FA-27556 / HTTP ranges / Open access
A range-set guard limits amplification before serving resolved byte ranges: touching ranges are not counted as overlapping while a shared byte is · case 01
A range-set guard limits amplification before serving resolved byte ranges: touching ranges are not counted as overlapping while a shared byte is.
ROOT CAUSE
The range-abuse-guard-adjacency-not-overlap decision uses L=x['length'] rs=x['ranges'] if not rs: return ['full',None] if len(rs)>x['max_ranges']: return ['full',None] total=0 for a,b in rs: total+=b-a+1 if total>2*L: return ['full',None] if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None] order=sorted(rs) overlaps=0 end=-1 for a,b in order: if a<=end+1: overlaps+=1 end=max(end,b) if overlaps>x['max_overlaps']: return ['full',None] disorder=0 for i in range(1,len(rs)): if rs[i][0]<rs[i-1][0]: disorder+=1 if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]] merged=[] for lo,hi in order: if merged and lo<=merged[-1][1]+1: merged[-1][1]=max(merged[-1][1],hi) else: merged.append([lo,hi]) return ['ranges',merged].
VERIFIED REPAIR
Apply the bounded decision exactly: L=x['length'] rs=x['ranges'] if not rs: return ['full',None] if len(rs)>x['max_ranges']: return ['full',None] total=0 for a,b in rs: total+=b-a+1 if total>2*L: return ['full',None] if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None] order=sorted(rs) overlaps=0 end=-1 for a,b in order: if a<=end: overlaps+=1 end=max(end,b) if overlaps>x['max_overlaps']: return ['full',None] disorder=0 for i in range(1,len(rs)): if rs[i][0]<rs[i-1][0]: disorder+=1 if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]] merged=[] for lo,hi in order: if merged and lo<=merged[-1][1]+1: merged[-1][1]=max(merged[-1][1],hi) else: merged.append([lo,hi]) return ['ranges',merged]
Unsuccessful approach: The partial repair uses L=x['length'] rs=x['ranges'] if not rs: return ['full',None] if len(rs)>x['max_ranges']: return ['full',None] total=0 for a,b in rs: total+=b-a+1 if total>2*L: return ['full',None] if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None] order=sorted(rs) overlaps=0 end=-1 for a,b in order: if a<end: overlaps+=1 end=max(end,b) if overlaps>x['max_overlaps']: return ['full',None] disorder=0 for i in range(1,len(rs)): if rs[i][0]<rs[i-1][0]: disorder+=1 if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]] merged=[] for lo,hi in order: if merged and lo<=merged[-1][1]+1: merged[-1][1]=max(merged[-1][1],hi) else: merged.append([lo,hi]) return ['ranges',merged], which still violates the stated contract.
Case contract
x holds a representation length, already resolved satisfiable inclusive ranges in request order, and local policy limits. Serve ["full",null] for an empty list, more than max_ranges members, requested byte sum above twice the length (duplicates count every time), more than max_tiny members shorter than min_span, or more than max_overlaps overlaps. Overlaps are counted by a sweep over start-sorted ranges against the running maximum end; adjacent ranges do not overlap. Inversions count request neighbors whose start decreases. Without overlaps and with inversions within max_disorder, return ["ranges",request-order ranges]; otherwise return ["ranges",start-sorted ranges with overlapping or adjacent members coalesced].
