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 Ruby (judge verdict: Time Limit Exceeded)

def fib(n, memo=[])
  memo[n] if memo[n]

  if n <= 1
    memo[n] = 1
  else
    memo[n] = fib(n - 1, memo) + fib(n - 2, memo)
  end

  memo[n]
end

if $PROGRAM_NAME == __FILE__
  puts fib(gets.to_i)
end