FA-47011 / Bounded deques / Open access
Lazy reversed deque reports the physical front payload · case 01
Lazy reversed deque reports the physical front payload.
ROOT CAUSE
Lazy reversed deque reports the physical front payload.
THE FAILURE
Lazy reversed deque reports the physical front payload.
Unsuccessful approach: The partial repair still applies the incorrect transition to an admitted boundary or multi-element case.
Case contract
A bounded deque stores physical values and a lazy reversed flag. Flip toggles orientation without moving storage; logical append and front-pop select the appropriate physical endpoint. Full append rejects.
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):
storage,reverse,op,value,cap=x
logical=storage[::-1] if reverse else storage[:]
if op=='flip':return [storage,not reverse,logical[::-1],None]
if op=='push':
if len(storage)==cap:return [storage,reverse,logical,'full']
physical=[value]+storage if reverse else storage+[value]
return [physical,reverse,logical+[value],None]
if not storage:return [storage,reverse,logical,'empty']
result=storage[:-1] if reverse else storage[1:]
removed=storage[0]
remaining=result[::-1] if reverse else result[:]
return [result,reverse,remaining,removed]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('0', solve([[N,N+1,N+2],True,"pop",0,4]), {1: [[1, 2], True, [2, 1], 3], 2: [[2, 3], True, [3, 2], 4], 3: [[3, 4], True, [4, 3], 5], 4: [[4, 5], True, [5, 4], 6], 5: [[5, 6], True, [6, 5], 7]}[N])
check('1', solve([[N,N+1],True,"push",N+2,4]), {1: [[3, 1, 2], True, [2, 1, 3], None], 2: [[4, 2, 3], True, [3, 2, 4], None], 3: [[5, 3, 4], True, [4, 3, 5], None], 4: [[6, 4, 5], True, [5, 4, 6], None], 5: [[7, 5, 6], True, [6, 5, 7], None]}[N])
check('2', solve([[N,N+1],False,"flip",0,3]), {1: [[1, 2], True, [2, 1], None], 2: [[2, 3], True, [3, 2], None], 3: [[3, 4], True, [4, 3], None], 4: [[4, 5], True, [5, 4], None], 5: [[5, 6], True, [6, 5], None]}[N])
check('3', solve([[N,N+1],True,"flip",0,3]), {1: [[1, 2], False, [1, 2], None], 2: [[2, 3], False, [2, 3], None], 3: [[3, 4], False, [3, 4], None], 4: [[4, 5], False, [4, 5], None], 5: [[5, 6], False, [5, 6], None]}[N])
check('4', solve([[N],False,"push",N+1,1]), {1: [[1], False, [1], 'full'], 2: [[2], False, [2], 'full'], 3: [[3], False, [3], 'full'], 4: [[4], False, [4], 'full'], 5: [[5], False, [5], 'full']}[N])
check('5', solve([[],True,"pop",0,3]), {1: [[], True, [], 'empty'], 2: [[], True, [], 'empty'], 3: [[], True, [], 'empty'], 4: [[], True, [], 'empty'], 5: [[], True, [], 'empty']}[N])
check('6', solve([[N,N+1],False,"pop",0,3]), {1: [[2], False, [2], 1], 2: [[3], False, [3], 2], 3: [[4], False, [4], 3], 4: [[5], False, [5], 4], 5: [[6], False, [6], 5]}[N])
check('7', solve([[N],False,"push",N+1,3]), {1: [[1, 2], False, [1, 2], None], 2: [[2, 3], False, [2, 3], None], 3: [[3, 4], False, [3, 4], None], 4: [[4, 5], False, [4, 5], None], 5: [[5, 6], False, [5, 6], None]}[N])
check('full reversed rejection', solve([[N,N+1],True,'push',N+2,2]), [[N,N+1],True,[N+1,N],'full'])
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 |
|---|---|---|---|
| 0 | [[1, 2], True, [2, 1], 1] | [[1, 2], True, [2, 1], 3] | Failed |
| 1 | [[3, 1, 2], True, [2, 1, 3], None] | [[3, 1, 2], True, [2, 1, 3], None] | Passed |
| 2 | [[1, 2], True, [2, 1], None] | [[1, 2], True, [2, 1], None] | Passed |
| 3 | [[1, 2], False, [1, 2], None] | [[1, 2], False, [1, 2], None] | Passed |
| 4 | [[1], False, [1], 'full'] | [[1], False, [1], 'full'] | Passed |
| 5 | [[], True, [], 'empty'] | [[], True, [], 'empty'] | Passed |
| 6 | [[2], False, [2], 1] | [[2], False, [2], 1] | Passed |
| 7 | [[1, 2], False, [1, 2], None] | [[1, 2], False, [1, 2], None] | Passed |
