#include <bits/stdc++.h>
#include <atcoder/all>
#include <boost/polygon/point_data.hpp>
#include <boost/polygon/voronoi.hpp>
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define all(x) begin(x),end(x)
#define sz(x) (int)(x).size()
using namespace std;
using namespace atcoder;
using ll=long long;
using ull=unsigned long long;
using ld=long double;
using vll=vector<ll>;
using vvll=vector<vll>;
using vi=vector<int>;
using vvi=vector<vi>;
using pll=pair<ll,ll>;
using pi=pair<int,int>;

// using mint=modint998244353;
using mint=modint1000000007;
// using mint2=static_modint<2>;

// using BoostPoint=boost::polygon::point_data<int>;
// using Voronoi=boost::polygon::voronoi_diagram<double>;

// using mint=LazyMontgomeryModInt<998244353>;
using vm=vector<mint>;
using vvm=vector<vm>;

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
	int N;
	cin>>N;
	vi A(N),B(N);
	rep(i,0,N)cin>>A[i];
	rep(i,0,N)cin>>B[i];
	int R=0,U=INT_MAX,ans=INT_MAX;
	vector<pi>e;
	rep(i,0,N){
		int x=min(A[i],B[i]),z=max(A[i],B[i]);
		int y=(x+z)/2;
		R=max(R,x);
		U=min(U,z);
		e.push_back({x,y});
		e.push_back({y,z});
	}
	sort(all(e));
	for(auto&[t,v]:e){
		if(t>=U)break;
		ans=min(ans,R-t);
		R=max(R,v);
	}
	ans=min(ans,R-U);
	cout<<ans<<'\n';
}