#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<double> vd;
typedef vector<string> vs;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vll> vvll;
typedef vector<vvll> vvvll;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<pll> vpll;
typedef vector<vpll> vvpll;
typedef vector<pdd> vpdd;
typedef vector<vd> vvd;
#define yn(ans) printf("%s\n", (ans)?"Yes":"No");
#define YN(ans) printf("%s\n", (ans)?"YES":"NO");
    template<class T> bool chmax(T &a, T b) {
	if (a >= b) return false;
	a = b; return true;
}
template<class T> bool chmin(T &a, T b) {
	if (a <= b) return false;
	a = b; return true;
}
#define FOR(i, s, e, t) for ((i) = (s); (i) < (e); (i) += (t)) 
#define REP(i, e) for (int i = 0; i < (e); ++i) 
#define REP1(i, s, e) for (int i = (s); i < (e); ++i)
#define RREP(i, e) for (int i = (e); i >= 0; --i)
#define RREP1(i, e, s) for (int i = (e); i >= (s); --i)
#define all(v) v.begin(), v.end()
#define pb push_back
#define qb pop_back
#define pf push_front
#define qf pop_front
#define maxe max_element
#define mine min_element
ll inf = 1e18;
#define DEBUG printf("%d\n", __LINE__); fflush(stdout);
template<class T> void print(vector<T> &v, bool withSize = false) {
	if (withSize) cout << v.size() << endl;
	REP(i, v.size()) cout << v[i] << " "; 
	cout << endl;
}
mt19937_64 rng((unsigned int) chrono::steady_clock::now().time_since_epoch().count());

int __FAST_IO__ = []() {
	std::ios::sync_with_stdio(0);
	std::cin.tie(0);
	std::cout.tie(0);
	return 0;
}();

#define TESTS int t; cin >> t; while (t--)
#define TEST 
int main() {
    int N, M;
    cin >> N;
    vpii A(N);
    REP(i, N) cin >> A[i].first >> A[i].second;
    cin >> M;
    vpii B(M);
    REP(i, M) cin >> B[i].first >> B[i].second;
    
    int mx = 1000;
    vvi mxpxpy(mx, vi(mx, -1e9));
    vvi mxpxny(mx, vi(mx, -1e9));
    vvi mnpxpy(mx, vi(mx, 1e9));
    vvi mnpxny(mx, vi(mx, 1e9));
    
    REP(i, N) {
        int x = A[i].first, y = A[i].second;
        mxpxpy[x][y] = mnpxpy[x][y] = x + y;
        mxpxny[x][y] = mnpxny[x][y] = x - y;
    }
    
    REP(i, mx) {
        REP(j, mx) {
            if (i > 0) chmax(mxpxpy[i][j], mxpxpy[i - 1][j]);
            if (j > 0) chmax(mxpxpy[i][j], mxpxpy[i][j - 1]);
        }
    }
    
    RREP(i, mx - 1) {
        REP(j, mx - 1) {
            if (i < mx - 1) chmin(mxpxpy[i][j], mnpxpy[i + 1][j]);
            if (j < mx - 1) chmin(mxpxpy[i][j], mnpxpy[i][j + 1]);
        }
    }
    
    RREP(i, mx - 1) {
        REP(j, mx) {
            if (i < mx - 1) chmin(mnpxny[i][j], mnpxny[i + 1][j]);
            if (j > 0) chmin(mnpxny[i][j], mnpxny[i][j - 1]);
        }
    }
    
    REP(i, mx) {
        RREP(j, mx - 1) {
            if (i > 0) chmax(mxpxny[i][j], mxpxny[i - 1][j]);
            if (j < mx - 1) chmax(mxpxny[i][j], mxpxny[i][j + 1]);
        }
    }
    
    int ans = 1e9;
    REP(i, M) {
        int x = B[i].first, y = B[i].second;
        chmin(ans, x + y - mxpxpy[x][y]);
        chmin(ans, mnpxpy[x][y] - (x + y));
        chmin(ans, x - y - mxpxny[x][y]);
        chmin(ans, mnpxny[x][y] - (x - y));
    }
    printf("%d\n", ans);
    return 0;
}