FA-46116 / Bounded deques / Open access
Weighted deque evicts entries when the budget is exactly met · case 01
Weighted deque evicts entries when the budget is exactly met.
ROOT CAUSE
Weighted deque evicts entries when the budget is exactly met.
THE FAILURE
Weighted deque evicts entries when the budget is exactly met.
Unsuccessful approach: The partial repair still applies the incorrect transition to an admitted boundary or multi-element case.
Case contract
Deque entries have nonnegative weights. Evict the shortest oldest prefix sufficient to satisfy the weight budget; preserve zero-weight entries unless preceding a required eviction. Return survivors, releases, weight and free budget.
Why this case matters
Controlled bounded deque implementation model with explicit storage and lifecycle observations.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
items,budget=x
keep=items[:]
weight=sum(v[1] for v in keep)
dropped=[]
while weight>=budget and keep:
victim=keep.pop(0)
dropped.append(victim)
weight-=victim[1]
return [keep,dropped,weight,budget-weight]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('multiple evictions', solve([[[N,3],[N+1,4],[N+2,2]],3]), {1: [[[3, 2]], [[1, 3], [2, 4]], 2, 1], 2: [[[4, 2]], [[2, 3], [3, 4]], 2, 1], 3: [[[5, 2]], [[3, 3], [4, 4]], 2, 1], 4: [[[6, 2]], [[4, 3], [5, 4]], 2, 1], 5: [[[7, 2]], [[5, 3], [6, 4]], 2, 1]}[N])
check('exact budget', solve([[[N,2],[N+1,3]],5]), {1: [[[1, 2], [2, 3]], [], 5, 0], 2: [[[2, 2], [3, 3]], [], 5, 0], 3: [[[3, 2], [4, 3]], [], 5, 0], 4: [[[4, 2], [5, 3]], [], 5, 0], 5: [[[5, 2], [6, 3]], [], 5, 0]}[N])
check('zero weights', solve([[[N,0],[N+1,4],[N+2,0]],0]), {1: [[[3, 0]], [[1, 0], [2, 4]], 0, 0], 2: [[[4, 0]], [[2, 0], [3, 4]], 0, 0], 3: [[[5, 0]], [[3, 0], [4, 4]], 0, 0], 4: [[[6, 0]], [[4, 0], [5, 4]], 0, 0], 5: [[[7, 0]], [[5, 0], [6, 4]], 0, 0]}[N])
check('empty', solve([[],4]), {1: [[], [], 0, 4], 2: [[], [], 0, 4], 3: [[], [], 0, 4], 4: [[], [], 0, 4], 5: [[], [], 0, 4]}[N])
check('retain suffix', solve([[[N,2],[N+1,1],[N+2,3]],4]), {1: [[[2, 1], [3, 3]], [[1, 2]], 4, 0], 2: [[[3, 1], [4, 3]], [[2, 2]], 4, 0], 3: [[[4, 1], [5, 3]], [[3, 2]], 4, 0], 4: [[[5, 1], [6, 3]], [[4, 2]], 4, 0], 5: [[[6, 1], [7, 3]], [[5, 2]], 4, 0]}[N])
check('heavy singleton', solve([[[N,8]],2]), {1: [[], [[1, 8]], 0, 2], 2: [[], [[2, 8]], 0, 2], 3: [[], [[3, 8]], 0, 2], 4: [[], [[4, 8]], 0, 2], 5: [[], [[5, 8]], 0, 2]}[N])
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 |
|---|---|---|---|
| multiple evictions | [[[3, 2]], [[1, 3], [2, 4]], 2, 1] | [[[3, 2]], [[1, 3], [2, 4]], 2, 1] | Passed |
| exact budget | [[[2, 3]], [[1, 2]], 3, 2] | [[[1, 2], [2, 3]], [], 5, 0] | Failed |
| zero weights | [[], [[1, 0], [2, 4], [3, 0]], 0, 0] | [[[3, 0]], [[1, 0], [2, 4]], 0, 0] | Failed |
| empty | [[], [], 0, 4] | [[], [], 0, 4] | Passed |
| retain suffix | [[[3, 3]], [[1, 2], [2, 1]], 3, 1] | [[[2, 1], [3, 3]], [[1, 2]], 4, 0] | Failed |
