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;

class Main{
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		int n = sc.nextInt();
		
		int[] List = new int[n];
		
		for(int i=0;i<n;i++)
			List[i] = sc.nextInt();
		
		int q = sc.nextInt();
		
		for(int i=0;i<q;i++) {
			
			int b = sc.nextInt();
			int e = sc.nextInt();
			
			for(int j=0;j<(e-b)/2;j++) {
				int tmp = List[b + j];
				List[b + j] = List[e - j-1];
				List[e - j-1] = tmp;
			}
		}
		
		for(int i=0;i<List.length;i++) {
			System.out.print(List[i]);
			if(i != List.length - 1)
				System.out.print(" ");
			else
				System.out.println();
		}
	}
}