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
from sys import stdin

alp = "abcdefghijklmnopqrstuvwxyz"

n,k = map(int,stdin.readline().split())

s = []

for i in range(k):

    for j in range(k-1,i+1,-1):
        s.append(alp[i])
        s.append(alp[j])
    s.append(alp[i])

s.append(alp[k-1])
for i in range(k-2,-1,-1):
    s.append(alp[i])
    s.append(alp[i])

del s[-1]

ans = [s[i % len(s)] for i in range(n)]
print ("".join(ans))