Why this case matters
Range responses combine representation identity, conditional requests, framing, and partial-object state.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
L=x['length']
rs=x['ranges']
if not rs: return ['full',None]
if len(rs)>x['max_ranges']: return ['full',None]
total=0
for a,b in rs:
total+=b-a+1
if total>2*L: return ['full',None]
if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None]
order=sorted(rs)
overlaps=0
end=-1
for a,b in order:
if a<=end+1: overlaps+=1
end=max(end,b)
if overlaps>x['max_overlaps']: return ['full',None]
disorder=0
for i in range(1,len(rs)):
if rs[i][0]<rs[i-1][0]: disorder+=1
if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]]
merged=[]
for lo,hi in order:
if merged and lo<=merged[-1][1]+1:
merged[-1][1]=max(merged[-1][1],hi)
else:
merged.append([lo,hi])
return ['ranges',merged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('adjacency-not-overlap fixture 0', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 1', json.loads(json.dumps(solve({'length':0,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 2', json.loads(json.dumps(solve({'length':10,'max_disorder':1,'max_overlaps':5,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[0,9],[0,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 3', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29]]])))
check('adjacency-not-overlap fixture 4', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[0,9]]}))), json.loads(json.dumps(['ranges',[[50,59],[0,9]]])))
check('adjacency-not-overlap fixture 5', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[0,9]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29],[50,59]]])))
check('adjacency-not-overlap fixture 6', json.loads(json.dumps(solve({'length':100,'max_disorder':0,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[10,19],[30,39],[20,29]]}))), json.loads(json.dumps(['ranges',[[10,39]]])))
check('adjacency-not-overlap fixture 7', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[30,39]]}))), json.loads(json.dumps(['ranges',[[50,59],[20,29],[30,39]]])))
check('adjacency-not-overlap fixture 8', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[5,14]]}))), json.loads(json.dumps(['ranges',[[0,14]]])))
check('adjacency-not-overlap fixture 9', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,20],[5,9]]}))), json.loads(json.dumps(['ranges',[[0,20]]])))
check('adjacency-not-overlap fixture 10', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[1,9],[2,9],[3,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 11', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[20,29],[0,5],[40,49],[30,35]]}))), json.loads(json.dumps(['ranges',[[0,5],[20,35],[40,49]]])))
check('adjacency-not-overlap fixture 12', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,50],[10,20],[30,40]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 13', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[10,19],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[10,19],[20,29]]])))
check('adjacency-not-overlap fixture 14', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':0,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[9,19]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 15', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':1,'min_span':4,'ranges':[[0,0],[10,10],[20,29]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 16', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,1],[10,11],[20,21],[30,31],[40,41],[50,51],[60,61],[70,71],[80,81]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 17', json.loads(json.dumps(solve({'length':10*N,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,N-1],[N,2*N-1]]}))), json.loads(json.dumps(['ranges',[[0,N-1],[N,2*N-1]]])))
check('adjacency-not-overlap fixture 18', json.loads(json.dumps(solve({'length':5*N+1,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,5*N],[0,5*N]]}))), json.loads(json.dumps(['ranges',[[0,5*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 |
|---|---|---|---|
| adjacency-not-overlap fixture 0 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 1 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 2 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 3 | ['ranges', [[0, 9], [20, 29]]] | ['ranges', [[0, 9], [20, 29]]] | Passed |
| adjacency-not-overlap fixture 4 | ['ranges', [[0, 9], [50, 59]]] | ['ranges', [[50, 59], [0, 9]]] | Failed |
