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: Time Limit Exceeded)

#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 iter = nil->next;
  while (iter != nil) {
    if (key == iter->key) {
      return iter;
    }
    iter = iter->next;
  }

  return NULL;
}

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) {
  NodePointer del = listSearch(t->key);
  if (del == NULL) {
    return;
  }
  NodePointer a_del, b_del;

  b_del = del->prev;
  a_del = del->next;
  if (a_del == nil) {
    b_del->next = nil;
  } else {
    b_del->next = a_del;
    a_del->prev = b_del;
  }
  free(del);
  return;
}

void deleteFirst() {
  NodePointer t = nil->next;
  NodePointer a_del = t->next;

  a_del->prev = nil;
  nil->next = a_del;
  free(t);
}

void deleteLast() {
  NodePointer t = nil->next, b_del;
  while (t->next != nil) {
    t = t->next;
  }

  b_del = t->prev;
  b_del->next = nil;
  free(t);
}

void delete(int key) {
  NodePointer t = listSearch(key);
  if (t == NULL) return;
  deleteNode(t);
}


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

  nil->next->prev = x;
  x->next = nil->next;
  nil->next = x;
  x->prev = nil;
}

int main(void) {
  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;
}