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: Accepted)

import java.util.Scanner;

 class Main {
	static Integer[] F = new Integer[44];

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		System.out.println(fibonacci(scanner.nextInt()));
	}
	
	static int fibonacci(int n) {
		int a[]=new int[n+1];
	    a[0]=1;
	    a[1]=1;
	    if(n<2){
	        return a[n];
	    }
	    for(int i=2;i<=n;i++){
	        a[i]=a[i-1]+a[i-2];
	    }
	            return a[n];
	    }
}