Problem: Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's team. In order to join he was given some programming tasks and one week to solve them. Mashmokh is not a very experienced programmer. Actually he is not a programmer at all. So he wasn't able to solve them. That's why he asked you to help him with these tasks. One of these tasks is the following.

A sequence of l integers b1, b2, ..., bl (1 ≤ b1 ≤ b2 ≤ ... ≤ bl ≤ n) is called good if each number divides (without a remainder) by the next number in the sequence. More formally <image> for all i (1 ≤ i ≤ l - 1).

Given n and k find the number of good sequences of length k. As the answer can be rather large print it modulo 1000000007 (109 + 7).

Input

The first line of input contains two space-separated integers n, k (1 ≤ n, k ≤ 2000).

Output

Output a single integer — the number of good sequences of length k modulo 1000000007 (109 + 7).

Examples

Input

3 2


Output

5


Input

6 4


Output

39


Input

2 1


Output

2

Note

In the first sample the good sequences are: [1, 1], [2, 2], [3, 3], [1, 2], [1, 3].

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.*;
import java.util.*;


public class SolutionD {
	public static void main(String[] args){
		new SolutionD().run();
	}
	int dp[];
	int n, k;
	int mod = 1000000007;
	void solve(){
		n = in.nextInt();
		k = in.nextInt();
		dp = new int[n+1];
		dp[1] = 1;
		for(int i = 0; i < k; ++i){
			for(int j = n; j > 0; --j){
				for(int t = j + j; t <= n; t += j){
					dp[t] += dp[j];
					if( dp[t] >= mod) dp[t]-=mod;
				}
			}
		}
		int ans = 0;
		for(int  i = 1; i <= n; i++){
			ans += dp[i];
			if(ans >= mod) ans-=mod;
		}
		out.println(ans);
	}
	PrintWriter out;
	FastScanner in;
	public void run(){
		in = new FastScanner(System.in);
		out = new PrintWriter(System.out);
		solve();
		out.close();
	}
	class FastScanner{
		BufferedReader bf;
		StringTokenizer st;
		public FastScanner(InputStream is){
			bf = new BufferedReader(new InputStreamReader(is));
		}
		String next(){
			while(st == null || !st.hasMoreTokens()){
				try{
					st = new StringTokenizer(bf.readLine());
				}
				catch(Exception ex){
					ex.printStackTrace();
				}
			}
			return st.nextToken();
		}
		int nextInt(){
			return Integer.parseInt(next());
		}
		long nextLong(){
			return Long.parseLong(next());
		}
		double nextDouble(){
			return Double.parseDouble(next());
		}
		float nextFloat(){
			return Float.parseFloat(next());
		}
		BigInteger nextBigInteger(){
			return new BigInteger(next());
		}
		BigDecimal nextBigDecimal(){
			return new BigDecimal(next());
		}	
		int[] nextArray(int n){
			int x[] = new int[n];
			for(int i = 0; i < n; i++){
				x[i] = Integer.parseInt(next());
			}
			return x;
		}
	}
}