#include <bits/stdc++.h>

using i64 = long long;

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    int N;
    std::cin >> N;
    
    std::vector<int> A(N), B(N);
    for (int i = 0; i < N; i++) {
        std::cin >> A[i];
    }
    for (int i = 0; i < N; i++) {
        std::cin >> B[i];
    }
    
    std::vector<std::tuple<int, int, int>> events;
    int r = 0;
    for (int i = 0; i < N; i++) {
        if (A[i] > B[i]) {
            std::swap(A[i], B[i]);
        }
        r = std::max(r, A[i]);
        events.emplace_back(A[i], 1, (A[i] + B[i]) / 2);
        events.emplace_back((A[i] + B[i]) / 2, 2, B[i]);
        events.emplace_back(B[i], 3, -1);
    }
    
    std::sort(events.begin(), events.end());
    int ans = 1E9;
    for (auto [x, t, y] : events) {
        ans = std::min(ans, r - x);
        if (t == 3) {
            break;
        }
        r = std::max(r, y);
    }
    std::cout << ans << "\n";
    
    return 0;
}