I would like to create a game for mobile that require to calculate multiple time by seconds which moving objects are in the radius of moving points. The game is highly inspired from Gratuitous Space Battles, the radius being from the weapons. Thus, I would like to know if it’s realist to expect to be able to know among 1000 moving objects, in which radius they are among 1000 moving points 100 times per seconds on an average android device. In term of complexity, if there is an algorithm better than O(N*M), N being the number of moving objects and M the number of radius from M moving center and if an algorithm can benefit from the fact that the moving objects are near their precedent position.
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