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();
        Point[] points = new Point[n];
        for (int i = 0; i < n; i++) {
            points[i] = new Point(i, sc.nextInt());
        }
        for (int i = 0; i < n; i++) {
            points[i].enable = sc.nextInt();
        }
        Arrays.sort(points);
        HashMap<Integer, Integer> maxes = new HashMap<>();
        int[] ans = new int[n];
        for (Point x : points) {
            ans[x.idx] = Math.max(maxes.getOrDefault(x.position + x.enable, x.position + x.enable), maxes.getOrDefault(x.position - x.enable, 0)) - x.position;
            maxes.put(x.position, ans[x.idx] + x.position);
        }
        System.out.println(String.join("\n", Arrays.stream(ans).mapToObj(String::valueOf).toArray(String[]::new)));
    }
    
    static class Point implements Comparable<Point> {
        int idx;
        int position;
        int enable;
        
        public Point(int idx, int position) {
            this.idx = idx;
            this.position = position;
        }
        
        public int compareTo(Point another) {
            return another.position + another.enable - (position + enable);
        }
    }
}
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();
    }
    
}