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,heapq,math
from collections import defaultdict
input=sys.stdin.readline
 
 
 
n,k=map(int,input().split())
countarr=[[0 for _ in range(k)] for _ in range(k)]
res=['a']  #'a'->97
for i in range(1,n):
    row=ord(res[-1])-97
    mini=float('inf')
    col=-1
    for j in range(k):
        if(countarr[row][j]<=mini):
            mini=countarr[row][j]
            col=j
    res.append(chr(97+col))
    countarr[row][col]+=1
print("".join(res))