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>
const int N=2e5+10;
using namespace std;
string s;
int n,k;
void solve(char l,char r)
{
	for(auto i=l;i<=r;i++)
	{
		for(auto j=i;j<=r;j++)
		{
			s=s+j;
			if(j!=r) s+=i;
		}
	}	
}

int main()
{
	cin>>n>>k;
	int c='a'+k-1;
	solve('a',c);
	int len=s.length();
	for(int i=0;i<n;i++)
	cout<<s[i%len];
	return 0;

}