Problem: You are given a string t consisting of n lowercase Latin letters and an integer number k.

Let's define a substring of some string s with indices from l to r as s[l ... r].

Your task is to construct such string s of minimum possible length that there are exactly k positions i such that s[i ... i + n - 1] = t. In other words, your task is to construct such string s of minimum possible length that there are exactly k substrings of s equal to t.

It is guaranteed that the answer is always unique.

Input

The first line of the input contains two integers n and k (1 ≤ n, k ≤ 50) — the length of the string t and the number of substrings.

The second line of the input contains the string t consisting of exactly n lowercase Latin letters.

Output

Print such string s of minimum possible length that there are exactly k substrings of s equal to t.

It is guaranteed that the answer is always unique.

Examples

Input

3 4
aba


Output

ababababa


Input

3 2
cat


Output

catcat

Solution (in JAVA):

Solution:

import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.*;
import java.util.*;
import java.util.Map.Entry;

public class Main {

	public static void main(String[] args) throws IOException {
		FastReader in = new FastReader(System.in);
		PrintWriter out = new PrintWriter(System.out);

		int n = in.nextInt();
		int k = in.nextInt();
		String a = in.next();
		int len = 0;
		for (int i = 1; i < n; i++) {
			if(a.substring(0, i).equals(a.substring(a.length()-i,a.length()))) {
				len = i;
			}
		}
		
		String part = a.substring(len, a.length());
        String res = a;
        for (int i = 1; i < k; i++) {
            res += part;
        }
        out.println(res);
		out.flush();
		out.close();
	}

	
	static class FastReader {
		StringTokenizer st;
		BufferedReader br;

		public FastReader(InputStream s) {
			br = new BufferedReader(new InputStreamReader(s));
		}

		public FastReader(FileReader fileReader) {
			br = new BufferedReader(fileReader);
		}

		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 double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public boolean ready() throws IOException {
			return br.ready();
		}
	}

}