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A. Many Equal Substrings

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou 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 $$$s[l \dots r]$$$.

Your task is to construct such string $$$s$$$ of minimum possible length that there are exactly $$$k$$$ positions $$$i$$$ such that $$$s[i \dots i + n - 1] = t$$$. 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 $$$k$$$ ($$$1 \le n, k \le 50$$$) — 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

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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