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

public class Main {
    static ArrayList<ArrayList<Integer>> graph = new ArrayList<>();
    static Person[] persons;
    static int[] dp;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        persons = new Person[n];
        TreeMap<Integer, Person> positions = new TreeMap<>();
        for (int i = 0; i < n; i++) {
            persons[i] = new Person(i, sc.nextInt());
            positions.put(persons[i].position, persons[i]);
            graph.add(new ArrayList<>());
        }
        for (int i = 0; i < n; i++) {
            persons[i].distance = sc.nextInt();
        }
        for (int i = 0; i < n; i++) {
            if (positions.containsKey(persons[i].position - persons[i].distance)) {
                graph.get(i).add(positions.get(persons[i].position - persons[i].distance).idx);
            }
            if (positions.containsKey(persons[i].position + persons[i].distance)) {
                graph.get(i).add(positions.get(persons[i].position + persons[i].distance).idx);
            }
        }
        dp = new int[n];
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            sb.append(dfw(i, new boolean[n]) - persons[i].position).append("\n");
        }
        System.out.print(sb);
    }
    
    static int dfw(int idx, boolean[] used) {
        if (used[idx]) {
            return 0;
        }
        if (dp[idx] == 0) {
            used[idx] = true;
            dp[idx] = persons[idx].position + persons[idx].distance;
            for (int x : graph.get(idx)) {
                dp[idx] = Math.max(dp[idx], dfw(x, used));
            }
            used[idx] = false;
        }
        return dp[idx];
    }
    
    static class Person {
        int idx;
        int position;
        int distance;
        
        public Person(int idx, int position) {
            this.idx = idx;
            this.position = position;
        }
        
    }
}

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();
    }
    
}