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 javax.print.DocFlavor;
import javax.swing.text.html.HTMLDocument;
import javax.xml.stream.util.EventReaderDelegate;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.security.KeyPair;
import java.util.*;

public class Main {

    static long[][] c ;
    static int[][] arr;
    static int dp[][];
    static long[] parent; /// DSU
    static boolean[][] ans;
    static int n , m;
    static int MAXN =(int) 1e6 + 10;
    static int[][] BIT = new int[MAXN][26];
    static int k = (int)(Math.ceil(Math.log(n)/Math.log(2)));
    static LinkedList<Integer> adj[];

    public static void main(String[] args) throws IOException {
        Reader.init(System.in);
        int n = Reader.nextInt();
        int[] a = new int[n];
        for (int i = 0; i < n ; i++){
            a[i] = Reader.nextInt();
        }
        Map<Integer,Integer> map = new HashMap<>();
        TreeSet<Integer> set = new TreeSet<>();
        for (int i = 0 ; i < n ; i++){
            int x = Reader.nextInt();
            set.add(x);
            if (map.containsKey(x)){
                map.put(x,map.get(x)+1);
            }
            else{
                map.put(x,1);
            }
        }
        for (int i = 0; i < n ; i++){
            int ans = 0;
            if (set.ceiling(n-a[i])==null){
                ans= set.first();
            }
            else{
                ans = set.ceiling(n-a[i]);
            }
            map.put(ans , map.get(ans)-1);
            System.out.print((ans+a[i])%n + " ");
            if (map.get(ans)==0){
                set.remove(ans);
            }

        }




    }





    static void update(int x , int val,char a){

        while (x<=n){
            BIT[x][a-'a']+=val;
            x+=(x&-x);
        }
    }

    static int query(int x,int a){
        int res= 0;
        while (x>0){
            res+=BIT[x][a];
            x-=(x&-x);
        }
        return res;
    }



    static long power(long x, long y, long p)
    {
        // Initialize result
        long res = 1;

        // Update x if it is more
        // than or equal to p
        x = x % p;

        while (y > 0)
        {
            // If y is odd, multiply x
            // with result
            if((y & 1)==1)
                res = (res * x) % p;

            // y must be even now
            // y = y / 2
            y = y >> 1;
            x = (x * x) % p;
        }
        return res;
    }



    static boolean fun(int n){
        int[] cnt = new int[10];
        String x = Integer.toString(n);
        for (int i = 0 ; i < x.length() ; i++){
            cnt[x.charAt(i)-'0']++;
        }
        for (int i = 0 ; i < 10 ; i++){
            if (cnt[i]>1){
                return false;
            }
        }
        return true;
    }

    static int rec(int row ,int col, int mask){
        //System.out.println(row + " " + col + " " + mask);
        if (row==n-1){
            if (mask!=0){
                ans[row][col] = true;
                return 1;
            }
            return 0;
        }
        if (dp[row][mask]!=-1){
            return dp[row][mask];
        }

        for (int i = 0 ;i < m ; i++){
            if (rec(row+1,i,mask^arr[row+1][i])==1){
                ans[row][col] = true;
                return dp[row][mask] = 1;
            }
        }
        return dp[row][mask]= 0;


    }




    static long find(int a){
        if (parent[a]!=a){
            parent[a] = find((int)parent[a]);
        }
        return parent[a];
    }




    public static void sortbyColumn_asc(int arr[][], int col)
    {
        // Using built-in sort function Arrays.sort
        Arrays.sort(arr, new Comparator<int[]>() {

            @Override
            // Compare values according to columns
            public int compare(final int[] entry1,
                               final int[] entry2) {

                // To sort in descending order revert
                // the '>' Operator
                if (entry1[col] > entry2[col])
                    return 1;
                else
                    return -1;
            }
        });  // End of function call sort().
    }

    public static void sortbyColumn_dsc(int arr[][], int col)
    {
        // Using built-in sort function Arrays.sort
        Arrays.sort(arr, new Comparator<int[]>() {

