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: Accepted)

arr = Array.new(45,0)
def fib(n,arr)
  if(arr[n]>0)
    ret=arr[n]
  elsif(n < 2)
    ret=1
  else
    ret=fib(n-2,arr)+fib(n-1,arr)
  end
  arr[n]=ret
end

n = STDIN.gets.split[0].to_i
puts fib(n,arr)