#include<iostream>
#include<vector>
#include<algorithm>

using namespace std;
using ll = long long;

#include<atcoder/fenwicktree>
int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    int n;
    cin>>n;
    vector<ll> x(n),y(n);
    for(int i = 0;i<n;i++) cin>>x[i]>>y[i];
    for(int i = 0;i<n;i++){
        ll a = x[i] + y[i];
        ll b = x[i] - y[i];
        x[i] = a;
        y[i] = b;
    }
    int m;
    cin>>m;
    vector<ll> z(m),w(m);
    for(int i = 0;i<m;i++){
        cin>>z[i]>>w[i];
        ll a = z[i] + w[i];
        ll b = z[i] - w[i];
        z[i] = a;
        w[i] = b;
    }
    ll right = 3e6;
    ll left = -1;
    vector<ll> dy;
    for(int i = 0;i<n;i++) dy.push_back(y[i]);
    sort(dy.begin(),dy.end());
    dy.erase(unique(dy.begin(),dy.end()),dy.end());
    while(right-left>1){
        ll mid = (right+left) / 2;
        vector<pair<pair<ll,int>,pair<ll,ll>>> que;
        for(int i = 0;i<n;i++){
            que.push_back(make_pair(make_pair(x[i],100),make_pair(y[i],0)));
        }
        vector<ll> cnt(m,0);
        vector<int> vis(m,0);
        for(int i = 0;i<m;i++){
            que.push_back(make_pair(make_pair(z[i]-mid,-i),make_pair(w[i]-mid,w[i]+mid+1)));
            que.push_back(make_pair(make_pair(z[i]+mid+1,-i),make_pair(w[i]-mid,w[i]+mid+1)));
        }

        int mm = dy.size();
        atcoder::fenwick_tree<ll> bit(mm);
        sort(que.begin(),que.end());
        
        for(int i = 0;i<que.size();i++){
            //cout<<i<<endl;
            auto now = que[i];
            int t = now.first.second;
            //cout<<i<<endl;
            if(t==100){
                ll want = now.second.first;
                int ni = lower_bound(dy.begin(),dy.end(),want) - dy.begin();
                bit.add(ni,1);
            }else{
                ll w1 = now.second.first;
                ll w2 = now.second.second;
                int ni = lower_bound(dy.begin(),dy.end(),w1) - dy.begin();
                int nj = lower_bound(dy.begin(),dy.end(),w2) - dy.begin();
                int u = -now.first.second;
                // cout<<u<<endl;
                if(vis[u]++){
                    cnt[u] += bit.sum(ni,nj);
                }else{
                    cnt[u] -= bit.sum(ni,nj);
                }
            }
        }
        bool fn = false;
        for(int i = 0;i<m;i++) if(cnt[i]>0) fn = true;
        if(fn) right = mid;
        else left = mid;
    }
    cout<<right<<endl;
}