#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 1000000000000000001


int main(){
	
	int n;
	cin>>n;
	
	vector<pair<int,int>> p;
	vector<int> a(n),b(n);
	rep(i,n)cin>>a[i];
	rep(i,n)cin>>b[i];
	rep(i,n){
		p.emplace_back(a[i],i);
		p.emplace_back(b[i],i);
		p.emplace_back((a[i]+b[i])/2,i);
	}
	
	sort(p.begin(),p.end());
	map<int,int> mp;
	int l = 0;
	int ans = Inf32;
	rep(i,p.size()){
		mp[p[i].second]++;
		while(mp.size()==n){
			if(mp[p[l].second]>1){
				mp[p[l].second]--;
				l++;
			}
			else break;
		}
		if(mp.size()==n)ans = min(ans,p[i].first-  p[l].first);
	}
	cout<<ans<<endl;
	
	return 0;
}