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.BufferedInputStream;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.StringTokenizer;

public class Main
{

	private static BufferedReader in;
	private static BufferedWriter out;

	public static void main(String... args) throws IOException
	{
		// streams
		boolean file = false;
		if (file)
			in = new BufferedReader(new FileReader("input.txt"));
		else
			in = new BufferedReader(new InputStreamReader(System.in));
		out = new BufferedWriter(new OutputStreamWriter(System.out));
		StringTokenizer tok;

		// read input
		tok = new StringTokenizer(in.readLine());
		int n = Integer.parseInt(tok.nextToken());
		int k = Integer.parseInt(tok.nextToken());
		int mod = 1000000007 ;
	
		// make the base cases
		long ans[][] = new long[k+1][n+1];
		for (int i = 1; i <= n; i++)
			ans[1][i] = 1l;
		
		// solve
		for (int l = 2; l <= k; l++)
			for (int i = 1; i <=n; i++)
				for (int j = i; j <= n; j+= i)
					ans[l][j] = (ans[l][j] +  ans[l-1][i]) % mod;
		
		// sum
		long sum = 0;
		for (int i = 1; i <= n; i++)
			sum = (sum + ans[k][i]) % mod;
		
		System.out.println(sum % mod);
		out.flush();
	}

}