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 {
	final boolean DEBUG = false;
	final int MAX_N = 44;
	void run() {
		Scanner scan = new Scanner(System.in);
		int[] dp = new int[MAX_N + 1];
		dp[0] = dp[1] = 1;
		for (int i = 2; i <= MAX_N; i++)
			dp[i] = dp[i - 1] + dp[i - 2];
		int n = scan.nextInt();
		System.out.println(dp[n]);
	}
	public static void main(String[] args) {
		new Main().run();
	}
}