Google Interview Question

Fibonacci numbers... haha.

Interview Answers

Anonymous

Aug 28, 2011

It can be done in O(logN) time is you are really clever. O(n) is the standard iterative answer, if you cache the last two calculations. If you gave the recursive answer, O(2^N), then that is why you failed.

4

Anonymous

Jan 21, 2012

public class Fibonacci { public static int fib(int n){ if (n == 1){ return 1; } if (n == 2){ return 1; } int fib1 = 1; int fib2 =1; int temp; for (int i=3; i<=n; ++i){ temp = fib1; fib1 = fib2; fib2 = temp + fib2; } return fib2; } public static int fib_rec(int n){ if (n == 1){ return 1; } if (n == 2){ return 1; } return fib_rec(n-1)+fib_rec(n-2); } public static void main(String[] args) { for (int i=1; i<15; ++i){ System.out.println(fib(i)); } System.out.println("=========================="); for (int i=1; i<15; ++i){ System.out.println(fib_rec(i)); } } }

Anonymous

Jan 22, 2012

here is the O(logn) solution public static int fib_log(int n){ int[][] mat = new int[2][2]; mat[0][0] = 1;mat[0][1] = 1;mat[1][0] = 1;mat[1][1] = 0; int i; int[][] matRes = mat; for (i=2; i<=n; i*=2){ matRes = double_mat(matRes); } for (int j=(i/2); j

Anonymous

Jul 22, 2012

lol Why did Liron write so much code? Isn't the question just telling you to do fib # which keeps going? I created to take a int for how long you want it to go for.(Skipped over 0 as the first number, meh) ArrayList Fib = new ArrayList; public list Fibber (int n){ int k =0; while (k