Problem: You're given a list of n strings a1, a2, ..., an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.

Given the list of strings, output the lexicographically smallest concatenation.

Input

The first line contains integer n — the number of strings (1 ≤ n ≤ 5·104).

Each of the next n lines contains one string ai (1 ≤ |ai| ≤ 50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.

Output

Print the only string a — the lexicographically smallest string concatenation.

Examples

Input

4
abba
abacaba
bcd
er


Output

abacabaabbabcder


Input

5
x
xx
xxa
xxaa
xxaaa


Output

xxaaaxxaaxxaxxx


Input

3
c
cb
cba


Output

cbacbc

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public class C {
	public static void main(String[] args) throws IOException {
		Scanner sc = new Scanner(System.in);
		PrintWriter pw = new PrintWriter(System.out);
		int n = sc.nextInt();
		Thing[] arr = new Thing[n];
		for(int i=0;i<n;i++)
			arr[i] = new Thing(sc.next());
		Arrays.sort(arr);
		StringBuilder ans = new StringBuilder();
		for(int i=0;i<n;i++)
			ans.append(arr[i].s);
		pw.println(ans.toString());
		pw.flush();
	}
	static class Thing implements Comparable<Thing>{
		String s;
		Thing(String x){s = x;}
		public int compareTo(Thing o2) 
		{String o = o2.s;return (new StringBuilder().append(s).append(o).toString()).compareTo(new StringBuilder().append(o).append(s).toString());}
	}
	static class Scanner {
		StringTokenizer st;BufferedReader br;
		public Scanner(InputStream s) {br = new BufferedReader(new InputStreamReader(s));}
		public String next() throws IOException {while (st == null || !st.hasMoreTokens())st = new StringTokenizer(br.readLine());return st.nextToken();}
		public int nextInt() throws IOException {return Integer.parseInt(next());}
		public String nextLine() throws IOException {return br.readLine();}
	}
}