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 PYTHON3):

Solution:
n, k = map(int, input().split())

C = 97

p = [0] * k
out = ['a']

F = k + k * (k - 1)
n -= 1
# forbidden = set()
a_forbidden = False
for i in range(2, n + 2):
    if not i % F:
        a_forbidden = False
    # print(a_forbidden)
    cur = ord(out[-1]) - C
    if p[cur] == 0 and a_forbidden:
        p[cur] += 1
    out.append(chr(C + p[cur]))
    p[cur] += 1
    if p[cur] == k:
        p[cur] = 0
        if cur == 0:
            a_forbidden = True

print(''.join(out))