D. Min Cost String
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Let's define the cost of a string $s$ as the number of index pairs $i$ and $j$ ($1 \le i < j < |s|$) such that $s_i = s_j$ and $s_{i+1} = s_{j+1}$.

You are given two positive integers $n$ and $k$. Among all strings with length $n$ that contain only the first $k$ characters of the Latin alphabet, find a string with minimum possible cost. If there are multiple such strings with minimum cost — find any of them.

Input

The only line contains two integers $n$ and $k$ ($1 \le n \le 2 \cdot 10^5; 1 \le k \le 26$).

Output

Print the string $s$ such that it consists of $n$ characters, each its character is one of the $k$ first Latin letters, and it has the minimum possible cost among all these strings. If there are multiple such strings — print any of them.

Examples
Input
9 4

Output
aabacadbb

Input
5 1

Output
aaaaa
Input
10 26

Output
codeforces