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>
#include <cmath>

using namespace std;
typedef long long ll;
//typedef unsigned long long ll;

#define rep(i, n) for (int i = 0; i < (n); ++i)
//#define rep(i, n) for (ll i = 0; i < (n); ++i)
//#define sz(x) ll(x.size())
//typedef pair<ll, int> P;
typedef pair<ll, ll> P;
//const double INF = 1e10;
const ll INF = LONG_LONG_MAX / 10;
//const ll INF = 1e15;
const ll MINF = LONG_LONG_MIN;
//const int INF = INT_MAX / 10;
#define cmin(x, y) x = min(x, y)
#define cmax(x, y) x = max(x, y)
//typedef pair<int, int> P;
//typedef pair<double, double> P;

bool contain(set<P> &s, P a) { return s.find(a) != s.end(); }

//ifstream myfile("C:\\Users\\riku\\Downloads\\0_00.txt");
//ofstream outfile("log.txt");
//outfile << setw(6) << setfill('0') << prefecture << setw(6) << setfill('0') << rank << endl;
// std::cout << std::bitset<8>(9);


void print_line(vector<ll> &line) {
    if (line.size() == 0ll) {
        cout << endl;
        return;
    }
    for (ll i = 0; i < line.size(); i++) {
        cout << line[i];
        if (i == line.size() - 1) cout << endl;
        else cout << ' ';
    }
}

// http://algoogle.hadrori.jp/algorithm/segment-tree.html
struct SegTreeMin {
    ll N, dat[4 * 1000];

    SegTreeMin() {}

    SegTreeMin(ll n) {
        N = 1;
        while (N < n) N *= 2;
        for (ll i = 0; i < 2 * N - 1; i++)
            dat[i] = INF;
    }

    // update k th element
    void update(ll k, ll a) {
        k += N - 1; // leaf
        dat[k] = a;
        while (k > 0) {
            k = (k - 1) / 2;
            dat[k] = min(dat[k * 2 + 1], dat[k * 2 + 2]);
        }
    }

    // min [a, b)
    ll query(ll a, ll b) { return query(a, b, 0, 0, N); }

    ll query(ll a, ll b, ll k, ll l, ll r) {
        if (r <= a or b <= l) return INF;
        if (a <= l and r <= b) return dat[k];
        ll m = (l + r) / 2;
        return min(query(a, b, k * 2 + 1, l, m), query(a, b, k * 2 + 2, m, r));
    }
};


struct SegTreeMax {
    ll N, dat[4 * 1000];

    SegTreeMax() {}

    SegTreeMax(ll n) {
        N = 1;
        while (N < n) N *= 2;
        for (ll i = 0; i < 2 * N - 1; i++)
            dat[i] = -INF;
    }

    // update k th element
    void update(ll k, ll a) {
        k += N - 1; // leaf
        dat[k] = a;
        while (k > 0) {
            k = (k - 1) / 2;
            dat[k] = max(dat[k * 2 + 1], dat[k * 2 + 2]);
        }
    }

    // max [a, b)
    ll query(ll a, ll b) { return query(a, b, 0, 0, N); }

    ll query(ll a, ll b, ll k, ll l, ll r) {
        if (r <= a or b <= l) return -INF;
        if (a <= l and r <= b) return dat[k];
        ll m = (l + r) / 2;
        return max(query(a, b, k * 2 + 1, l, m), query(a, b, k * 2 + 2, m, r));
    }
};

typedef priority_queue<long long, vector<long long>, greater<long long>> PQ_ASK;
const int mod = 1000000007;


int main() {
    int n;
    cin >> n;
    vector<ll> a(n);
    rep(i, n) cin >> a[i];

    int q;
    cin >> q;
    rep(i, q) {
        int b, e;
        cin >> b >> e;
        reverse(a.begin() + b, a.begin() + e);
    }

    print_line(a);

}