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 x;
  x = nil->next;
  while(x != nil && x->key != key){
    x = x->next;
  }
  return x;
}

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;
}

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

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

void delete(int key){
  NodePointer x;
  x = listSearch(key);
  deleteNode(x);
}

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;
}