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;

public class Main {
	public static void main(String[] args) {
		int N[] = new int[50];
		int a = 0;
		int b = 0;
		int c = 0;
		N[0] = 1;
		N[1] = 1;

		Scanner scanner = new Scanner(System.in);
		int n = scanner.nextInt();

		for (int j = 2; j <= 44; j++) {
			b = N[j - 1];
			c = N[j - 2];
			a = b + c;
			N[j] = a;
		}
		System.out.println(N[n]);
	}
}