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 *n;
  struct node *p;
};

typedef struct node * NodePointer;

NodePointer nil;

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

void init(){
  nil=malloc(sizeof(struct node));
  nil->n=nil;
  nil->p=nil;
}

void printList(){
  int a=1;
  NodePointer c=nil->n;

  while(1){
    if(c==nil)break;
    if(a==0)printf(" ");
    printf("%d",c->key);
    c=c->n;
    a=0;
  }
  printf("\n");
}

void deleteNode(NodePointer t){
  t->p->n=t->n;
  t->n->p=t->p;
  free(t);
}

void deleteFirst(){
  if(nil->n==nil)return;
  deleteNode(nil->n);
}

void deleteLast(){
  if(nil->n==nil)return;
  deleteNode(nil->p);
}

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


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

int main(){
  int key,n,i;
  int size=0;
  char com[20];
  int np=0;
  int 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;
}