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.*;
import java.awt.Point;
import java.io.*;
import java.math.BigInteger;

public class D1 
{
    FastScanner in;
    PrintWriter out;
    
    int mod = 1000000007;
    int dp[][];
    int n;
    int k;
    
    int func(int curValue, int index)
    {
        int sum = 0;
        
        if(index == k)
            return 1;
        else if(dp[curValue][index] != -1)
            return dp[curValue][index];
        else
        {
            for(int i = curValue; i <= n; i += curValue)
            {
                sum = (sum + func(i, index + 1)) % mod;
            }
        }
        
        dp[curValue][index] = sum;
        
        return sum;
    }
    
    public void solve() throws IOException 
    {
        n = in.nextInt();
        k = in.nextInt();
        
        dp = new int[n + 1][k + 1];
        
        for(int i = 0; i < n + 1; i++)
        {
            Arrays.fill(dp[i], -1);
        }
        
        int sum = 0;
        
        for(int i = 1; i <= n; i++)
        {
            sum = (sum + func(i, 1)) % mod;
        }
        
        out.print(sum);
    }

    public void run() {
        try {
            in  = new FastScanner();
            out = new PrintWriter(System.out);

            solve();

            out.close();
        } catch (IOException e) {
            e.printStackTrace();
        }
    }

    class FastScanner {
        BufferedReader br;
        StringTokenizer st;
        
        FastScanner() {
            
            br = new BufferedReader(new InputStreamReader(System.in));
        
        }

        FastScanner(File f) {
            try {
                br = new BufferedReader(new FileReader(f));
            } catch (FileNotFoundException e) {
                e.printStackTrace();
            }
        }

        String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() 
        {
            return Integer.parseInt(next());
        }
        
        long nextLong() 
        {
            return Long.parseLong(next());
        }
        
        double nextDouble() 
        {
            return Double.parseDouble(next());
        }
        
        int[] nextIntArray(int size) 
        {
            int[] array = new int[size];
            
            for (int i = 0; i < size; i++){
                array[i] = nextInt();
            }
            
            return array;
        }
        
        long[] nextLongArray(int size) 
        {
            long[] array = new long[size];
            
            for (int i = 0; i < size; i++){
                array[i] = nextLong();
            }
            
            return array;
        }
        
        BigInteger nextBigInteger() 
        {
            return new BigInteger(next());
        }
        
        Point nextIntPoint()
        {
            int x = nextInt();
            int y = nextInt();
            return new Point(x, y);
        }
        
        Point[] nextIntPointArray(int size)
        {
            Point[] array = new Point[size];
            
            for (int index = 0; index < size; ++index){
                array[index] = nextIntPoint();
            }
            
            return array;
        }
        
        List<Integer>[] readGraph(int vertexNumber, int edgeNumber, boolean undirected)
        {
            List<Integer>[] graph = new List[vertexNumber];
                    
            for (int index = 0; index < vertexNumber; ++index)
            {
                graph[index] = new ArrayList<Integer>();
            }
                    
            while (edgeNumber-- > 0)
            {
                int from = nextInt() - 1;
                int to   = nextInt() - 1;
                        
                graph[from].add(to);
                if(undirected)
                    graph[to].add(from);
            }
                    
            return graph;
        }
    }

    public static void main(String[] arg) 
    {
        new D1().run();
    }
}