Problem: Let's define the cost of a string s as the number of index pairs i and j (1 ≤ 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 ≤ n ≤ 2 ⋅ 10^5; 1 ≤ k ≤ 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

Solution (in PYTHON):

Solution:
from string import lowercase
def main():
    n, k = map(int, raw_input().split())
    d = lowercase[:k]
    s = ['a']
    for i in xrange(1, k):
        for j in xrange(1, i):
            s += [d[i], d[i-j]]
        s += [d[i], d[i], d[0]]
    s = ''.join(s)
    ans = s * (n / len(s) + 1)
    print ans[:n]
main()