You are given two arrays a and b, both of length n. All elements of both arrays are from 0 to n-1.

You can reorder elements of the array b (if you want, you may leave the order of elements as it is). After that, let array c be the array of length n, the i-th element of this array is c_i = (a_i + b_i) \% n, where x \% y is x modulo y.

Your task is to reorder elements of the array b to obtain the lexicographically minimum possible array c.

Array x of length n is lexicographically less than array y of length n, if there exists such i (1 ≤ i ≤ n), that x_i < y_i, and for any j (1 ≤ j < i) x_j = y_j.

Input

The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a, b and c.

The second line of the input contains n integers a_1, a_2, ..., a_n (0 ≤ a_i < n), where a_i is the i-th element of a.

The third line of the input contains n integers b_1, b_2, ..., b_n (0 ≤ b_i < n), where b_i is the i-th element of b.

Output

Print the lexicographically minimum possible array c. Recall that your task is to reorder elements of the array b and obtain the lexicographically minimum possible array c, where the i-th element of c is c_i = (a_i + b_i) \% n.

Examples

Input


4
0 1 2 1
3 2 1 1


Output


1 0 0 2 


Input


7
2 5 1 5 3 4 3
2 4 3 5 6 5 1


Output


0 0 0 1 0 2 4 

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.HashSet;
import java.util.StringTokenizer;
import java.util.TreeSet;

/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */
/**
 *
 * @author Quan2202
 */
public class Main {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        // TODO code application logic here
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        
        int n = in.nextInt();
        int[] a = new int[n], b = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = in.nextInt();
        }
        TreeSet<Integer> set = new TreeSet<>();
        HashMap<Integer, Integer> hm = new HashMap<>();
        
        for (int i = 0; i < n; i++) {
            b[i] = in.nextInt();
            if (set.contains(b[i])) {
                hm.put(b[i], hm.get(b[i]) + 1);
            } else {
                set.add(b[i]);
                hm.put(b[i], 1);
            }
        }
        int[] c = new int[n];
        for (int i = 0; i < n; i++) {
            int tmp = n - a[i];
            int k;
            if (set.ceiling(tmp) != null) {
                k = set.ceiling(tmp);                
            } else {
                k = set.first();
            }
            c[i] = (k + a[i]) % n;           
            if (hm.get(k) == 1) {
                set.remove(k);
            } else {
                hm.put(k, hm.get(k) - 1);
            }
        }
        for (int i = 0; i < n; i++) {
            out.print(c[i] + " ");
        }
        out.flush();
    }
    
    static class InputReader {
        
        public BufferedReader reader;
        public StringTokenizer tokenizer;
        
        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }
        
        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }
        
        public int nextInt() {
            return Integer.parseInt(next());
        }
        
        public long nextLong() {
            return Long.parseLong(next());
        }
    }
}
