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 JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.FileReader;
import java.io.InputStreamReader;

class Elem {
	Elem next;
	Elem prev;
	int key;
	
	Elem(int key) {
		this.key = key;
	}
}

class DoubleyLinkedList {
	Elem head;
	
	DoubleyLinkedList() {
		head = new Elem(-1);
		head.next = head;
		head.prev = head;
	}
	
	void insert(int key) {
		Elem e = new Elem(key);
		e.next = head.next;
		e.prev = head;
		e.next.prev = e;
		head.next = e;
	}
	
	void delete(int key) {
		for (Elem e = head.next; e != head; e = e.next) {
			if (e.key == key) {
				e.prev.next = e.next;
				e.next.prev = e.prev;
			}
		}
	}
	
	void deleteFirst() {
		Elem e = head.next;
		e.next.prev = head;
		head.next = e.next;
	}
	
	void deleteLast() {
		Elem e = head.prev;
		e.prev.next = head;
		head.prev = e.prev;
	}
	
	public String toString() {
		StringBuilder sb = new StringBuilder();
		for (Elem e = head.next; e != head; e = e.next) {
			sb.append(e.key);
			sb.append(' ');
		}
		sb.deleteCharAt(sb.length() - 1);
		sb.append('\n');
		return sb.toString();
	}
}

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		// BufferedReader br = new BufferedReader(new FileReader("in1.txt"));
		// BufferedReader br = new BufferedReader(new FileReader("in2.txt"));
		int n = Integer.parseInt(br.readLine());

		DoubleyLinkedList list = new DoubleyLinkedList();
		for (int i = 0; i < n; i++) {
			String[] line = br.readLine().split(" ");
			if (line[0].equals("insert")) {
				list.insert(Integer.parseInt(line[1]));
			} else if (line[0].equals("delete")) {
				list.delete(Integer.parseInt(line[1]));
			} else if (line[0].equals("deleteFirst")) {
				list.deleteFirst();
			} else if (line[0].equals("deleteLast")) {
				list.deleteLast();
			}
		}
		System.out.print(list.toString());
	}
}