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 CPP):

Solution:
#include <iostream>
#include <algorithm>
#include <set>
#include <vector>
#include <math.h>
using namespace std;
typedef long long ll;

int main() {
    int n, q, c, b, e;
    cin >> n;
  	int a[n];
  	for (int i = 0; i < n; i++) cin >> a[i];
  	cin >> q;
  	for (int i = 0; i < q; i++)
  	{
        cin >> b >> e;
  	    reverse(a+b,a+e);
  	}
  	for (int i = 0; i < n; i++) 
  	{
  	    cout << a[i];
  	    if (i == n-1) cout << endl;
  	    else cout << " ";
  	}
	return 0;
}