#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 10, M = 4e3 + 10, W = 2e3;

int n, x[N], y[N], m, z[N], w[N], tr[M][M];

int lowbit(int x) {
    return x & (-x);
}

void add(int x, int y) {
    for (int i = x; i < M; i += lowbit(i)) {
        for (int j = y; j < M; j += lowbit(j)) {
            tr[i][j]++;
        }
    }
}

int query(int x, int y) {
    int ret = 0;
    for (int i = x; i > 0; i -= lowbit(i)) {
        for (int j = y; j > 0; j -= lowbit(j)) {
            ret += tr[i][j];
        }
    }
    return ret;
}

int getans(int x1, int y1, int x2, int y2) {
    x1 = max(x1, 0), x2 = min(x2, M - 1);
    y1 = max(y1, 0), y2 = min(y2, M - 1);
    return query(x2, y2) - query(x1 - 1, y2) - query(x2, y1 - 1) + query(x1 - 1, y1 - 1);
}

bool Check(int d) {
    for (int i = 0; i < M; i++) {
        fill(tr[i], tr[i] + M, 0);
    }
    for (int i = 1; i <= n; i++) add(x[i], y[i]);//, cout << x[i] << ' ' << y[i] << '\n';
    for (int i = 1; i <= m; i++) {
        int k = getans(z[i] - d, w[i] - d, z[i] + d, w[i] + d);
        //cout << z[i] - d << ' ' << w[i] - d << ' ' << z[i] + d << ' ' << w[i] + d << '\n';
        if (k) return 0;
    }
    for (int i = 0; i < M; i++) {
        fill(tr[i], tr[i] + M, 0);
    }
    for (int i = 1; i <= m; i++) add(z[i], w[i]);
    for (int i = 1; i <= n; i++) {
        int k = getans(x[i] - d, y[i] - d, x[i] + d, y[i] + d);
        if (k) return 0;
    }
    return 1;
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    cin >> n;
    for (int i = 1; i <= n; i++) {
        cin >> x[i] >> y[i];
        int t = y[i];
        y[i] = x[i] - y[i], x[i] += t;
        x[i] += W, y[i] += W;
    }
    cin >> m;
    for (int i = 1; i <= n; i++) {
        cin >> z[i] >> w[i];
        int t = w[i];
        w[i] = z[i] - w[i], z[i] += t;
        z[i] += W, w[i] += W;
    }
    int l = 0, r = 2e3;
    while (l < r) {
        int mid = (l + r) >> 1;
        Check(mid) ? l = mid + 1 : r = mid;
        //cout << l << ' ' << r << '\n';
    }
    cout << l;
    //cout << Check(1);
    return 0;
}