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.util.*;
public class TestClass{
    static long N=1000000007;
    public static void main(String[] args)
    {
        long dp[][] = new long[2001][2001];
        Scanner sc=new Scanner(System.in);
        long n,k;
        n=sc.nextLong();
        k=sc.nextLong();
        for(int i=1;i<=n;++i)
        {
            dp[1][i]=1;
        }
        for(int i=2;i<=k;++i)
        {
            for(int ele=1;ele<=n;++ele)
            {
                for(int j=ele;j<=n;j+=ele)
                {
                    dp[i][j]+=dp[i-1][ele];
                    dp[i][j]%=N;
                }
            }
        }
        long ans=(long)0;
        for(int i=1;i<=n;++i)
        {
            ans+=dp[(int)k][i];
            ans%=N;
        }
        System.out.println(ans);
    }
}