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Geospatial Indexing Fundamentals
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Geospatial Indexing Fundamentals

HardPython

Problem

Lots and lots of low-level geospatial indexing questions

Implement a static spatial index for latitude-longitude points using quantization, Morton/Z-order codes, recursive cell decomposition, and binary search over sorted code ranges. Return matching point IDs in their original input order after exact coordinate filtering.

Function signature: def range_query(points, south, west, north, east, bits):. points is a list of [id, latitude, longitude]; return IDs inside the inclusive rectangle. Coordinates satisfy -90 <= latitude <= 90 and -180 <= longitude <= 180, with south <= north and west <= east.

Constraints

  • 1 <= len(points) <= 5000
  • 1 <= bits <= 15
  • Each point is [unique_id, latitude, longitude]
  • -90 <= latitude <= 90
  • -180 <= longitude <= 180
  • south <= north and west <= east
  • Point IDs are JSON-compatible values and are unique

Function Signature

def range_query(points, south, west, north, east, bits):
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