Problem: Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:

* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$

Constraints

* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$

Input

The input is given in the following format.


$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$


In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.

Output

Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.

Example

Input

8
1 2 3 4 5 6 7 8
2
1 6
3 8


Output

1 6 5 8 7 2 3 4

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Main {
    public static void main(String args[]){
        Scanner stdIn = new Scanner(System.in);
        int n = stdIn.nextInt();
        
        //int x = stdIn.nextInt();
        int a[] = new int[n];
        //String s = stdIn.next();
        //String t = stdIn.next();
        //char c[] = s.toCharArray();
        //int sum = 0;
        //boolean flag = true;
        for(int i = 0; i < n; i++){
            a[i] = stdIn.nextInt();
        }
        
        
        int q = stdIn.nextInt();

        for(int i = 0; i < q; i++){
            int b = stdIn.nextInt();
            int e = stdIn.nextInt() - 1;
            
            for(int j = 0; j < (e - b + 1) / 2 ; j++){
                int tmp = a[b + j];
                a[b + j] = a[e - j];
                a[e - j] = tmp;
            }
            
        }
        
        for(int i = 0; i < n - 1; i++){
            System.out.print(a[i] + " ");
        }
        System.out.println(a[n - 1]);

        //System.out.println();
        //System.out.print();

        stdIn.close();
    }
}