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 Scala (judge verdict: Accepted)

import scala.io.StdIn.readInt
import scala.annotation.tailrec

object Main {
  @tailrec def fib(a:Int, b:Int, c:Int, n:Int):Int = {
    n match {
      case 0 => a
      case n => fib(a+b, a, b, n-1)
    }
  }

  def main(args: Array[String]) = {
    val n = readInt()
    println(fib(1, 0, 0, n))
  }
}