Problem: Find the union of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$.

Constraints

* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$

Input

The input is given in the following format.


$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$


Elements of $A$ and $B$ are given in ascending order respectively. There are no duplicate elements in each set.

Output

Print elements in the union in ascending order. Print an element in a line.

Example

Input

3
1 5 8
2
5 9


Output

1
5
8
9

Solution (in CPP):

Solution:
#include <bits/stdc++.h>

#define INF (2e9)
#define FOR(i, a, b) for (ll (i) = (a); (i) < (b); ++(i))
#define REP(i, n) FOR(i, 0, n)

using namespace std;

template<class T>
bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

using ll = long long;
using ld = long double;

#define ALL(x) (x).begin(), (x).end()
template<class T>
using vc = vector<T>;
using vi = vc<ll>;
using vvi = vc<vi>;

template<class T>
using va = valarray<T>;
using vad = va<ld>;
using vai = va<ll>;

using pii = pair<ll, ll>;

vi Read(ll n) {
    auto      v = vi(n);
    for (auto i = std::size_t(0); i < n; ++i) {
        cin >> v[i];
    }
    return v;
}

template<class T>
void DumpRow(const T& A) {
    for (const auto& value : A)
        cout << value << "\n";
}

template<class T>
void DumpColumn(const T& A) {
    auto isFirst = true;
    for (const auto& value : A) {
        if (isFirst) {
            cout << value;
            isFirst = false;
        } else {
            cout << " " << value;
        }

    }
    cout << endl;
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    ll n;
    cin >> n;
    const auto a = Read(n);
    ll m;
    cin >> m;
    const auto b = Read(m);

    auto ans = vi();
    set_union(ALL(a), ALL(b), inserter(ans, ans.end()));

    DumpRow(ans);

    return 0;
}