FA-37031 / Table interactions / Open access
Merged cell rendering: covered anchor exclusion · case 01
The table covered anchor exclusion result violates the stipulated merged cell rendering contract.
ROOT CAUSE
The covered anchor exclusion decision uses 'cells' instead of 'cells-{(rr[0],cc[0])}'.
THE FAILURE
The covered anchor exclusion decision uses 'cells' instead of 'cells-{(rr[0],cc[0])}'.
Unsuccessful approach: The attempted repair 'set()' still loses a required part of the table contract.
Case contract
Merged rectangles are expressed in source coordinates, clipped to source bounds and visible rows/columns, rebased to the first visible cell, and accepted in declaration order only if disjoint; plain cells omit every accepted merged cell.
Why this case matters
An offline table UI model isolates merged cell rendering, including adversarial row/column relationships.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rows, cols, anchors, hidden_rows, hidden_cols):
vr=[r for r in rows if r not in hidden_rows]
vc=[c for c in cols if c not in hidden_cols]
result=[]
covered=set()
for a in anchors:
rr=[r for r in rows[a['r']:a['r']+a['rs']] if r in vr]
cc=[c for c in cols[a['c']:a['c']+a['cs']] if c in vc]
if not rr or not cc: continue
cells={(r,c) for r in rr for c in cc}
if cells & covered: continue
covered |= cells
result.append({'anchor':[rr[0],cc[0]],'rowspan':len(rr),'colspan':len(cc),'value':a['value'],'covered':sorted(cells)})
return {'merges':result,'plain':[(r,c) for r in vr for c in vc if (r,c) not in covered]}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':1}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 1, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 2:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':2}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 2, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 3:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':3}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 3, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 4:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':4}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 4, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 5:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':5}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 5, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
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 |
|---|---|---|---|
| nonzero origin | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 2, 'covered': [['r1', 'b'], ['r1', 'c'], ['r2', 'b'], ['r2', 'c']], 'rowspan': 2, 'value': 1}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r0', 'c'], ['r0', 'd'], ['r1', 'a'], ['r1', 'd'], ['r2', 'a'], ['r2', 'd'], ['r3', 'a'], ['r3', 'b'], ['r3', 'c'], ['r3', 'd']]} | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 2, 'covered': [['r1', 'c'], ['r2', 'b'], ['r2', 'c']], 'rowspan': 2, 'value': 1}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r0', 'c'], ['r0', 'd'], ['r1', 'a'], ['r1', 'd'], ['r2', 'a'], ['r2', 'd'], ['r3', 'a'], ['r3', 'b'], ['r3', 'c'], ['r3', 'd']]} | Failed |
| hidden anchor | {'merges': [{'anchor': ['r2', 'c'], 'colspan': 1, 'covered': [['r2', 'c']], 'rowspan': 1, 'value': 'x'}], 'plain': []} | {'merges': [{'anchor': ['r2', 'c'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': []} | Failed |
| partial overlap | {'merges': [{'anchor': ['r0', 'a'], 'colspan': 2, 'covered': [['r0', 'a'], ['r0', 'b'], ['r1', 'a'], ['r1', 'b']], 'rowspan': 2, 'value': 'x'}], 'plain': [['r0', 'c'], ['r1', 'c'], ['r2', 'a'], ['r2', 'b'], ['r2', 'c']]} | {'merges': [{'anchor': ['r0', 'a'], 'colspan': 2, 'covered': [['r0', 'b'], ['r1', 'a'], ['r1', 'b']], 'rowspan': 2, 'value': 'x'}], 'plain': [['r0', 'c'], ['r1', 'c'], ['r2', 'a'], ['r2', 'b'], ['r2', 'c']]} | Failed |
| hidden merge | {'merges': [], 'plain': []} | {'merges': [], 'plain': []} | Passed |
| clamped span | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 1, 'covered': [['r1', 'b']], 'rowspan': 1, 'value': 'x'}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a']]} | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a']]} | Failed |
| unmerged grid | {'merges': [], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a'], ['r1', 'b']]} | {'merges': [], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a'], ['r1', 'b']]} | Passed |
SHA-256 / cb0e591840a2ecade3e868d09565fd42fefc7e0ad0467746efc0f815698f2d77
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(rows, cols, anchors, hidden_rows, hidden_cols):
vr=[r for r in rows if r not in hidden_rows]
vc=[c for c in cols if c not in hidden_cols]
result=[]
covered=set()
for a in anchors:
rr=[r for r in rows[a['r']:a['r']+a['rs']] if r in vr]
cc=[c for c in cols[a['c']:a['c']+a['cs']] if c in vc]
if not rr or not cc: continue
