You're given an array a of length 2n. Is it possible to reorder it in such way so that the sum of the first n elements isn't equal to the sum of the last n elements?

Input

The first line contains an integer n (1 ≤ n ≤ 1000), where 2n is the number of elements in the array a.

The second line contains 2n space-separated integers a_1, a_2, …, a_{2n} (1 ≤ a_i ≤ 10^6) — the elements of the array a.

Output

If there's no solution, print "-1" (without quotes). Otherwise, print a single line containing 2n space-separated integers. They must form a reordering of a. You are allowed to not change the order.

Examples

Input


3
1 2 2 1 3 1


Output


2 1 3 1 1 2

Input


1
1 1


Output


-1

Note

In the first example, the first n elements have sum 2+1+3=6 while the last n elements have sum 1+1+2=4. The sums aren't equal.

In the second example, there's no solution.
/*
 * @Author: Kaustav Vats  
 */
import java.io.*;
import java.util.*;
import java.math.*;
import java.lang.*;


public class PA {
    public static int N;

    public static void main(String[] args) throws IOException{
        Reader.init(System.in);
        N = Reader.nextInt();
        int[] Arr = new int[N*2];
        boolean AllSame = true;
        int Prev = -1;
        for (int i=0;i<2*N; i++) {
            Arr[i] = Reader.nextInt();
            if (i > 0) {
                if (Prev != Arr[i]) {
                    AllSame = false;
                }
            }
            Prev = Arr[i];
        }
        if (AllSame) {
            System.out.println(-1);
        }
        else {
            Arrays.sort(Arr);
            for (int i=0; i<2*N; i++) {
                System.out.print(Arr[i]+" ");
            }
            System.out.println();
        }   
        
    }
}


/** Class for buffered reading int and double values */
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() );
    }
}