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Example of a O(2^N) algorithm [closed]

Tags:

java

algorithm

I've been told that

O(2^N) denotes an algorithm whose growth will double with each additional element in the input data set

Can someone provide an example that behaves like this?

like image 753
developer Avatar asked Apr 06 '11 12:04

developer


1 Answers

Recursive computation of Fibonacci numbers is a good example of O(2N) algorithm (though O(2N) is not a tight bound for it):

public int fib(int n) {
    if (n <= 1) return n;
    else return fib(n - 2) + fib(n - 1);
}
like image 58
axtavt Avatar answered Sep 30 '22 19:09

axtavt