For a dynamic array $A = \\{a_0, a_1, ...\\}$ of integers, perform a sequence of the following operations:

* push($d$, $x$): Add element $x$ at the begining of $A$, if $d = 0$. Add element $x$ at the end of $A$, if $d = 1$.
* randomAccess($p$): Print element $a_p$.
* pop($d$): Delete the first element of $A$, if $d = 0$. Delete the last element of $A$, if $d = 1$.



$A$ is a 0-origin array and it is empty in the initial state.

Constraints

* $1 \leq q \leq 400,000$
* $0 \leq p < $ the size of $A$
* $-1,000,000,000 \leq x \leq 1,000,000,000$

Input

The input is given in the following format.


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


Each query $query_i$ is given by


0 $d$ $x$


or


1 $p$


or


2 $d$


where the first digits 0, 1 and 2 represent push, randomAccess and pop operations respectively.

randomAccess and pop operations will not be given for an empty array.

Output

For each randomAccess, print $a_p$ in a line.

Example

Input

11
0 0 1
0 0 2
0 1 3
1 0
1 1
1 2
2 0
2 1
0 0 4
1 0
1 1


Output

2
1
3
4
1
import java.util.Scanner;
import java.util.ArrayDeque;
import java.util.Deque;
 
class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        int q = scan.nextInt();
        int i = 0;
        int d = 0;
        int limit = 400000;
        MyDeque A = new MyDeque(limit);
        while (i < q) {
            i++;
 
            int Cmd = scan.nextInt();
            switch (Cmd) {
            case 0:
                d = scan.nextInt();
                int x = scan.nextInt();
                push(A, d, x);
                break;
            case 1:
                int p = scan.nextInt();
                randomAccess(A, p);
                break;
            case 2:
                d = scan.nextInt();
                pop(A, d);
                break;
            default:
                break;
            }
        }
    }
 
    private static void push(MyDeque A, int d, int x) {
        if (d == 0) {
            A.addFirst(x);
        } else if (d == 1) {
            A.addLast(x);
        }
    }
    private static void randomAccess(MyDeque A, int p) {
        System.out.println(A.get(p));
    }
    private static void pop(MyDeque A, int d) {
        if (d == 0) {
            A.removeFirst();
        } else if (d == 1) {
            A.removeLast();
        }
    }
}
 
class MyDeque {
    private int size;
    private int first;
    private int last;
    private int data[];
    MyDeque(int limit) {
        data = new int [limit * 2 + 1];
        first = limit;
        last = limit - 1;
        size = 0;
    }
    void addFirst(int x) {
        data[--first] = x;
    }
    void addLast(int x) {
        data[++last] = x;
    }
    int get(int p) {
        return data[first + p];
    }
    void removeFirst() {
        first++;
    }
    void removeLast() {
        last--;
    }
}
