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.*;
// import java.io.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        StringBuilder sb = new StringBuilder();

        int num = sc.nextInt();

        ArrayList<Integer> array = new ArrayList<>();
        for (int i = 0; i < num; i++) {
            int tmp = sc.nextInt();
            array.add(tmp);
        }

        int num_query = sc.nextInt();

        for (int i = 0; i < num_query; i++) {
            int l = sc.nextInt();
            int r = sc.nextInt();

            List<Integer> sub = array.subList(l, r);
            Collections.reverse(sub);

            for (int j = l; j < r; j++) {
                array.set(j, sub.get(j - l));
            }
        }

        for (int i = 0; i < array.size(); i++) {
            sb.append(array.get(i));
            if (i != array.size() - 1) sb.append(' ');
        }

        System.out.println(sb);
        
        sc.close();
    }
}