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:
from math import *
import time, sys

n, k=[int(i) for i in input().split()]
s=[]

for i in range(k):
	for j in range(i, k):
		s.append(chr(ord('a')+j))
		if j!=k-1:
			s.append(chr(ord('a')+i))

ans=[]
t=len(s)

for i in range(n//t):
	for j in s:
		ans.append(j)

for i in range(n%t):
	ans.append(s[i])

print("".join(ans))