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: Memory Limit Exceeded)

#include <stdio.h>
#define N 50000000
void fib();
int n,f[N];
int main(){
  
  int i;

  scanf("%d",&n);

  fib();

  printf("%d\n",f[n]);

  return 0;
}

void fib()
{
  int i;
  
  f[0] = 1;
  f[1] = 1;
  for(i=2; i<N; i++){
    f[i] = f[i-2]+f[i-1];
  }
}