Problem: For a dynamic list $L$ of integers, perform a sequence of the following operations. $L$ has a special element called END at the end of the list and an element of $L$ is indicated by a cursor.

* insert($x$): Insert $x$ before the element indicated by the cursor. After this operation, the cursor points the inserted element.
* move($d$): Move the cursor to the end by $d$, if $d$ is positive. Move the cursor to the front by $d$, if $d$ is negative.
* erase(): Delete the element indicated by the cursor. After this operation, the cursor points the element next to the deleted element. In case there is no such element, the cursor should point END.



In the initial state, $L$ is empty and the cursor points END.

Constraints

* $1 \leq q \leq 500,000$
* The cursor indicates an element of $L$ or END during the operations
* Erase operation will not given when the cursor points END
* $-1,000,000,000 \leq x \leq 1,000,000,000$
* Moving distance of the cursor ($\sum{|d|}$) does not exceed 1,000,000
* $L$ is not empty after performing all operations

Input

The input is given in the following format.


$q$
$query_1$
$query_2$
:
$query_q$


Each query $query_i$ is given by


0 $x$


or


1 $d$


or


2


where the first digits 0, 1 and 2 represent insert, move and erase operations respectively.

Output

Print all elements of the list in order after performing given operations. Print an element in a line.

Example

Input

5
0 1
0 2
0 3
1 1
2


Output

3
1

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

  public static void main(String[] args) throws IOException {
    
    try(BufferedReader br = new BufferedReader(new InputStreamReader(System.in))) {

      int q = Integer.parseInt(br.readLine());
      String[] query;
      MyList list = new MyList();

      for(int i=0; i<q; i++) {
        query = br.readLine().split(" ");
        switch( query[0] ) {
          case "0" :
            list.insert( Integer.parseInt(query[1]) );
            break;
          case "1" :
            list.move( Integer.parseInt(query[1]) );
            break;
          case "2" :
            list.erase();
            break;
          default :
            System.out.println("n:" + i + " is failed.");
        }
      }

      System.out.println ( list.getAllElements() );
    }
  }
}

class Node {
  Node next,prev;
  int key;

  public Node(int key) {
    this.key = key;
  }
}

class MyList {
  Node nil;
  Node current;
  int size;

  public MyList() {
    nil = new Node(0);
    nil.next = nil.prev = nil;
    size = 0;
    
  }

  public String getAllElements() {
    StringBuilder buf = new StringBuilder(size*5);

    if(size > 0){
      current = nil.next;
      for(int i=0; i<size; i++){
        buf.append(current.key).append("\n");
        current = current.next;
      }
    }
    buf.setLength(buf.length()-1);

    return buf.toString();
  }
  public void insert(int x) {
    if(size == 0) {
      current = new Node(x);
      nil.next = current;
      nil.prev = current;
      current.prev = nil;
      current.next = nil;
      size++;
    }
    else {
      Node add = new Node(x);
      
      current.prev.next = add;
      add.prev = current.prev;

      add.next = current;
      current.prev = add;

      current = add;
      size++;
    }
  }
  public void move(int d){
    if( d > 0 ) {
      for(int i=0; i<d; i++)
        current = current.next;
    } else if( d < 0 ) {
      for(int i=0; i>d; i--)
        current = current.prev;
    }
  }
  public void erase() {
      current.prev.next = current.next;
      current.next.prev = current.prev;
      current = current.next;
      size--;
  }
}