| adjacency-not-overlap fixture 5 | ['ranges', [[0, 9], [20, 29], [50, 59]]] | ['ranges', [[0, 9], [20, 29], [50, 59]]] | Passed |
| adjacency-not-overlap fixture 6 | ['ranges', [[10, 39]]] | ['ranges', [[10, 39]]] | Passed |
| adjacency-not-overlap fixture 7 | ['ranges', [[20, 39], [50, 59]]] | ['ranges', [[50, 59], [20, 29], [30, 39]]] | Failed |
| adjacency-not-overlap fixture 8 | ['ranges', [[0, 14]]] | ['ranges', [[0, 14]]] | Passed |
| adjacency-not-overlap fixture 9 | ['ranges', [[0, 20]]] | ['ranges', [[0, 20]]] | Passed |
| adjacency-not-overlap fixture 10 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 11 | ['full', None] | ['ranges', [[0, 5], [20, 35], [40, 49]]] | Failed |
| adjacency-not-overlap fixture 12 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 13 | ['full', None] | ['ranges', [[0, 9], [10, 19], [20, 29]]] | Failed |
| adjacency-not-overlap fixture 14 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 15 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 16 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 17 | ['ranges', [[0, 1]]] | ['ranges', [[0, 0], [1, 1]]] | Failed |
| adjacency-not-overlap fixture 18 | ['ranges', [[0, 5]]] | ['ranges', [[0, 5]]] | Passed |
SHA-256 / 0975777abd2ea7cc7ba0ef1369f346cacd73946ed2221694d791920a5ea01363
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
L=x['length']
rs=x['ranges']
if not rs: return ['full',None]
if len(rs)>x['max_ranges']: return ['full',None]
total=0
for a,b in rs:
total+=b-a+1
if total>2*L: return ['full',None]
if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None]
order=sorted(rs)
overlaps=0
end=-1
for a,b in order:
if a<end: overlaps+=1
end=max(end,b)
if overlaps>x['max_overlaps']: return ['full',None]
disorder=0
for i in range(1,len(rs)):
if rs[i][0]<rs[i-1][0]: disorder+=1
if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]]
merged=[]
for lo,hi in order:
if merged and lo<=merged[-1][1]+1:
merged[-1][1]=max(merged[-1][1],hi)
else:
merged.append([lo,hi])
return ['ranges',merged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('adjacency-not-overlap fixture 0', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 1', json.loads(json.dumps(solve({'length':0,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 2', json.loads(json.dumps(solve({'length':10,'max_disorder':1,'max_overlaps':5,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[0,9],[0,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 3', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29]]])))
check('adjacency-not-overlap fixture 4', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[0,9]]}))), json.loads(json.dumps(['ranges',[[50,59],[0,9]]])))
check('adjacency-not-overlap fixture 5', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[0,9]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29],[50,59]]])))
check('adjacency-not-overlap fixture 6', json.loads(json.dumps(solve({'length':100,'max_disorder':0,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[10,19],[30,39],[20,29]]}))), json.loads(json.dumps(['ranges',[[10,39]]])))
check('adjacency-not-overlap fixture 7', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[30,39]]}))), json.loads(json.dumps(['ranges',[[50,59],[20,29],[30,39]]])))
check('adjacency-not-overlap fixture 8', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[5,14]]}))), json.loads(json.dumps(['ranges',[[0,14]]])))
check('adjacency-not-overlap fixture 9', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,20],[5,9]]}))), json.loads(json.dumps(['ranges',[[0,20]]])))
check('adjacency-not-overlap fixture 10', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[1,9],[2,9],[3,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 11', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[20,29],[0,5],[40,49],[30,35]]}))), json.loads(json.dumps(['ranges',[[0,5],[20,35],[40,49]]])))
check('adjacency-not-overlap fixture 12', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,50],[10,20],[30,40]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 13', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[10,19],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[10,19],[20,29]]])))
