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package test;

/** A trait for totally ordered data.
 */
trait Ordered[+a] {

  /** Result of comparing `this' with operand `that'.
   *  returns `x' where
   *  x < 0    iff    this < that
   *  x == 0   iff    this == that
   *  x > 0    iff    this > that
   */
  def compareTo [b >: a <% Ordered[b]](that: b): int;

  def <  [b >: a <% Ordered[b]](that: b): boolean = (this compareTo that) <  0;

  def >  [b >: a <% Ordered[b]](that: b): boolean = (this compareTo that) >  0;

  def <= [b >: a <% Ordered[b]](that: b): boolean = (this compareTo that) <= 0;

  def >= [b >: a <% Ordered[b]](that: b): boolean = (this compareTo that) >= 0;
}


object O {

  implicit def view1(x: String): Ordered[String] = new Ordered[String] {
    def compareTo [b >: String <% Ordered[b]](y: b): int = y match {
      case y1: String => x compareTo y1;
      case _ => -(y compareTo x)
    }
  }
  implicit def view2(x: char): Ordered[char] = new Ordered[char] {
    def compareTo [b >: char <% Ordered[b]](y: b): int = y match {
      case y1: char => x - y1;
      case _ => -(y compareTo x)
    }
  }

  implicit def view3[a <% Ordered[a]](x: List[a]): Ordered[List[a]] =
    new Ordered[List[a]] {
      def compareTo [b >: List[a] <% Ordered[b]](y: b): int = y match {
	case y1: List[a] => compareLists(x, y1);
	case _ => -(y compareTo x)
      }
      private def compareLists(xs: List[a], ys: List[a]): int = {
	if (xs.isEmpty && ys.isEmpty) 0
	else if (xs.isEmpty) -1
	else if (ys.isEmpty) 1
	else {
	  val s = xs.head compareTo ys.head;
	  if (s != 0) s
	  else compareLists(xs.tail, ys.tail)
	}
      }
    }

  implicit def view4[a](x: a): a = x;
}

trait Tree[+a <% Ordered[a]] {
  def insert[b >: a <% Ordered[b]](x: b): Tree[b];
  def elements: List[a]
}

object Empty extends Tree[All] {
  def insert[b >: All <% Ordered[b]](x: b): Tree[b] = new Node(x, Empty, Empty);
  def elements: List[All] = List();
}

class Node[a <% Ordered[a]](elem: a, l: Tree[a], r: Tree[a]) extends Tree[a] {
  def insert[b >: a <% Ordered[b]](x: b): Tree[b] =
    if (x == elem) this
    else if (x < elem) new Node(elem, l insert x, r)
    else new Node(elem, l, r insert x);
  def elements: List[a] =
    l.elements ::: List(elem) ::: r.elements
}

case class Str(elem: String) extends Ordered[Str] {
  def compareTo[b >: Str <% Ordered[b]](that: b): int = that match {
    case that1: Str => this.elem compareTo that1.elem
    case _ => -(that compareTo this)
  }
}

object Test {
  import O._;

  private def toCharList(s: String): List[Char] =
    if (s.length() == 0) List()
    else s.charAt(0) :: toCharList(s.substring(1));

  def main(args: Array[String]) = {
    {
      var t: Tree[String] = Empty;
      for (val s <- args) {
	t = t insert s
      }
      System.out.println(t.elements)
    }
    {
      var t: Tree[Str] = Empty;
      for (val s <- args) {
	t = t insert Str(s)
      }
      System.out.println(t.elements)
    }
    {
      var t: Tree[List[char]] = Empty;
      for (val s <- args) {
	t = t insert toCharList(s)
      }
      System.out.println(t.elements)
    }
  }
}