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 namespace std;
struct Fast {
    Fast() {
        cin.tie(0);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(20);
    }
} fast;

long long mod = 998244353;
#define REP(i, n) for (long long i = 0; i < (n); i++)

long long modpow(long long m, long long n) {
    if (n == 0) return 1;
    if (n % 2 == 0) {
        long long t = modpow(m, n / 2);
        return t * t;
    } else {
        return modpow(m, n - 1) * m;
    }
}

long long moddiv(long long a, long long b) { return (a * modpow(b, mod - 2)) % mod; }

long long nCkmod(long long n, long long k) {
    long long denomi = 1;
    REP(i, n) {
        denomi *= (i + 1);
        denomi %= mod;
    }
    long long numera = 1;
    for (int i = n - k; i > 0; i--) {
        numera *= i;
        numera %= mod;
    }
    REP(i, k) {
        numera *= (i + 1);
        numera %= mod;
    }
    return moddiv(denomi, numera);
}

void print_binary(long long a) {
    for (int i = 31; i >= 0; i--) {
        cout << (a >> i & 1);
    }
    cout << endl;
}

void yes() {
    cout << "Yes" << endl;
    exit(0);
}
void no() {
    cout << "No" << endl;
    exit(0);
}
array<int, 101> factoring(int x) {
    array<int, 101> ret{};
    for (int i = 2; x >= i * i; i++) {
        while (x % i == 0) {
            ret[i]++;
            x /= i;
        }
    }
    if (x > 1) ret[x]++;
    return ret;
}

signed main() {
    int n;
    cin >> n;
    vector<int> as(n);
    REP(i, n) { cin >> as[i]; }
    int q;
    cin >> q;
    for (int i = 0; i < q; i++) {
        int b, e;
        cin >> b >> e;
        reverse(as.begin() + b, as.begin() + e);
    }
    int k = 0;
    for (int x : as) {
        k++;
        cout << x;
        if (k != n) {
            cout << " ";
        }
    }
    cout << endl;
}