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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int gcd(int a, int b) {
  if (a == 0) return b;
  return gcd(b % a, a);
}
int mul_mod(int a, int b, int m) {
  int x = 0, y = a;
  while (b > 0) {
    if (b & 1) {
      x = (x + y) % m;
    }
    y = (y + y) % m;
    b >>= 1;
  }
  return x;
}
long long int power(long long int x, long long int y) {
  long long int res = 1;
  x = x;
  while (y > 0) {
    if (y & 1) res = (res * x);
    y = y >> 1;
    x = (x * x);
  }
  return res;
}
long long int power(long long int x, long long int y, long long int p) {
  long long int res = 1;
  x = x % p;
  while (y > 0) {
    if (y & 1) res = (res * x) % p;
    y = y >> 1;
    x = (x * x) % p;
  }
  return res;
}
int main() {
  int n, k;
  cin >> n >> k;
  string t;
  cin >> t;
  string s = t;
  k--;
  int i = 1;
  while (k > 0) {
    string s1 = s.substr(i, s.length() - i);
    string s2 = t.substr(0, s.length() - i);
    ;
    if (s1 == s2) {
      k--;
      string sb = t.substr(s.length() - i);
      s += sb;
    }
    i++;
  }
  cout << s;
  return 0;
}