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There’s no formal reason why the input to a recursive function must be a “smaller” or “simpler” version of itself, that’s just a way of explaining it intuitively/informally. You need to reduce the “complexity” (meant informally as ‘deviation from a trivial case’) at every step (only) if you want to the algorithm to actually finish.
There’s no formal reason why the input to a recursive function must be a “smaller” or “simpler” version of itself, that’s just a way of explaining it intuitively/informally. You need to reduce the “complexity” (meant informally as ‘deviation from a trivial case’) at every step (only) if you want to the algorithm to actually finish.