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.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.RoundingMode;
import java.util.*;

public class Solution implements Runnable {
  BufferedReader in;
  PrintWriter out;
  StringTokenizer tok = new StringTokenizer("");

  @Override
  public void run() {
    try {
      init();
    } catch (FileNotFoundException e) {
      e.printStackTrace();
    }
    long time = System.currentTimeMillis();
    try {
      solve();
    } catch (Exception e) {
      e.printStackTrace();
      System.exit(-1);
    }
    out.close();
    //System.err.println(System.currentTimeMillis() - time);
  }

  private void init() throws FileNotFoundException {
    String file = "";
    if (!file.equals("")) {
      in = new BufferedReader(new FileReader("road.in"));
      out = new PrintWriter("road.out");
    } else {
      in = new BufferedReader(new InputStreamReader(System.in));
      out = new PrintWriter(System.out);
    }
  }

  public static void main(String[] args) {
    new Thread(new Solution()).start();
  }

  private String readString() {
    while (!tok.hasMoreTokens()) {
      try {
        tok = new StringTokenizer(in.readLine());
      } catch (IOException e) {
        e.printStackTrace();
      }
    }
    return tok.nextToken();
  }

  private int readInt() {
    return Integer.parseInt(readString());
  }

  private long readLong() {
    return Long.parseLong(readString());
  }

  private double readDouble() {
    return Double.parseDouble(readString());
  }

  long mod = (long) (1e9 + 7);

  private void solve() throws IOException {
    int n = readInt();
    int k = readInt();
    long[][] dp = new long[k + 1][n + 1];
    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][j] += dp[i - 1][l];
          dp[i][j] %= mod;
        }
      }
    }
    long ans = 0;
    for (int i = 1; i <= n; i++) {
      ans += dp[k][i];
      ans %= mod;
    }
    out.print(ans);
  }


}