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:
def main():
    N, K = map(int, input().split())
    
    path = []
    cur = [0] * 26
    def dfs(u):
        while cur[u] < K:
            v = cur[u]
            cur[u] += 1
            dfs(v)
            path.append(v)
    
    dfs(0)
    print("a", end="")
    for i in range(N - 1):
        print(chr(path[i % len(path)] + ord("a")), end="")

main()