How do you calculate the time complexity of a recursive function?
You determine the total number of times the function is recursively called (the nodes in the recursion tree) and multiply it by the amount of non-recursive work done in each call.
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More FAQs in Analyzing the Time Complexity of Recursive Functions
If it decrements by 1 (e.g., n-1) and makes a single call, it forms a straight line of N calls, resulting in O(N) Linear Time.
Because instead of decrementing by 1, it divides the input size by 2 on each recursive call, slashing the required number of calls logarithmically.
Traversing an entire tree to visit every node is O(N) because you must process all N nodes. Searching a perfectly balanced Binary Search Tree is O(log N).
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