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 C (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

struct node{
	unsigned int key;
	struct node *next;
	struct node *prev;
};

typedef struct node * NodePointer;

NodePointer nil;

NodePointer listSearch(int key){
	NodePointer  cur=nil->next;
	while(cur!=nil && cur->key!=key){
		cur=cur->next;
	}
	return cur;
}

void init(){
	nil = malloc(sizeof(struct node));
	nil->next = nil;
	nil->prev = nil;
}

void printList(){
	NodePointer cur = nil->next;
	int isf = 1;
	while(1){
		if ( cur == nil ){
			break;
		}
		if ( isf == 0){
			printf(" ");
		}
		printf("%d", cur->key);
		cur = cur->next;
		isf = 0;
	}
  	printf("\n");
}

void deleteNode(NodePointer t){
	if(t==nil){
		return;
	}
	t->prev->next=t->next;
	t->next->prev=t->prev;
	free(t);
}

void deleteFirst(){
	NodePointer t = nil->next;
	if ( t == nil ) {
		return;
	}
	deleteNode(t);
}

void deleteLast(){
	deleteNode(nil->prev);
}

void delete(int key){
	deleteNode(listSearch(key));
}


void insert(int key){
	NodePointer x;
	x = malloc(sizeof(struct node));
	x->key = key;
	x->next=nil->next;
	nil->next->prev=x;
	nil->next=x;
	x->prev=nil;
}

int main(){
	int key, n, i;
	int size = 0;
	char com[20];
	int np = 0, nd = 0;
	scanf("%d", &n);
	init();
	for ( i = 0; i < n; i++ ){
		scanf("%s%d", com, &key);
		if ( com[0] == 'i' ) {
			insert(key); np++; size++;
		}
		else if ( com[0] == 'd' ) {
			if (strlen(com) > 6){
				if ( com[6] == 'F' ){
					deleteFirst();
				}
				else if ( com[6] == 'L' ){
					deleteLast();
				}
			} 
			else {
				delete(key); nd++; 
			}
		size--;
		}
	}
	printList();
	return 0;
}