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 JAVA):

Solution:
import java.io.*;
import java.util.*;
public class Main {
	static int len(long n) {
		return Long.toString(n).length();
	}
	public static void main(String[] args) throws IOException 
	{ 
		FastScanner f = new FastScanner(); 
		int t=1;
//		t=f.nextInt();
		PrintWriter out=new PrintWriter(System.out);
		for(int tt=0;tt<t;tt++) {
			int n= f.nextInt();
			int k= f.nextInt();
			HashMap<Integer,ArrayList<Integer>> h=new HashMap<>();
			for(int i=0;i<k;i++) {
				ArrayList<Integer> arr=new ArrayList<>();
				if(i==0) arr.add(i);
				for(int j=k-1;j>i;j--) {
					arr.add(i);
					arr.add(j);
				}
				if(i==k-1) arr.add(k-1);
				h.put(i, arr);
			}
			ArrayList<Integer> arr=new ArrayList<>();
			for(int j=k-2;j>0;j--) {
				arr.add(j);
			}
			h.put(k, arr);
			char[] ans=new char[n];
			int ind=0;
			while(ind<n) {
				for(ArrayList<Integer> i:h.values()) {
					for(int c:i) {
						ans[ind]=(char)('a'+c);
						ind++;
						if(ind==n) break;
					}
					if(ind==n) break;
				}
			}
			out.println(ans);
		}
		out.close();
	} 
	static void sort(long[] p) {
        ArrayList<Integer> q = new ArrayList<>();
        for (long i: p) q.add((int) i);
        Collections.sort(q);
        for (int i = 0; i < p.length; i++) p[i] = q.get(i);
    }
    
	static class FastScanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
		String next() {
			while (!st.hasMoreTokens())
				try {
					st=new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			return st.nextToken();
		}
		
		int nextInt() {
			return Integer.parseInt(next());
		}
		int[] readArray(int n) {
			int[] a=new int[n];
			for (int i=0; i<n; i++) a[i]=nextInt();
			return a;
		}
		long nextLong() {
			return Long.parseLong(next());
		}
		double nextDouble() {
			return Double.parseDouble(next());
		}
		long[] readLongArray(int n) {
			long[] a=new long[n];
			for (int i=0; i<n; i++) a[i]=nextLong();
			return a;
		}
	}
} 	
//Some things to notice
//Check for the overflow
//Binary Search
//Bitmask
//runtime error most of the time is due to array index out of range