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){
    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;
    if((x = listSearch(key)) != NULL) {
        if(x == nil) return;
        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);          // 命令数
  init();                   // 初期化
  for ( i = 0; i < n; i++ ){        // コマンド,キー
    scanf("%s%d", com, &key);
    if ( com[0] == 'i' ) {insert(key); np++; size++;}   // insert 
    else if ( com[0] == 'd' ) {     // which delete
      if (strlen(com) > 6){         // 6文字以上
	if ( com[6] == 'F' ) deleteFirst();     // first
	else if ( com[6] == 'L' ) deleteLast();     // last
      } else {
	delete(key); nd++;          // delete
      }
      size--;
    }
  }

  printList();
  return 0;
}