FA-46086 / Bounded deques / Open access
Deque coalescing compares the first run instead of the last · case 01
Deque coalescing compares the first run instead of the last.
ROOT CAUSE
Deque coalescing compares the first run instead of the last.
THE FAILURE
Deque coalescing compares the first run instead of the last.
Unsuccessful approach: The partial repair still applies the incorrect transition to an admitted boundary or multi-element case.
Case contract
Coalesce adjacent equal deque payloads into [payload,run length] descriptors. Preserve non-adjacent equal runs and report cumulative exclusive run ends.
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 = x
runs = []
for value in items:
if runs and runs[0][0] == value:
runs[-1][1] += 1
else:
runs.append([value,1])
ends=[]
total=0
for value,count in runs:
total += count
ends.append(total)
return [runs,ends]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('separate same values', solve([N,N,N+1,N,N]), {1: [[[1, 2], [2, 1], [1, 2]], [2, 3, 5]], 2: [[[2, 2], [3, 1], [2, 2]], [2, 3, 5]], 3: [[[3, 2], [4, 1], [3, 2]], [2, 3, 5]], 4: [[[4, 2], [5, 1], [4, 2]], [2, 3, 5]], 5: [[[5, 2], [6, 1], [5, 2]], [2, 3, 5]]}[N])
check('single', solve([N]), {1: [[[1, 1]], [1]], 2: [[[2, 1]], [1]], 3: [[[3, 1]], [1]], 4: [[[4, 1]], [1]], 5: [[[5, 1]], [1]]}[N])
check('empty', solve([]), {1: [[], []], 2: [[], []], 3: [[], []], 4: [[], []], 5: [[], []]}[N])
check('all same', solve([N,N,N,N]), {1: [[[1, 4]], [4]], 2: [[[2, 4]], [4]], 3: [[[3, 4]], [4]], 4: [[[4, 4]], [4]], 5: [[[5, 4]], [4]]}[N])
check('all different', solve([N,N+1,N+2]), {1: [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]], 2: [[[2, 1], [3, 1], [4, 1]], [1, 2, 3]], 3: [[[3, 1], [4, 1], [5, 1]], [1, 2, 3]], 4: [[[4, 1], [5, 1], [6, 1]], [1, 2, 3]], 5: [[[5, 1], [6, 1], [7, 1]], [1, 2, 3]]}[N])
check('unequal runs', solve([N,N,N+1,N+1,N+1,N+2]), {1: [[[1, 2], [2, 3], [3, 1]], [2, 5, 6]], 2: [[[2, 2], [3, 3], [4, 1]], [2, 5, 6]], 3: [[[3, 2], [4, 3], [5, 1]], [2, 5, 6]], 4: [[[4, 2], [5, 3], [6, 1]], [2, 5, 6]], 5: [[[5, 2], [6, 3], [7, 1]], [2, 5, 6]]}[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 |
|---|---|---|---|
| separate same values | [[[1, 2], [2, 3]], [2, 5]] | [[[1, 2], [2, 1], [1, 2]], [2, 3, 5]] | Failed |
| single | [[[1, 1]], [1]] | [[[1, 1]], [1]] | Passed |
| empty | [[], []] | [[], []] | Passed |
| all same | [[[1, 4]], [4]] | [[[1, 4]], [4]] | Passed |
| all different | [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]] | [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]] | Passed |
| unequal runs | [[[1, 2], [2, 1], [2, 1], [2, 1], [3, 1]], [2, 3, 4, 5, 6]] | [[[1, 2], [2, 3], [3, 1]], [2, 5, 6]] | Failed |
SHA-256 / 567c84c3089dea5ad9aae862338561fd08c6ad0585052f78091dc2142650f04c
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
items = x
runs = []
for value in items:
if runs and (runs[-1][0] if len(runs)<2 else runs[0][0]) == value:
runs[-1][1] += 1
else:
runs.append([value,1])
ends=[]
total=0
for value,count in runs:
total += count
ends.append(total)
return [runs,ends]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('separate same values', solve([N,N,N+1,N,N]), {1: [[[1, 2], [2, 1], [1, 2]], [2, 3, 5]], 2: [[[2, 2], [3, 1], [2, 2]], [2, 3, 5]], 3: [[[3, 2], [4, 1], [3, 2]], [2, 3, 5]], 4: [[[4, 2], [5, 1], [4, 2]], [2, 3, 5]], 5: [[[5, 2], [6, 1], [5, 2]], [2, 3, 5]]}[N])
check('single', solve([N]), {1: [[[1, 1]], [1]], 2: [[[2, 1]], [1]], 3: [[[3, 1]], [1]], 4: [[[4, 1]], [1]], 5: [[[5, 1]], [1]]}[N])
check('empty', solve([]), {1: [[], []], 2: [[], []], 3: [[], []], 4: [[], []], 5: [[], []]}[N])
check('all same', solve([N,N,N,N]), {1: [[[1, 4]], [4]], 2: [[[2, 4]], [4]], 3: [[[3, 4]], [4]], 4: [[[4, 4]], [4]], 5: [[[5, 4]], [4]]}[N])
check('all different', solve([N,N+1,N+2]), {1: [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]], 2: [[[2, 1], [3, 1], [4, 1]], [1, 2, 3]], 3: [[[3, 1], [4, 1], [5, 1]], [1, 2, 3]], 4: [[[4, 1], [5, 1], [6, 1]], [1, 2, 3]], 5: [[[5, 1], [6, 1], [7, 1]], [1, 2, 3]]}[N])
check('unequal runs', solve([N,N,N+1,N+1,N+1,N+2]), {1: [[[1, 2], [2, 3], [3, 1]], [2, 5, 6]], 2: [[[2, 2], [3, 3], [4, 1]], [2, 5, 6]], 3: [[[3, 2], [4, 3], [5, 1]], [2, 5, 6]], 4: [[[4, 2], [5, 3], [6, 1]], [2, 5, 6]], 5: [[[5, 2], [6, 3], [7, 1]], [2, 5, 6]]}[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 |
|---|---|---|---|
| separate same values | [[[1, 2], [2, 3]], [2, 5]] | [[[1, 2], [2, 1], [1, 2]], [2, 3, 5]] | Failed |
| single | [[[1, 1]], [1]] | [[[1, 1]], [1]] | Passed |
| empty | [[], []] | [[], []] | Passed |
| all same | [[[1, 4]], [4]] | [[[1, 4]], [4]] | Passed |
| all different | [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]] | [[[1, 1], [2, 1], [3, 1]], [1, 2, 3]] | Passed |
| unequal runs | [[[1, 2], [2, 1], [2, 1], [2, 1], [3, 1]], [2, 3, 4, 5, 6]] | [[[1, 2], [2, 3], [3, 1]], [2, 5, 6]] | Failed |
SHA-256 / 4afe32544f01b5bd3c36861a935fbbf55b27548ae3f4ab107365caf2bb2faa95
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 2026-09-29T14:44:28.940715+00:00.
Case digest / 23cacc52759dc1fa70e6542213804bc05a716c82b21c212e4588cc03e24f9fad