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
#include <bits/stdc++.h>
using namespace std;
int main()
{
	int n,k;
	cin>>n>>k;
	string s="";
	for(int i = 0;i<k;i=i+1)
    {
        for(int j = i;j<k;j=j+1)
        {
            s += 'a' + i;
            if(i != j)
            {
                s += 'a' + j;
            }
        }
    }
	for(int i=0;i<n;i++)
    {
        cout<<s[i%s.size()];
    }
    return 0;
}
