#include <bits/stdc++.h>
using namespace std;
int main () {
	int N;
	cin >> N;
	int H = 2020, W = 2020;
	vector A(H, vector(W, 0));
	while (N--) {
		int x, y;
		cin >> x >> y;
		A[x + y][x - y + 1000] ++;
	}
	for (int i = 1; i < H; i ++) {
		for (int j = 1; j < W; j ++) {
			A[i][j] += A[i][j - 1] + A[i - 1][j] - A[i - 1][j - 1];
		}
	}
	cin >> N;
	vector<pair<int, int>> B(N);
	for (auto& [x, y] : B) {
		int a, b;
		cin >> a >> b;
		x = a + b;
		y = a - b + 1000;
	}
	int ok = H, ng = -1;
	while (abs(ok - ng) > 1) {
		int mu = (ok + ng) / 2;
		bool ex = false;
		for (auto& [x, y] : B) {
			int a1 = min(H-1, x + mu), b1 = min(W-1, y + mu),
			a2 = max(0, x - mu - 1), b2 = max(0, y - mu - 1);
			int c = A[a1][b1] + A[a2][b2] - A[a1][b2] - A[a2][b1];
			ex = ex || c;
		}
		if (ex) {
			ok = mu;
		} else {
			ng = mu;
		}
	}
	cout << ok << endl;
}