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.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;


public class MashmockAndACM_CF414B {
	static int memo[][];
	static final int mod= (int)1e9+7;
	static int n;
	static int dp(int now, int rem){
		if(rem==0)
			return 1;
		if(memo[now][rem]!=-1)
			return memo[now][rem];
		long result=0;
		for(int i=1; now*i<=n; i++)
			result= (result+ dp(now*i,rem-1))%mod;
		return memo[now][rem]=(int)result;
	}
	
	public static void main(String[] args) {
		Scanner sc= new Scanner(System.in);
		n= sc.nextInt();
		int k= sc.nextInt();
		memo= new int [n+1][k];
		long result=0;
		for(int i=0; i<=n; i++)
			Arrays.fill(memo[i], -1);
		for(int i=1; i<=n; i++){
			result= (result+ dp(i,k-1))%mod;
		}
		PrintWriter out= new PrintWriter(System.out);
		out.println(result);
		out.flush();
		out.close();
	}

}