Problem:
MathJax.Hub.Config({ tex2jax: { inlineMath: [["$","$"], ["\\(","\\)"]], processEscapes: true }});

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 JavaScript (judge verdict: Accepted)

(function main() {
  const n = Number(require('fs').readFileSync('/dev/stdin', 'utf8'));

  const cache = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144];
  const fib = function fib(n) {
    return cache[n] || (cache[n] = fib(n - 1) + fib(n - 2));
  };
  console.log(fib(n));
})();