Tree - (Recursion|Induction) Algorithm

> (Data|State) Management and Processing > (Data Type|Data Structure) > (Tree|Nested Set|Hierarchy) Data Structure

1 - About

A recursive algorithms invoke themselves as a subroutine with a smaller input.

The idea of the recursion tree method is to write out all of the work done by the recursive algorithm in a tree structure, with the children of a given node corresponding to the recursive calls made by that node.

See Mathematics - Logarithm Function (log)


3 - Base case

Recursive algorithms need a base case so they don't keep calling themselves until the rest of time. When the input's sufficient (small), you stop the recursion and you just return some trivial answer.