check('adjacency-not-overlap fixture 14', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':0,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[9,19]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 15', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':1,'min_span':4,'ranges':[[0,0],[10,10],[20,29]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 16', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,1],[10,11],[20,21],[30,31],[40,41],[50,51],[60,61],[70,71],[80,81]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 17', json.loads(json.dumps(solve({'length':10*N,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,N-1],[N,2*N-1]]}))), json.loads(json.dumps(['ranges',[[0,N-1],[N,2*N-1]]])))
check('adjacency-not-overlap fixture 18', json.loads(json.dumps(solve({'length':5*N+1,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,5*N],[0,5*N]]}))), json.loads(json.dumps(['ranges',[[0,5*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 |
|---|---|---|---|
| adjacency-not-overlap fixture 0 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 1 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 2 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 3 | ['ranges', [[0, 9], [20, 29]]] | ['ranges', [[0, 9], [20, 29]]] | Passed |
| adjacency-not-overlap fixture 4 | ['ranges', [[50, 59], [0, 9]]] | ['ranges', [[50, 59], [0, 9]]] | Passed |
| adjacency-not-overlap fixture 5 | ['ranges', [[0, 9], [20, 29], [50, 59]]] | ['ranges', [[0, 9], [20, 29], [50, 59]]] | Passed |
| adjacency-not-overlap fixture 6 | ['ranges', [[10, 39]]] | ['ranges', [[10, 39]]] | Passed |
| adjacency-not-overlap fixture 7 | ['ranges', [[50, 59], [20, 29], [30, 39]]] | ['ranges', [[50, 59], [20, 29], [30, 39]]] | Passed |
| adjacency-not-overlap fixture 8 | ['ranges', [[0, 14]]] | ['ranges', [[0, 14]]] | Passed |
| adjacency-not-overlap fixture 9 | ['ranges', [[0, 20]]] | ['ranges', [[0, 20]]] | Passed |
| adjacency-not-overlap fixture 10 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 11 | ['ranges', [[0, 5], [20, 35], [40, 49]]] | ['ranges', [[0, 5], [20, 35], [40, 49]]] | Passed |
| adjacency-not-overlap fixture 12 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 13 | ['ranges', [[0, 9], [10, 19], [20, 29]]] | ['ranges', [[0, 9], [10, 19], [20, 29]]] | Passed |
| adjacency-not-overlap fixture 14 | ['ranges', [[0, 9], [9, 19]]] | ['full', None] | Failed |
| adjacency-not-overlap fixture 15 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 16 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 17 | ['ranges', [[0, 0], [1, 1]]] | ['ranges', [[0, 0], [1, 1]]] | Passed |
| adjacency-not-overlap fixture 18 | ['ranges', [[0, 5]]] | ['ranges', [[0, 5]]] | Passed |
SHA-256 / fd5a597d97113448da0b046815097e0078a49a7b4f351a211c90338c40a541b3
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
L=x['length']
rs=x['ranges']
if not rs: return ['full',None]
if len(rs)>x['max_ranges']: return ['full',None]
total=0
for a,b in rs:
total+=b-a+1
if total>2*L: return ['full',None]
if sum(1 for a,b in rs if b-a+1<x['min_span'])>x['max_tiny']: return ['full',None]
order=sorted(rs)
overlaps=0
end=-1
for a,b in order:
if a<=end: overlaps+=1
end=max(end,b)
if overlaps>x['max_overlaps']: return ['full',None]
disorder=0
for i in range(1,len(rs)):
if rs[i][0]<rs[i-1][0]: disorder+=1
if overlaps==0 and disorder<=x['max_disorder']: return ['ranges',[list(r) for r in rs]]
merged=[]
for lo,hi in order:
if merged and lo<=merged[-1][1]+1:
merged[-1][1]=max(merged[-1][1],hi)
else:
merged.append([lo,hi])
return ['ranges',merged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('adjacency-not-overlap fixture 0', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 1', json.loads(json.dumps(solve({'length':0,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 2', json.loads(json.dumps(solve({'length':10,'max_disorder':1,'max_overlaps':5,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[0,9],[0,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 3', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29]]])))
check('adjacency-not-overlap fixture 4', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[0,9]]}))), json.loads(json.dumps(['ranges',[[50,59],[0,9]]])))
check('adjacency-not-overlap fixture 5', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[0,9]]}))), json.loads(json.dumps(['ranges',[[0,9],[20,29],[50,59]]])))
check('adjacency-not-overlap fixture 6', json.loads(json.dumps(solve({'length':100,'max_disorder':0,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[10,19],[30,39],[20,29]]}))), json.loads(json.dumps(['ranges',[[10,39]]])))
