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>

long long fibonacci( int n ) {
    switch ( n ) {
        case 0: return 1;
        case 1: return 1;
        default: return fibonacci( n - 2 ) + fibonacci( n - 1 );
    }
}
int main(void) {
    int n;
    scanf( "%d", &n );
    printf( "%d\n", fibonacci( n ) );
}