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 C (judge verdict: Time Limit Exceeded)

#include<stdio.h>
int n;

int fibonacci(int n){
  int F[45] = {0};
  //printf("F[%d] = %d\n", n, F[n]);
  if(n == 0 || n == 1)         return F[n] = 1;
  if(F[n] > 1)   return F[n];
  return F[n] = fibonacci(n - 2) + fibonacci(n - 1);
}

int main(){

  scanf("%d", &n);
  printf("%d\n", fibonacci(n));
  
  return 0;
}