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 JavaScript (judge verdict: Wrong Answer)

const line = require('fs').readFileSync('/dev/stdin', 'utf-8').split('\n');

const fib = n => {
    const memo = [];
    const helper = x => {
        if (x <= 1) return 1;
        if (memo[x] !== undefined) return memo[x];
        memo[x] = helper(x-1) + helper(x-2);
        return memo[x];
    }

    return helper(n);
};

console.log(fib(44));