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.awt.geom.*;
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.regex.*;
import static java.lang.Math.*;
public class B {

    public static final int MOD = 1000000007;

    public B() throws Exception {
        int n = in.nextInt();
        int k = in.nextInt();
        int[][] memo = new int[k+1][n+1];
        for (int j=1; j<=n; j++) memo[1][j] = 1;
        for (int i=1; i<k; i++) {
            for (int j=1; j<=n; j++) {
                for (int p=j; p<=n; p+=j) {
                    memo[i+1][p] = (memo[i+1][p]+memo[i][j])%MOD;
                }
            }
        }

        long ans = 0;
        for (int j=1; j<=n; j++) ans += memo[k][j];
        System.out.println(ans%MOD);
    }

    public static Scanner in = new Scanner(System.in);
    public static StringBuilder buf = new StringBuilder();
    public static void debug(Object... arr) { // {{{
        System.err.println(Arrays.deepToString(arr));
    } // }}}
    public static void main(String[] args) throws Exception { // {{{
        new B();
        System.out.print(buf);
    } // }}}
}