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[] points = new int[n];
        for (int i = 0; i < n; i++) {
            points[i] = sc.nextInt();
        }
        HashMap<Integer, ArrayList<Integer>> relays = new HashMap<>();
        PriorityQueue<Path> queue = new PriorityQueue<>();
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            if (!relays.containsKey(points[i] - x)) {
                relays.put(points[i] - x, new ArrayList<>());
            }
            relays.get(points[i] - x).add(i);
            if (!relays.containsKey(points[i] + x)) {
                relays.put(points[i] + x, new ArrayList<>());
            }
            relays.get(points[i] + x).add(i);
            queue.add(new Path(i, points[i] + x));
        }
        int[] ans = new int[n];
        while (queue.size() > 0) {
            Path p = queue.poll();
            if (ans[p.idx] > 0) {
                continue;
            }
            ans[p.idx] = p.value - points[p.idx];
            if (relays.containsKey(points[p.idx])) {
                for (int x : relays.get(points[p.idx])) {
                    if (ans[x] == 0) {
                        queue.add(new Path(x, p.value));
                    }
                }
            }
        }
        System.out.println(String.join("\n", Arrays.stream(ans).mapToObj(String::valueOf).toArray(String[]::new)));
    }
    
    static class Path implements Comparable<Path> {
        int idx;
        int value;
        
        public Path(int idx, int value) {
            this.idx = idx;
            this.value = value;
        }
        
        public int compareTo(Path another) {
            return another.value - value;
        }
    }
    
}
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();
    }
    
}