Games and physics simulations need to detect which objects are touching or overlapping. With nnn objects, checking every pair is O(n2)O(n^2)O(n2) comparisons, which gets expensive fast. A hundred objects means roughly 5,000 pair checks. A thousand means nearly 500,000.
the first append allocates a backing store of length 4 from the stack.
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Comparison between an unsorted and a luminance sorted candidate set, using Knoll’s algorithm on an 8-colour irregular palette. Left to right: unsorted, sorted.