#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 4000000000000000001LL

template <class S, S (*op)(S, S), S (*e)()> struct compressed_segtree {
	
	segtree<S,op,e> seg;
	
	compressed_segtree() : compressed_segtree(vector<long long>(0)) {
	}
	compressed_segtree(vector<long long> tx, vector<S> v){
		_tx = tx;
		seg = segtree<S,op,e>(v);
	}
	compressed_segtree(vector<long long> tx){
		_tx = tx;
		seg = segtree<S,op,e>(tx.size());
	}
	
	int lower_ind(long long p){
		return distance(_tx.begin(),lower_bound(_tx.begin(),_tx.end(),p));
	}
	
	void set(long long p, S x) {
		seg.set(lower_ind(p), x);
    }
	
	S get(long long p) {
		int idx = lower_ind(p);
		if(idx!=_tx.size()&&_tx[idx]==p)return seg.get(idx);
		return e();
    }
	
	S prod(long long l,long long r) {
       return seg.prod(lower_ind(l),lower_ind(r));
    }

	S all_prod() { return seg.all_prod(); }
	
	vector<long long> _tx;
	
};

template <class S, S (*op)(S, S), S (*e)()> struct compressed_2d_segtree {
	
	vector<compressed_segtree<S,op,e>> seg;
	
	compressed_2d_segtree() : compressed_2d_segtree(vector<long long>(0)) {
	}
	/*
	compressed_2d_segtree(vector<long long> tx, vector<S> v){
		_tx = tx;
		seg = segtree<S,op,e>(v);
	}
	*/
	compressed_2d_segtree(vector<pair<long long,long long>> tp){
		_tp = tp;
		rep(i,tp.size()){
			_tx.push_back(tp[i].first);
			_ty.push_back(tp[i].second);
		}
		sort(_tx.begin(),_tx.end());
		_tx.erase(unique(_tx.begin(),_tx.end()),_tx.end());
		sort(_ty.begin(),_ty.end());
		_ty.erase(unique(_ty.begin(),_ty.end()),_ty.end());
		int n = _tx.size();
		log = 0;
		while((1LL<<log) < n){
			log++;
		}
		
		size = 1<<log;
		
		seg.resize(size*2);
		
		vector<vector<long long>> ys(size*2);
		rep(i,tp.size()){
			ys[size + lower_indx(tp[i].first)].push_back(tp[i].second);
		}
		for(int i=size;i<size*2;i++){
			sort(ys[i].begin(),ys[i].end());
			ys[i].erase(unique(ys[i].begin(),ys[i].end()),ys[i].end());
			seg[i] = compressed_segtree<S,op,e>(ys[i]);
		}
		
		for(int i=size-1;i>=1;i--){
			vector<long long> a(ys[i*2].rbegin(),ys[i*2].rend()), b(ys[i*2+1].rbegin(),ys[i*2+1].rend());
			while(a.size()>0||b.size()>0){
				if(a.size()==0){
					swap(a,b);
				}
				else if(b.size()>0){
					if(a.back()>b.back())swap(a,b);
				}
				if(ys[i].size()==0||ys[i].back()!=a.back())ys[i].push_back(a.back());
				a.pop_back();
			}
			
			seg[i] = compressed_segtree<S,op,e>(ys[i]);
			ys[i*2].clear();
			ys[i*2+1].clear();
		}

	}
	
	int lower_indx(long long p){
		return distance(_tx.begin(),lower_bound(_tx.begin(),_tx.end(),p));
	}
	
	int lower_indy(long long p){
		return distance(_ty.begin(),lower_bound(_ty.begin(),_ty.end(),p));
	}
	
	void set(long long px, long long py, S x) {
		px = lower_indx(px) + size;
        seg[px].set(py,x);
        for (int i = 1; i <= log; i++) update(px >> i, py);
    }
	
	S get(long long px, long long py) {
		int idx = lower_indx(px);
		if(idx!=_tx.size()&&_tx[idx]==px)return seg[idx+size].get(py);
		return e();
    }
	
	S prod(long long lx,long long rx, long long ly, long long ry) {
		S sml = e(), smr = e();
        lx = lower_indx(lx)+size;
        rx = lower_indx(rx)+size;

        while (lx < rx) {
            if (lx & 1) sml = op(sml, seg[lx++].prod(ly,ry));
            if (rx & 1) smr = op(seg[--rx].prod(ly,ry), smr);
            lx >>= 1;
            rx >>= 1;
        }
        return op(sml, smr);
    }

	S all_prod() { return seg[1].all_prod(); }
	int size, log;
	vector<pair<long long,long long>> _tp;
	vector<long long> _tx,_ty;
	
	void update(int k, long long py) {
		seg[k].set(py, op(seg[2*k].get(py), seg[2*k+1].get(py)));
	}
};


long long op(long long a,long long b){
	return min(a,b);
}

long long e(){
	return Inf64;
}
int main(){
	
	int n;
	cin>>n;
	
	vector<pair<long long,long long>> tp(n);
	rep(i,n){
		cin>>tp[i].first>>tp[i].second;
	}
	compressed_2d_segtree<long long,op,e> s00(tp),s01(tp),s10(tp),s11(tp);
	rep(i,n){
		s00.set(tp[i].first,tp[i].second,tp[i].first+tp[i].second);
		s01.set(tp[i].first,tp[i].second,tp[i].first-tp[i].second);
		s10.set(tp[i].first,tp[i].second,-tp[i].first+tp[i].second);
		s11.set(tp[i].first,tp[i].second,-tp[i].first-tp[i].second);
	}
	int m;
	cin>>m;
	long long ans = Inf64;
	rep(i,m){
		long long x,y;
		cin>>x>>y;
		ans = min(ans,s00.prod(x,Inf64,y,Inf64)-x-y);
		ans = min(ans,s01.prod(x,Inf64,0,y)-x+y);
		ans = min(ans,s10.prod(0,x,y,Inf64)+x-y);
		ans = min(ans,s11.prod(0,x,0,y)+x+y);
	}
	cout<<ans<<endl;
	
	return 0;
}