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;
const int N = 2e5+10;
char e[N*2];
int idx,n,k;;
void solve()
{
    for(int i=0;i<k;i++)
    {
        e[++idx]='a'+i;
        for(int j=i+1;j<k;j++)
        {
            e[++idx]='a'+i;
            e[++idx]='a'+j;
        }
    }
    int len=idx;
    idx=1;
    for(int i=1;i<=n;i++)
    {
        printf("%c",e[idx++]);
        if(idx>len) idx=1;
    }
    
}
int main()
{
    scanf("%d%d", &n, &k);
    solve();
    return 0;
}

