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 PYTHON3):

Solution:
from sys import stdin, stdout

def main():
    n, k  = [int(x) for x in stdin.readline().rstrip().split()]
    

    table = [[0] * (n + 1) for _ in range(k + 1)]
    table[1][1:] = [1] * (n)

    MOD = int(1e9 + 7)
    for i in range(2, k + 1): 
        for j in range(1, n + 1):
            for k in range(j, n + 1, j):
                table[i][k] += table[i - 1][j]
                table[i][k] %= MOD

    print((sum(table[-1])) % MOD)
 

if __name__ == '__main__':
    main()