Problem:
Doubly Linked List

Your task is to implement a double linked list.

Write a program which performs the following operations:

insert x: insert an element with key x into the front of the list.

delete x: delete the first element which has the key of x from the list. If there is not such element, you need not do anything.

deleteFirst: delete the first element from the list.

deleteLast: delete the last element from the list.

Input

The input is given in the following format:

n

command1

command2

...

commandn

In the first line, the number of operations n is given. In the following n lines, the above mentioned operations are given in the following format:

insert x

delete x

deleteFirst

deleteLast

Output

Print all the element (key) in the list after the given operations. Two consequtive keys should be separated by a single space.

Constraints

The number of operations ≤ 2,000,000

The number of delete operations ≤ 20

0 ≤ value of a key ≤ 109

The number of elements in the list does not exceed 106

For a delete, deleteFirst or deleteLast operation, there is at least one element in the list.

Sample Input 1

7
insert 5
insert 2
insert 3
insert 1
delete 3
insert 6
delete 5

Sample Output 1

6 1 2

Sample Input 2

9
insert 5
insert 2
insert 3
insert 1
delete 3
insert 6
delete 5
deleteFirst
deleteLast

Sample Output 2

1

Solution in Scala (judge verdict: Wrong Answer)

object Main extends App {

  case class State[S, A](run: S => (S, A)) {
    def map[B](f: A => B) = State((s: S) => {
      val (s1, a) = run(s)
      (s1, f(a))
    })

    def flatMap[B](f: A => State[S, B]) = State((s: S) => {
      val (s1, a) = run(s)
      f(a).run(s1)
    })
  }

  object State {
    def unit[S, A](a: A): State[S, A] = State(s => (s, a))
  }

  implicit class ListOps[S, A](stlist: List[State[S, A]]) {
    def sequence: State[S, List[A]] =
      stlist.foldRight(State.unit[S, List[A]](List[A]()))((h: State[S, A], acc: State[S, List[A]]) => h.flatMap(a => acc.map(list => a :: list)))
  }


  def exec(a: Array[String]): State[Seq[Int], Unit] = State((s: Seq[Int]) => a match {
    case Array("deleteFirst") => (s.tail, ())
    case Array("deleteLast")  => (s.init, ())
    case Array("delete", x)   => (deleteX(s, x.toInt), ())
    case Array("insert", x)   => (x.toInt +: s, ())
  })

  def deleteX(s: Seq[Int], x: Int): Seq[Int] = {
    val index = s.indexOf(x.toInt)
    val (s1, s2) = s.splitAt(index)
    s1 ++ s2.tail
  }
  
  val n   = readInt
  val ans = (1 to n)
    .map(_ => readLine.split(" "))
    .map(exec)
    .toList
    .sequence
    .run(Nil)
    ._1
    .mkString(" ")
  println(ans)
}