['wyrm', 10, 0]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'bat', 'bat', 'bat', 'ogre', 'ogre', 'ogre'], 'left': 20}),
('fault site unlock depth #2',
[10, [['bat', 10, 1], ['ogre', 10, 10], ['orc', 5, 10]]],
{'picks': ['bat', 'bat', 'bat', 'ogre', 'ogre', 'ogre', 'orc', 'orc', 'orc'], 'left': 5}),
('regression unlock depth #1',
[0, [['ogre', 2, 0], ['wyrm', 8, 1], ['rat', 5, 0], ['bat', 1, 1], ['imp', 10, 5]]],
{'picks': ['rat', 'rat'], 'left': 0}),
('partial repair boundary #1',
[9, [['wyrm', 1, 10], ['imp', 8, 5], ['rat', 8, 10]]],
{'picks': ['imp', 'imp', 'imp'], 'left': 41}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1', [3, [['orc', 2, 0], ['wyrm', 2, 5]]], {'picks': ['orc', 'orc', 'orc'], 'left': 19}),
('control #2',
[14, [['orc', 30, 1], ['bat', 15, 5], ['ogre', 5, 0], ['rat', 5, 5]]],
{'picks': ['orc', 'orc', 'orc', 'ogre', 'ogre'], 'left': 0})]]
for label, args, expected in cases[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unlock at depth #1 | {'left': 22, 'picks': ['rat', 'rat', 'rat']} | {'left': 2, 'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat']} | Failed |
| equal cost tie #1 | {'left': 10, 'picks': []} | {'left': 0, 'picks': ['imp', 'imp']} | Failed |
| fault site unlock depth #1 | {'left': 56, 'picks': ['orc', 'orc', 'orc', 'bat', 'bat', 'bat', 'rat', 'rat', 'rat']} | {'left': 0, 'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat']} | Failed |
| partial repair boundary #1 | {'left': 30, 'picks': []} | {'left': 30, 'picks': []} | Passed |
| partial repair boundary #2 | {'left': 3, 'picks': ['bat', 'bat', 'imp', 'imp']} | {'left': 3, 'picks': ['bat', 'bat', 'imp', 'imp']} | Passed |
| milestone depth bonus #1 | {'left': 30, 'picks': ['orc', 'orc', 'orc']} | {'left': 30, 'picks': ['orc', 'orc', 'orc']} | Passed |
| control #1 | {'left': 100, 'picks': ['ogre', 'ogre', 'ogre']} | {'left': 100, 'picks': ['ogre', 'ogre', 'ogre']} | Passed |
| control #2 | {'left': 0, 'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre']} | {'left': 0, 'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre']} | Passed |
SHA-256 / 47d58e01ddeb17ba247d642d1590cac9cd5c87a58a2fcee9e5755ba056984f99
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(depth, roster):
budget = 10 + 5 * depth + depth // 5 * 10
counts = {}
picks = []
while True:
best = None
for name, cost, need in roster:
if need > depth + 1 or cost > budget or counts.get(name, 0) >= 3:
continue
if best is None or cost > best[1] or (cost == best[1] and name < best[0]):
best = (name, cost)
if best is None:
break
picks.append(best[0])
counts[best[0]] = counts.get(best[0], 0) + 1
budget -= best[1]
return {'picks': picks, 'left': budget}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[10, [['imp', 2, 10], ['ogre', 5, 10], ['rat', 1, 3], ['bat', 2, 0], ['orc', 5, 3], ['wyrm', 24, 10]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat'], 'left': 0}),
('partial repair boundary #1', [4, [['orc', 10, 10], ['wyrm', 2, 5]]], {'picks': [], 'left': 30}),
('partial repair boundary #2',
[9, [['bat', 26, 5], ['rat', 11, 10], ['ogre', 5, 0], ['imp', 5, 0]]],
{'picks': ['bat', 'bat', 'imp', 'imp'], 'left': 3}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1', [15, [['ogre', 5, 1]]], {'picks': ['ogre', 'ogre', 'ogre'], 'left': 100}),
('control #2',
[4, [['rat', 5, 5], ['ogre', 5, 0], ['wyrm', 5, 1], ['imp', 5, 3]]],
{'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre'], 'left': 0})],
[('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[10, [['imp', 2, 10], ['ogre', 5, 10], ['rat', 1, 3], ['bat', 2, 0], ['orc', 5, 3], ['wyrm', 24, 10]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat'], 'left': 0}),
('fault site unlock depth #2',
[1, [['imp', 10, 1], ['bat', 10, 10], ['orc', 1, 0]]],
{'picks': ['imp', 'orc', 'orc', 'orc'], 'left': 2}),
('partial repair boundary #1',
[4, [['rat', 5, 1], ['orc', 8, 0], ['imp', 5, 5]]],
{'picks': ['orc', 'orc', 'orc', 'rat'], 'left': 1}),
('partial repair boundary #2',
[0, [['imp', 10, 1], ['rat', 7, 10], ['orc', 5, 10], ['ogre', 1, 1], ['wyrm', 5, 5]]],
{'picks': [], 'left': 10}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[4, [['rat', 5, 5], ['ogre', 5, 0], ['wyrm', 5, 1], ['imp', 5, 3]]],
{'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre'], 'left': 0}),
('control #2', [5, [['orc', 10, 1], ['imp', 5, 10]]], {'picks': ['orc', 'orc', 'orc'], 'left': 15})],
[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('fault site unlock depth #1',