| heavy singleton | [[], [[1, 8]], 0, 2] | [[], [[1, 8]], 0, 2] | Passed |
SHA-256 / e601e70a9d669c5d3979ff49806cabe281fcd5f89346eef19bfae42e1ad91a35
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
items,budget=x
keep=items[:]
weight=sum(v[1] for v in keep)
dropped=[]
while weight>=budget and weight>0 and keep:
victim=keep.pop(0)
dropped.append(victim)
weight-=victim[1]
return [keep,dropped,weight,budget-weight]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('multiple evictions', solve([[[N,3],[N+1,4],[N+2,2]],3]), {1: [[[3, 2]], [[1, 3], [2, 4]], 2, 1], 2: [[[4, 2]], [[2, 3], [3, 4]], 2, 1], 3: [[[5, 2]], [[3, 3], [4, 4]], 2, 1], 4: [[[6, 2]], [[4, 3], [5, 4]], 2, 1], 5: [[[7, 2]], [[5, 3], [6, 4]], 2, 1]}[N])
check('exact budget', solve([[[N,2],[N+1,3]],5]), {1: [[[1, 2], [2, 3]], [], 5, 0], 2: [[[2, 2], [3, 3]], [], 5, 0], 3: [[[3, 2], [4, 3]], [], 5, 0], 4: [[[4, 2], [5, 3]], [], 5, 0], 5: [[[5, 2], [6, 3]], [], 5, 0]}[N])
check('zero weights', solve([[[N,0],[N+1,4],[N+2,0]],0]), {1: [[[3, 0]], [[1, 0], [2, 4]], 0, 0], 2: [[[4, 0]], [[2, 0], [3, 4]], 0, 0], 3: [[[5, 0]], [[3, 0], [4, 4]], 0, 0], 4: [[[6, 0]], [[4, 0], [5, 4]], 0, 0], 5: [[[7, 0]], [[5, 0], [6, 4]], 0, 0]}[N])
check('empty', solve([[],4]), {1: [[], [], 0, 4], 2: [[], [], 0, 4], 3: [[], [], 0, 4], 4: [[], [], 0, 4], 5: [[], [], 0, 4]}[N])
check('retain suffix', solve([[[N,2],[N+1,1],[N+2,3]],4]), {1: [[[2, 1], [3, 3]], [[1, 2]], 4, 0], 2: [[[3, 1], [4, 3]], [[2, 2]], 4, 0], 3: [[[4, 1], [5, 3]], [[3, 2]], 4, 0], 4: [[[5, 1], [6, 3]], [[4, 2]], 4, 0], 5: [[[6, 1], [7, 3]], [[5, 2]], 4, 0]}[N])
check('heavy singleton', solve([[[N,8]],2]), {1: [[], [[1, 8]], 0, 2], 2: [[], [[2, 8]], 0, 2], 3: [[], [[3, 8]], 0, 2], 4: [[], [[4, 8]], 0, 2], 5: [[], [[5, 8]], 0, 2]}[N])
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 |
|---|---|---|---|
| multiple evictions | [[[3, 2]], [[1, 3], [2, 4]], 2, 1] | [[[3, 2]], [[1, 3], [2, 4]], 2, 1] | Passed |
| exact budget | [[[2, 3]], [[1, 2]], 3, 2] | [[[1, 2], [2, 3]], [], 5, 0] | Failed |
| zero weights | [[[3, 0]], [[1, 0], [2, 4]], 0, 0] | [[[3, 0]], [[1, 0], [2, 4]], 0, 0] | Passed |
| empty | [[], [], 0, 4] | [[], [], 0, 4] | Passed |
| retain suffix | [[[3, 3]], [[1, 2], [2, 1]], 3, 1] | [[[2, 1], [3, 3]], [[1, 2]], 4, 0] | Failed |
| heavy singleton | [[], [[1, 8]], 0, 2] | [[], [[1, 8]], 0, 2] | Passed |
SHA-256 / 4bac6aa4e23ad0d9bd97404e219db361bdd199e01b02f3dafbab3e8f43e38447
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 6 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.
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Sign in to the archive ↗Verification & scope
Offline finite deterministic model; no claim of production implementation or concurrent memory-model conformance. 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 2026-09-29T14:44:29.171375+00:00.
Case digest / 6b5edadf524c97f2928a61716cf8c68d1a2dd83f1703523c7e48f434293251fc