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> nums = new TreeSet<>();
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            nums.add(new Num(i, values[i], x, (values[i] + x) / 2));
        }
        int ans = nums.last().getValue() - nums.first().getValue();
        while (!nums.first().isBiggest()) {
            Num x = nums.pollFirst();
            x.add();
            nums.add(x);
            ans = Math.min(ans, nums.last().getValue() - nums.first().getValue());
        }
        System.out.println(ans);
    }
    
    static class Num implements Comparable<Num> {
        int[] values;
        int idx = 0;
        int x;
        
        public Num(int x, int[] values) {
            this.x = x;
            this.values = values;
            Arrays.sort(values);
        }
        
        public Num(int x, int a, int b, int c) {
            this(x, new int[]{a, b, c});
        }
        
        public int getValue() {
            return values[idx];
        }
        
        public int compareTo(Num another) {
            if (getValue() == another.getValue()) {
                return x - another.x;
            } else {
                return getValue() - another.getValue();
            }
        }
        
        public boolean isBiggest() {
            return idx == 2;
        }
        
        public void add() {
            idx++;
        }
        
        public String toString() {
            return getValue() + ":" + x + ":" + 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();
    }
    
}