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:
import sys
input = sys.stdin.readline

n, k = map(int, input().split())
x = []
for i in range(k):
    x.append(i)
    x.append(i)
    for j in range(i + 2, k):
        x.append(j)
        x.append(i)
for i in range(k - 2, 0, -1):
    x.append(i)
y = [chr(i + 97) for i in x]
ans = []
for i in range(n):
    ans.append(y[i % len(x)])
ans = "".join(ans)
print(ans)