            @Override
            // Compare values according to columns
            public int compare(final int[] entry1,
                               final int[] entry2) {

                // To sort in descending order revert
                // the '>' Operator
                if (entry1[col] > entry2[col])
                    return -1;
                else
                    return 1;
            }
        });  // End of function call sort().
    }

    static void swap(char[] arr , int i , int j){
        char tmp = arr[i];
        arr[i] = arr[j];
        arr[j] = tmp;
    }

    static void swap(int[] arr , int i , int j){
        int tmp = arr[i];
        arr[i] = arr[j];
        arr[j] = tmp;
    }





}

class Edge implements Comparable<Edge>{
    int x , y , w;

    public Edge(int x, int y, int w) {
        this.x = x;
        this.y = y;
        this.w = w;
    }

    @Override
    public int compareTo(Edge o) {
        return this.w - o.w;
    }
}
class Reader {
    static BufferedReader reader;
    static StringTokenizer tokenizer;

    /** call this method to initialize reader for InputStream */
    static void init(InputStream input) {
        reader = new BufferedReader(
                new InputStreamReader(input) );
        tokenizer = new StringTokenizer("");
    }
    /** get next word */
    static String next() throws IOException {
        while ( ! tokenizer.hasMoreTokens() ) {
            //TODO add check for eof if necessary
            tokenizer = new StringTokenizer(
                    reader.readLine() );
        }
        return tokenizer.nextToken();
    }

    static int nextInt() throws IOException {
        return Integer.parseInt( next() );
    }
    static long nextLong() throws IOException {
        return Long.parseLong( next() );
    }

    static double nextDouble() throws IOException {
        return Double.parseDouble( next() );
    }
}
class MergeSort
{
    // Merges two subarrays of arr[].
    // First subarray is arr[l..m]
    // Second subarray is arr[m+1..r]
    void merge(int arr[], int l, int m, int r)
    {
        // Find sizes of two subarrays to be merged
        int n1 = m - l + 1;
        int n2 = r - m;

        /* Create temp arrays */
        int L[] = new int [n1];
        int R[] = new int [n2];

        /*Copy data to temp arrays*/
        for (int i=0; i<n1; ++i)
            L[i] = arr[l + i];
        for (int j=0; j<n2; ++j)
            R[j] = arr[m + 1+ j];


        /* Merge the temp arrays */

        // Initial indexes of first and second subarrays
        int i = 0, j = 0;

        // Initial index of merged subarry array
        int k = l;
        while (i < n1 && j < n2)
        {
            if (L[i] <= R[j])
            {
                arr[k] = L[i];
                i++;
            }
            else
            {
                arr[k] = R[j];
                j++;
            }
            k++;
        }

        /* Copy remaining elements of L[] if any */
        while (i < n1)
        {
            arr[k] = L[i];
            i++;
            k++;
        }

        /* Copy remaining elements of R[] if any */
        while (j < n2)
        {
            arr[k] = R[j];
            j++;
            k++;
        }
    }

    // Main function that sorts arr[l..r] using
    // merge()
    void sort(int arr[], int l, int r)
    {
        if (l < r)
        {
            // Find the middle point
            int m = (l+r)/2;

            // Sort first and second halves
            sort(arr, l, m);
            sort(arr , m+1, r);

            // Merge the sorted halves
            merge(arr, l, m, r);
        }
    }

    /* A utility function to print array of size n */
    static void printArray(int arr[])
    {
        int n = arr.length;
        for (int i=0; i<n; ++i)
            System.out.print(arr[i] + " ");
        System.out.println();
    }

    // Driver method

}

class Node implements Comparable<Node>{
    int a;
    int b;
    Node (int a , int b){
        this.a = a;
        this.b = b;
    }



    public int compareTo(Node o) {
        if (this.a != o.a) {
            return this.a - o.a;
        }
        else{
            return this.b - o.b;
        }
    }
}