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Maintain a grid of latitude and longitude of some particular length and set of cabs in each grid element.
- yakkala July 27, 2018So if a cab moves from one grid to another. You can update the grid sets in O(1) time.
When a user at position(uLat,uLong) queries for cabs within a radius r, we will process all grid elements between (uLat-r) to (uLat+r) and (uLong-r) to (uLong+r). For every cab in such grid element, we check whether they are at a distance r from the user. This takes O(total no. of cabs considered) or O(total no. of grids considered) time.