Saturday, June 27, 2015

Fibonacci

Find the Nth number in Fibonacci sequence.
A Fibonacci sequence is defined as follow:
  • The first two numbers are 0 and 1.
  • The i th number is the sum of i-1 th number and i-2 th number.
The first ten numbers in Fibonacci sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ...
Have you met this question in a real interview? 
Yes
Example
Given 1, return 0
Given 2, return 1
Given 10, return 34

Note
The Nth fibonacci number won't exceed the max value of signed 32-bit integer in the test cases.

class Solution {
    /**
     * @param n: an integer
     * @return an integer f(n)
     */
    public int fibonacci(int n) {
        // write your code here
        if(n <= 2) return n - 1;
        int pre = 0, cur = 1;
        for(int i = 3; i <= n; i++){
            int temp = cur;
            if(Integer.MAX_VALUE - pre < cur) return Integer.MAX_VALUE;
            cur = pre +cur;
            pre = temp;
        }
        return cur;
    }
}

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