Problem:
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Fibonacci Number

Write a program which prints $n$-th fibonacci number for a given integer $n$. The $n$-th fibonacci number is defined by the following recursive formula:

\begin{equation*}
fib(n)= \left \{
\begin{array}{ll}
1　 & (n = 0) \\
1　 & (n = 1) \\
fib(n - 1) + fib(n - 2) & \\
\end{array}
\right.
\end{equation*}

Input

An integer $n$ is given.

output

Print the $n$-th fibonacci number in a line.

Constraints

$0 \leq n \leq 44$

Sample Input 1

3

Sample Output 1

3

Solution in JAVA (judge verdict: Time Limit Exceeded)


import java.util.Scanner;

public class Main {

    private static int n;

    public static void main(String[] args){
        Scanner scanner = new Scanner(System.in);

        n = scanner.nextInt();

        System.out.println(fibonacchi(n));
    }

    private static int fibonacchi(int n) {
        if (n <= 1)
            return 1;

        return fibonacchi(n-1) + fibonacchi(n-2);
    }
}