// Part 1 about the 3n+1 conjecture
//==================================
package CW6a 


object CW6a {

def collatz(n: Long): Long =
  if (n == 1) 1 else
    if (n % 2 == 0) 1 + collatz(n / 2) else 
      1 + collatz(3 * n + 1)


def collatz_max(bnd: Long): (Long, Long) = {
  val all = for (i <- (1 to bnd.toInt).toList) yield collatz(i)
  val max = all.max
  (max, all.indexOf(max) + 1)
}


}


def Collat(n: Long, r: Int = 1) : Int = 
  if (n == 1) r else
   if (n % 2 == 0) Collat(n / 2 , r + 1) else
     Collat (3 * n + 1 , r + 1)

(1 to 10).map(collatz(_))