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;

void solve() {
	int n, k;
	cin >> n >> k;
	string caras = "";
	for (char f = 'a'; f <= char('a' + k - 1); f++) {
		for (char s = f; s <= char('a' + k - 1); s++) {
			caras += s;
			if (s == char('a' + k - 1)) 
				continue;
			caras += f;
		}
	}
	int m = (int) caras.size();
	for (int i = 0; i < n; i++) {
		cout << caras[i % m];
	}
	cout << '\n';
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	int tt = 1;
	// scanf("%d", &tt);
	while (tt--) {
		solve();
	}
	return 0; 
}