[1, [['orc', 5, 3], ['bat', 8, 1], ['wyrm', 8, 0]]],
{'picks': ['bat'], 'left': 7}),
('fault site unlock depth #2',
[10, [['imp', 15, 10], ['ogre', 5, 1], ['orc', 5, 5], ['rat', 5, 0], ['wyrm', 10, 1]]],
{'picks': ['imp', 'imp', 'imp', 'wyrm', 'wyrm', 'wyrm', 'ogre'], 'left': 0}),
('partial repair boundary #1', [9, [['ogre', 5, 10]]], {'picks': [], 'left': 65}),
('partial repair boundary #2',
[4, [['wyrm', 20, 5], ['orc', 5, 10], ['rat', 10, 10], ['bat', 15, 0]]],
{'picks': ['bat', 'bat'], 'left': 0}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[1, [['imp', 10, 3], ['orc', 2, 0], ['rat', 10, 10], ['wyrm', 15, 5], ['bat', 15, 3]]],
{'picks': ['orc', 'orc', 'orc'], 'left': 9}),
('control #2',
[5, [['bat', 8, 1], ['orc', 15, 10], ['wyrm', 10, 1], ['ogre', 1, 3], ['rat', 1, 3], ['imp', 2, 0]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'bat', 'imp', 'imp', 'imp', 'ogre'], 'left': 0})],
[('equal cost tie #1', [0, [['orc', 5, 0], ['imp', 5, 0]]], {'picks': ['imp', 'imp'], 'left': 0}),
('fault site unlock depth #1',
[1, [['wyrm', 8, 10], ['ogre', 5, 1]]],
{'picks': ['ogre', 'ogre', 'ogre'], 'left': 0}),
('fault site unlock depth #2',
[1, [['wyrm', 8, 3], ['rat', 5, 1]]],
{'picks': ['rat', 'rat', 'rat'], 'left': 0}),
('partial repair boundary #1',
[0, [['bat', 5, 3], ['orc', 1, 1], ['rat', 10, 10]]],
{'picks': [], 'left': 10}),
('partial repair boundary #2', [9, [['wyrm', 2, 10]]], {'picks': [], 'left': 65}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1',
[9, [['rat', 7, 0], ['ogre', 1, 0]]],
{'picks': ['rat', 'rat', 'rat', 'ogre', 'ogre', 'ogre'], 'left': 41}),
('control #2', [0, [['bat', 18, 0]]], {'picks': [], 'left': 10})],
[('unlock at depth #1',
[3, [['ogre', 10, 3], ['rat', 1, 0]]],
{'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat'], 'left': 2}),
('fault site unlock depth #1',
[10, [['bat', 5, 10], ['ogre', 5, 5], ['wyrm', 10, 0]]],
{'picks': ['wyrm', 'wyrm', 'wyrm', 'bat', 'bat', 'bat', 'ogre', 'ogre', 'ogre'], 'left': 20}),
('fault site unlock depth #2',
[10, [['bat', 10, 1], ['ogre', 10, 10], ['orc', 5, 10]]],
{'picks': ['bat', 'bat', 'bat', 'ogre', 'ogre', 'ogre', 'orc', 'orc', 'orc'], 'left': 5}),
('regression unlock depth #1',
[0, [['ogre', 2, 0], ['wyrm', 8, 1], ['rat', 5, 0], ['bat', 1, 1], ['imp', 10, 5]]],
{'picks': ['rat', 'rat'], 'left': 0}),
('partial repair boundary #1',
[9, [['wyrm', 1, 10], ['imp', 8, 5], ['rat', 8, 10]]],
{'picks': ['imp', 'imp', 'imp'], 'left': 41}),
('milestone depth bonus #1', [5, [['orc', 5, 0]]], {'picks': ['orc', 'orc', 'orc'], 'left': 30}),
('control #1', [3, [['orc', 2, 0], ['wyrm', 2, 5]]], {'picks': ['orc', 'orc', 'orc'], 'left': 19}),
('control #2',
[14, [['orc', 30, 1], ['bat', 15, 5], ['ogre', 5, 0], ['rat', 5, 5]]],
{'picks': ['orc', 'orc', 'orc', 'ogre', 'ogre'], 'left': 0})]]
for label, args, expected in cases[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| unlock at depth #1 | {'left': 2, 'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat']} | {'left': 2, 'picks': ['ogre', 'ogre', 'rat', 'rat', 'rat']} | Passed |
| equal cost tie #1 | {'left': 0, 'picks': ['imp', 'imp']} | {'left': 0, 'picks': ['imp', 'imp']} | Passed |
| fault site unlock depth #1 | {'left': 0, 'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat']} | {'left': 0, 'picks': ['wyrm', 'wyrm', 'wyrm', 'ogre', 'bat', 'rat']} | Passed |
| partial repair boundary #1 | {'left': 24, 'picks': ['wyrm', 'wyrm', 'wyrm']} | {'left': 30, 'picks': []} | Failed |
| partial repair boundary #2 | {'left': 2, 'picks': ['bat', 'bat', 'rat']} | {'left': 3, 'picks': ['bat', 'bat', 'imp', 'imp']} | Failed |
| milestone depth bonus #1 | {'left': 30, 'picks': ['orc', 'orc', 'orc']} | {'left': 30, 'picks': ['orc', 'orc', 'orc']} | Passed |
| control #1 | {'left': 100, 'picks': ['ogre', 'ogre', 'ogre']} | {'left': 100, 'picks': ['ogre', 'ogre', 'ogre']} | Passed |
| control #2 | {'left': 0, 'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre']} | {'left': 0, 'picks': ['imp', 'imp', 'imp', 'ogre', 'ogre', 'ogre']} | Passed |
SHA-256 / afbd85e443b1e6f7f48a434254522cb789e31510fa518d97224662a7b8928551
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
Member access is invitation-based. Sign in with your invited account to inspect the repair.
Sign in to the archive ↗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 2026-09-29T14:50:50.640789+00:00.
Case digest / 615e62da044200057510b088fb6dcdd6a0084fcb1504b16a6642cc93bc54ba43