#include <bits/stdc++.h>

using namespace std;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    vector<int> a(n), b(n);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    for (int i = 0; i < n; i++) {
        cin >> b[i];
    }
    vector<pair<int, int>> c;
    for (int i = 0; i < n; i++) {
        c.emplace_back(a[i], i);
        c.emplace_back(b[i], i);
        c.emplace_back(a[i] / 2 + b[i] / 2, i);
    }
    sort(c.begin(), c.end());
    vector<int> cnt(n, 0);
    int x = 0;
    int ans = 1e9;
    int L = 0, R = 0;
    while (R < 3 * n) {
        while (R < 3 * n && x < n) {
            if (cnt[c[R].second] == 0) {
                x++;
            }
            cnt[c[R].second]++;
            R++;
        }
        if (R == 3 * n && x < n) { 
            break;
        }
        ans = min(ans, c[R - 1].first - c[L].first);
        cnt[c[L].second]--;
        if (cnt[c[L].second] == 0) {
            x--;
        }
        L++;
        if (L == R) {
            R++;
        }
    }
    cout << ans << '\n';
}