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 <bits/stdc++.h>

using ll=long long;
using namespace std;

#define rep_i(i, n) for (int i = 0; i < (n); ++i)
#define rep_ll(i, n) for (long long i = 0; i < (n); ++i)
#define r_rep_i(i, start, end) for (int i = (start); i < (end); ++i)
#define r_rep_ll(i, start, end) for (long long i = (start); i < (end); ++i)
#define debug_vi(v) copy((v).begin(), (v).end(), ostream_iterator<int>(cout, " "));
#define debug_vll(v) copy((v).begin(), (v).end(), ostream_iterator<long long>(cout, " "));
#define debug_vd(v) copy((v).begin(), (v).end(), ostream_iterator<double>(cout, " "));
#define sort_v(v) sort((v).begin(), (v).end()); //昇順
#define d_sort_vi(v) sort((v).begin(), (v).end(), greater<int>()); //降
#define d_sort_vll(v) sort((v).begin(), (v).end(), greater<long long>()); //降
#define d_sort_vd(v) sort((v).begin(), (v).end(), greater<double>()); //昇順
#define say(t) cout << (t) << endl;
#define sum_vi(v) accumulate((v).begin(), (v).end(), 0);
#define sum_vll(v)accumulate((v).begin(), (v).end(), 0LL);

ll gcd(ll a, ll b) { return b?gcd(b, a%b):a;}
ll lcm(ll a, ll b) { return a/gcd(a, b)*b;}

const int IINF=(1<<30);
const ll LLINF = 1LL<<60;

char BigAlphaToSmall(char a){
    if (a >= 65 && a <= 90){
        return a + 32;
    }
    return a;
}

char SmallAlphaToBig(char a){
    if (a >= 97 && a <= 122){
        return a - 32;
    }
    return a;
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    int n; cin >> n;
    vector<int> hoge(n);
    rep_i(i, n) cin >> hoge[i];
    
    int q; cin >> q;
    int b, e;
    rep_i(i, q){
        cin >> b >> e;
        reverse(&hoge[b], &hoge[e]);
    }
    
    rep_i(i, n){
        if(i == n - 1){
            cout << hoge[i] << endl;
            break;
        }
        cout << hoge[i] << " ";
    }
}