A maintenance console tracks active asset IDs, depot service rectangles, and integer fingerprints. Use a Python set as the asset oracle, a direct rectangle scan for spatial search, and a multiset plus maximum over XOR scores for fingerprints. Run the reference check after every mutation. In the cuckoo set, force collisions and a rebuild, then check that a failed candidate insertion cannot remove an old ID. In the spatial index, generate overlapping boxes so a parent intersection has false-positive candidates that need leaf checks. In the bit trie, insert duplicates and remove them one at a time. None of the three structures can answer a question outside its contract: an immutable spatial tree cannot take live edits, a two-slot lookup does not make insertion free, and a maximum-XOR partner is not an arbitrary XOR basis combination.
Project: audit asset IDs and depot zones
Acceptance trace
Insert asset IDs 19, 47, 61, 83, and 95. Confirm 61 is present and 26 absent, remove 47, and require four remaining IDs. Build the five service rectangles shown in the spatial lesson; query [10, 8] through [19, 15] and require D-19, D-26, D-47, and D-83 in sorted order. The distant query returns no matches. Store fingerprints 19, 47, 61, 83, and 47 at width eight; querying 26 returns stored partner 83 and XOR score 73. After two removals of 47, its count is zero.
Expected output
asset-61=true asset-26=false live=4
zones=D-19,D-26,D-47,D-83 distant=none
partner=83 score=73 count-47=0Boundary and cost review
Reject IDs outside the unsigned 64-bit domain and fingerprints outside the configured bit width. Check an empty spatial index, a box that only touches a boundary, duplicate record IDs, an empty fingerprint multiset, and a missing removal. The cuckoo lookup makes at most two probes, but relocation and rebuilding have separate costs. R-tree overlap can visit every record, and sorted output adds its own time. A bit trie spends one step per bit and retains one count per live path. Record the chosen coordinate system; these sample rectangles use planar integer coordinates, not latitude and longitude.
Common Mistakes
- Do not discard an evicted key when relocation fails.
- Do not confuse an enclosing node box with an exact record hit.
- Do not delete a trie branch still used by another fingerprint.
- Do not infer a worst-case fast search from a favorable sample layout.