import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int[] values = new int[n];
        for (int i = 0; i < n; i++) {
            values[i] = sc.nextInt();
        }
        TreeSet<Num> queue = new TreeSet<>();
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            queue.add(new Num(i, values[i], x, (values[i] + x) / 2));
        }
        int ans = Integer.MAX_VALUE;
        while (true) {
            Num x = queue.pollFirst();
            ans = Math.min(ans, queue.last().value() - x.value());
            if (!x.canAdd()) {
                break;
            }
            x.add();
            queue.add(x);
        }
        System.out.println(ans);
    }
    
    static class Num implements Comparable<Num> {
        int idx;
        int[] values;
        int current = 0;
        
        public Num(int idx, int a, int b, int c) {
            this.idx = idx;
            values = new int[]{a, b, c};
            Arrays.sort(values);
        }
        
        public boolean canAdd() {
            return current < 2;
        }
        
        public void add() {
            current++;
        }
        
        public int value() {
            return values[current];
        }
        
        public int compareTo(Num another) {
            if (value() == another.value()) {
                return idx - another.idx;
            } else {
                return value() - another.value();
            }
        }
        
        public int hashCode() {
            return idx;
        }
        
        public boolean equals(Object o) {
            return hashCode() == o.hashCode();
        }
        
        public String toString() {
            return idx + Arrays.toString(values);
        }
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}