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.Scanner;

/**
 * Created by kjm81 on 2017-05-09.
 */
public class CodeForce414B {
    static int mod = 1000000007;
    static int N = 2123;
    static int[][] dp = new int[N][N];
    static int ans = 0;
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n, k;
        n = sc.nextInt();
        k = sc.nextInt();
        for(int i = 1; i <= n; ++i) dp[1][i] = 1;
        for(int i = 2; i <= k; ++i)
            for(int j = 1; j <= n; ++j)
                for(int l = j; l <= n; l += j)
                    dp[i][l] = (dp[i - 1][j] + dp[i][l]) % mod;
        int ans = 0;
        for(int i = 1; i <= n; ++i) ans = (ans + dp[k][i]) % mod;
        System.out.println(ans);
    }
}