| full reversed rejection | [[1, 2], True, [2, 1], 'full'] | [[1, 2], True, [2, 1], 'full'] | Passed |
SHA-256 / 4e3b9783bc51be66d8309adb4b1dbc6c68d742949fa415fd66f96850dc3b43f7
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
storage,reverse,op,value,cap=x
logical=storage[::-1] if reverse else storage[:]
if op=='flip':return [storage,not reverse,logical[::-1],None]
if op=='push':
if len(storage)==cap:return [storage,reverse,logical,'full']
physical=[value]+storage if reverse else storage+[value]
return [physical,reverse,logical+[value],None]
if not storage:return [storage,reverse,logical,'empty']
result=storage[:-1] if reverse else storage[1:]
removed=storage[-1] if reverse and len(storage)==1 else storage[0]
remaining=result[::-1] if reverse else result[:]
return [result,reverse,remaining,removed]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('0', solve([[N,N+1,N+2],True,"pop",0,4]), {1: [[1, 2], True, [2, 1], 3], 2: [[2, 3], True, [3, 2], 4], 3: [[3, 4], True, [4, 3], 5], 4: [[4, 5], True, [5, 4], 6], 5: [[5, 6], True, [6, 5], 7]}[N])
check('1', solve([[N,N+1],True,"push",N+2,4]), {1: [[3, 1, 2], True, [2, 1, 3], None], 2: [[4, 2, 3], True, [3, 2, 4], None], 3: [[5, 3, 4], True, [4, 3, 5], None], 4: [[6, 4, 5], True, [5, 4, 6], None], 5: [[7, 5, 6], True, [6, 5, 7], None]}[N])
check('2', solve([[N,N+1],False,"flip",0,3]), {1: [[1, 2], True, [2, 1], None], 2: [[2, 3], True, [3, 2], None], 3: [[3, 4], True, [4, 3], None], 4: [[4, 5], True, [5, 4], None], 5: [[5, 6], True, [6, 5], None]}[N])
check('3', solve([[N,N+1],True,"flip",0,3]), {1: [[1, 2], False, [1, 2], None], 2: [[2, 3], False, [2, 3], None], 3: [[3, 4], False, [3, 4], None], 4: [[4, 5], False, [4, 5], None], 5: [[5, 6], False, [5, 6], None]}[N])
check('4', solve([[N],False,"push",N+1,1]), {1: [[1], False, [1], 'full'], 2: [[2], False, [2], 'full'], 3: [[3], False, [3], 'full'], 4: [[4], False, [4], 'full'], 5: [[5], False, [5], 'full']}[N])
check('5', solve([[],True,"pop",0,3]), {1: [[], True, [], 'empty'], 2: [[], True, [], 'empty'], 3: [[], True, [], 'empty'], 4: [[], True, [], 'empty'], 5: [[], True, [], 'empty']}[N])
check('6', solve([[N,N+1],False,"pop",0,3]), {1: [[2], False, [2], 1], 2: [[3], False, [3], 2], 3: [[4], False, [4], 3], 4: [[5], False, [5], 4], 5: [[6], False, [6], 5]}[N])
check('7', solve([[N],False,"push",N+1,3]), {1: [[1, 2], False, [1, 2], None], 2: [[2, 3], False, [2, 3], None], 3: [[3, 4], False, [3, 4], None], 4: [[4, 5], False, [4, 5], None], 5: [[5, 6], False, [5, 6], None]}[N])
check('full reversed rejection', solve([[N,N+1],True,'push',N+2,2]), [[N,N+1],True,[N+1,N],'full'])
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 |
|---|---|---|---|
| 0 | [[1, 2], True, [2, 1], 1] | [[1, 2], True, [2, 1], 3] | Failed |
| 1 | [[3, 1, 2], True, [2, 1, 3], None] | [[3, 1, 2], True, [2, 1, 3], None] | Passed |
| 2 | [[1, 2], True, [2, 1], None] | [[1, 2], True, [2, 1], None] | Passed |
| 3 | [[1, 2], False, [1, 2], None] | [[1, 2], False, [1, 2], None] | Passed |
| 4 | [[1], False, [1], 'full'] | [[1], False, [1], 'full'] | Passed |
| 5 | [[], True, [], 'empty'] | [[], True, [], 'empty'] | Passed |
| 6 | [[2], False, [2], 1] | [[2], False, [2], 1] | Passed |
| 7 | [[1, 2], False, [1, 2], None] | [[1, 2], False, [1, 2], None] | Passed |
| full reversed rejection | [[1, 2], True, [2, 1], 'full'] | [[1, 2], True, [2, 1], 'full'] | Passed |
SHA-256 / 0aa63dd587115efa837d59ac696f8447d09ffc36ec9ba0986b26d31a878617a7
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 9 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 2026-09-29T14:44:37.584004+00:00.
Case digest / 61b9b77bbd92c7d3a32485e2d639a63f7272aaa52d6dba1462addf709ba08c1a