cells={(r,c) for r in rr for c in cc}
if cells & covered: continue
covered |= cells
result.append({'anchor':[rr[0],cc[0]],'rowspan':len(rr),'colspan':len(cc),'value':a['value'],'covered':sorted(set())})
return {'merges':result,'plain':[(r,c) for r in vr for c in vc if (r,c) not in covered]}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':1}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 1, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 2:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':2}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 2, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 3:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':3}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 3, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 4:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':4}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 4, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
if N == 5:
check('nonzero origin', solve(['r0','r1','r2','r3'], ['a','b','c','d'], [{'r':1,'c':1,'rs':2,'cs':2,'value':5}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 2, 'colspan': 2, 'value': 5, 'covered': [('r1', 'c'), ('r2', 'b'), ('r2', 'c')]}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r0', 'c'), ('r0', 'd'), ('r1', 'a'), ('r1', 'd'), ('r2', 'a'), ('r2', 'd'), ('r3', 'a'), ('r3', 'b'), ('r3', 'c'), ('r3', 'd')]})
check('hidden anchor', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':3,'cs':3,'value':'x'}], ['r0','r1'], ['a','b']), {'merges': [{'anchor': ['r2', 'c'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': []})
check('partial overlap', solve(['r0','r1','r2'], ['a','b','c'], [{'r':0,'c':0,'rs':2,'cs':2,'value':'x'},{'r':1,'c':1,'rs':2,'cs':2,'value':'y'}], [], []), {'merges': [{'anchor': ['r0', 'a'], 'rowspan': 2, 'colspan': 2, 'value': 'x', 'covered': [('r0', 'b'), ('r1', 'a'), ('r1', 'b')]}], 'plain': [('r0', 'c'), ('r1', 'c'), ('r2', 'a'), ('r2', 'b'), ('r2', 'c')]})
check('hidden merge', solve(['r0'], ['a'], [{'r':0,'c':0,'rs':1,'cs':1,'value':'x'}], ['r0'], []), {'merges': [], 'plain': []})
check('clamped span', solve(['r0','r1'], ['a','b'], [{'r':1,'c':1,'rs':4,'cs':4,'value':'x'}], [], []), {'merges': [{'anchor': ['r1', 'b'], 'rowspan': 1, 'colspan': 1, 'value': 'x', 'covered': []}], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a')]})
check('unmerged grid', solve(['r0','r1'], ['a','b'], [], [], []), {'merges': [], 'plain': [('r0', 'a'), ('r0', 'b'), ('r1', 'a'), ('r1', 'b')]})
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 |
|---|---|---|---|
| nonzero origin | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 2, 'covered': [], 'rowspan': 2, 'value': 1}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r0', 'c'], ['r0', 'd'], ['r1', 'a'], ['r1', 'd'], ['r2', 'a'], ['r2', 'd'], ['r3', 'a'], ['r3', 'b'], ['r3', 'c'], ['r3', 'd']]} | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 2, 'covered': [['r1', 'c'], ['r2', 'b'], ['r2', 'c']], 'rowspan': 2, 'value': 1}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r0', 'c'], ['r0', 'd'], ['r1', 'a'], ['r1', 'd'], ['r2', 'a'], ['r2', 'd'], ['r3', 'a'], ['r3', 'b'], ['r3', 'c'], ['r3', 'd']]} | Failed |
| hidden anchor | {'merges': [{'anchor': ['r2', 'c'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': []} | {'merges': [{'anchor': ['r2', 'c'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': []} | Passed |
| partial overlap | {'merges': [{'anchor': ['r0', 'a'], 'colspan': 2, 'covered': [], 'rowspan': 2, 'value': 'x'}], 'plain': [['r0', 'c'], ['r1', 'c'], ['r2', 'a'], ['r2', 'b'], ['r2', 'c']]} | {'merges': [{'anchor': ['r0', 'a'], 'colspan': 2, 'covered': [['r0', 'b'], ['r1', 'a'], ['r1', 'b']], 'rowspan': 2, 'value': 'x'}], 'plain': [['r0', 'c'], ['r1', 'c'], ['r2', 'a'], ['r2', 'b'], ['r2', 'c']]} | Failed |
| hidden merge | {'merges': [], 'plain': []} | {'merges': [], 'plain': []} | Passed |
| clamped span | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a']]} | {'merges': [{'anchor': ['r1', 'b'], 'colspan': 1, 'covered': [], 'rowspan': 1, 'value': 'x'}], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a']]} | Passed |
| unmerged grid | {'merges': [], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a'], ['r1', 'b']]} | {'merges': [], 'plain': [['r0', 'a'], ['r0', 'b'], ['r1', 'a'], ['r1', 'b']]} | Passed |
SHA-256 / d0ffa498544e801a35a9b276bf276a87fc339c2d7632a46bec0e907cdd16f3ab
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
Source axes have unique IDs; anchor origins are valid source indices and spans are positive integers. Deterministic offline table UI model; no browser, DOM, framework, or standards conformance is claimed. 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 2026-09-29T14:42:57.231986+00:00.
Case digest / 8edbbe2f6c07530296bbc6ff1687a89075b452edcf4f7753cc284239c211ae58