/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
#define ff first
#define ss second
#define pii pair<int,int>
#define vi vector<int>
const int N = 1e6+100, M = 2e6+10, K = 52, MX = 30;
int n;
int a[N], b[N], c[N], T[M], lazy[M], T3[M], lazy3[M];
array<int, 2> to[N];
bool B[N], C[N];
array<int, 2> gett(int val, int k){
return array<int,2>{(lower_bound(b+1, b+1+n, val - k) - b), (upper_bound(b+1, b+1+n, val + k) - b - 1)};
}
void push(int k){
if(!lazy[k]) return;
T[k<<1] += lazy[k];
T[k<<1|1] += lazy[k];
lazy[k<<1|1] += lazy[k];
lazy[k<<1] += lazy[k];
lazy[k] = 0;
}
void push3(int k){
if(!lazy3[k]) return;
T3[k<<1] += lazy3[k];
T3[k<<1|1] += lazy3[k];
lazy3[k<<1|1] += lazy3[k];
lazy3[k<<1] += lazy3[k];
lazy3[k] = 0;
}
void build(int l, int r, int k){
lazy[k] = 0;
lazy3[k] = 0;
if(l == r){
T[k] = -l;
T3[k] = - (n - l + 1);
return;
}
int m = l+r>>1;
build(l, m, k<<1);
build(m+1, r, k<<1|1);
T[k] = min(T[k<<1], T[k<<1|1]);
T3[k] = min(T3[k<<1], T3[k<<1|1]);
}
void upd(int l, int r, int ql, int qr, int k, int val){
if(ql > r || l > qr || ql > qr) return;
if(ql <= l && r <= qr){
T[k] += val;
lazy[k] += val;
return;
}
push(k);
int mid = l+r>>1;
upd(l, mid, ql, qr, k<<1, val);
upd(mid+1, r, ql, qr, k<<1|1, val);
T[k] = min(T[k<<1], T[k<<1|1]);
}
void upd3(int l, int r, int ql, int qr, int k, int val){
if(ql > r || l > qr || ql > qr) return;
if(ql <= l && r <= qr){
T3[k] += val;
lazy3[k] += val;
return;
}
push3(k);
int mid = l+r>>1;
upd3(l, mid, ql, qr, k<<1, val);
upd3(mid+1, r, ql, qr, k<<1|1, val);
T3[k] = min(T3[k<<1], T3[k<<1|1]);
}
bool f(int k){
for(int i = 1; i <= 2*n; ++i) B[i] = C[i] = 0;
for(int rep = 0; rep < 2; ++rep){
for(int i = 1; i <= n*3; ++i){
if(i > 2*n) to[i] = to[i - n*2];
else to[i] = gett(a[i], k);
// cerr << k << ' '<< a[i] << ' ' << to[i][0] << ' ' << to[i][1] << '\n';
}
// en;
int cnt_bad = 0;
build(1, n, 1);
for(int i = 1; i <= n; ++i){
upd(1, n, to[i][0], n, 1, 1);
upd3(1, n, 1, to[i][1], 1, 1);
if(to[i][0] > to[i][1]) cnt_bad++;
}
for(int i = n + 1; i <= 3 * n; ++i){
if(T[1] >= 0 && T3[1] >= 0 && cnt_bad == 0){ // i-n ... i-1 is nice
B[i - n] = 1;
}
if(to[i - n][0] > to[i - n][1]) cnt_bad--;
if(to[i][0] > to[i][1]) cnt_bad++;
if(to[i - n][0] <= to[i][0]) upd(1, n, to[i - n][0], to[i][0] - 1, 1, -1);
else upd(1, n, to[i][0], to[i - n][0] - 1, 1, 1);
if(to[i - n][1] <= to[i][1]) upd3(1, n, to[i - n][1] + 1, to[i][1], 1, 1);
else upd3(1, n, to[i][1] + 1, to[i - n][1], 1, -1);
}
for(int i = 1; i <= n; ++i){
swap(b[i], c[i]);
}
for(int i = 1; i <= 2*n; ++i) swap(B[i], C[i]);
}
for(int i = 1; i <= n; ++i){
if(B[i] && C[i + n]) return 1;
if(C[i] && B[i + n]) return 1;
}
return 0;
}
void solve(){
cin >> n;
for(int i = 1; i <= n*2; ++i){
cin >> a[i];
}
for(int i = n+n+1; i <= n+n+n; ++i) a[i] = a[i-n-n];
for(int i = 1; i <= n; ++i){
cin >> b[i];
}
for(int i = 1; i <= n; ++i){
cin >> c[i];
}
sort(b+1, b+1+n);
sort(c+1, c+1+n);
int L = 0, R = 1e9, ans = 1e9;
while(L <= R){
int mid = L+R>>1;
if(f(mid)){
ans = mid;
R = mid-1;
}else L = mid+1;
}
cout << ans;
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
en;
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