check('adjacency-not-overlap fixture 7', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[50,59],[20,29],[30,39]]}))), json.loads(json.dumps(['ranges',[[50,59],[20,29],[30,39]]])))
check('adjacency-not-overlap fixture 8', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[5,14]]}))), json.loads(json.dumps(['ranges',[[0,14]]])))
check('adjacency-not-overlap fixture 9', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,20],[5,9]]}))), json.loads(json.dumps(['ranges',[[0,20]]])))
check('adjacency-not-overlap fixture 10', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[1,9],[2,9],[3,9]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 11', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[20,29],[0,5],[40,49],[30,35]]}))), json.loads(json.dumps(['ranges',[[0,5],[20,35],[40,49]]])))
check('adjacency-not-overlap fixture 12', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,50],[10,20],[30,40]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 13', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':1,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[10,19],[20,29]]}))), json.loads(json.dumps(['ranges',[[0,9],[10,19],[20,29]]])))
check('adjacency-not-overlap fixture 14', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':0,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,9],[9,19]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 15', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':1,'min_span':4,'ranges':[[0,0],[10,10],[20,29]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 16', json.loads(json.dumps(solve({'length':100,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,1],[10,11],[20,21],[30,31],[40,41],[50,51],[60,61],[70,71],[80,81]]}))), json.loads(json.dumps(['full',None])))
check('adjacency-not-overlap fixture 17', json.loads(json.dumps(solve({'length':10*N,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,N-1],[N,2*N-1]]}))), json.loads(json.dumps(['ranges',[[0,N-1],[N,2*N-1]]])))
check('adjacency-not-overlap fixture 18', json.loads(json.dumps(solve({'length':5*N+1,'max_disorder':1,'max_overlaps':2,'max_ranges':8,'max_tiny':8,'min_span':1,'ranges':[[0,5*N],[0,5*N]]}))), json.loads(json.dumps(['ranges',[[0,5*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 |
|---|---|---|---|
| adjacency-not-overlap fixture 0 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 1 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 2 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 3 | ['ranges', [[0, 9], [20, 29]]] | ['ranges', [[0, 9], [20, 29]]] | Passed |
| adjacency-not-overlap fixture 4 | ['ranges', [[50, 59], [0, 9]]] | ['ranges', [[50, 59], [0, 9]]] | Passed |
| adjacency-not-overlap fixture 5 | ['ranges', [[0, 9], [20, 29], [50, 59]]] | ['ranges', [[0, 9], [20, 29], [50, 59]]] | Passed |
| adjacency-not-overlap fixture 6 | ['ranges', [[10, 39]]] | ['ranges', [[10, 39]]] | Passed |
| adjacency-not-overlap fixture 7 | ['ranges', [[50, 59], [20, 29], [30, 39]]] | ['ranges', [[50, 59], [20, 29], [30, 39]]] | Passed |
| adjacency-not-overlap fixture 8 | ['ranges', [[0, 14]]] | ['ranges', [[0, 14]]] | Passed |
| adjacency-not-overlap fixture 9 | ['ranges', [[0, 20]]] | ['ranges', [[0, 20]]] | Passed |
| adjacency-not-overlap fixture 10 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 11 | ['ranges', [[0, 5], [20, 35], [40, 49]]] | ['ranges', [[0, 5], [20, 35], [40, 49]]] | Passed |
| adjacency-not-overlap fixture 12 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 13 | ['ranges', [[0, 9], [10, 19], [20, 29]]] | ['ranges', [[0, 9], [10, 19], [20, 29]]] | Passed |
| adjacency-not-overlap fixture 14 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 15 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 16 | ['full', None] | ['full', None] | Passed |
| adjacency-not-overlap fixture 17 | ['ranges', [[0, 0], [1, 1]]] | ['ranges', [[0, 0], [1, 1]]] | Passed |
| adjacency-not-overlap fixture 18 | ['ranges', [[0, 5]]] | ['ranges', [[0, 5]]] | Passed |
SHA-256 / 7216222d1bdb71a311e7805e3e502ba33ed631a6374c4149b7d7d0dd84b2e00f
Verification & scope
Deterministic simplified range service, with stipulated local policies and already parsed trusted inputs; not a complete HTTP implementation. 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 2026-09-29T14:41:26.124323+00:00.
Case digest / cc8eb32873804697b128dcec2425e2916e388658a8ba4195be6aa240090a64c8