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 Ruby (judge verdict: Accepted)

class Node
	attr_accessor :prev, :next, :value
	def initialize value
		@value = value
	end
end

class DoubllyLinkedList
	def initialize
		@nil_node = Node.new nil
		@nil_node.next = @nil_node.prev = @nil_node
	end

	def insert value
		node = Node.new value
		node.next = @nil_node.next
		node.prev = @nil_node
		@nil_node.next.prev = node
		@nil_node.next = node
	end

	def search value
		node = @nil_node.next
		node = node.next until node == @nil_node || node.value == value
		node
	end

	def deleteNode node
		return if node == @nil_node
		node.prev.next = node.next
		node.next.prev = node.prev
	end

	def delete value
		deleteNode search value
	end

	def deleteFirst dummy
		deleteNode @nil_node.next
	end

	def deleteLast dummy
		deleteNode @nil_node.prev
	end

	def values
		arr = []
		node = @nil_node.next
		until node == @nil_node
			arr << node.value
			node = node.next
		end
		arr
	end
end

dll = DoubllyLinkedList.new
n = gets.to_i
n.times{
	line = gets.chomp.split
	dll.send line[0], line[1]
}
puts dll.values.join(" ")