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Score : $300$ points

### Problem Statement

You are given an integer $N$. Find the number of the positive divisors of $N!$, modulo $10^9+7$.

### Constraints

• $1≤N≤10^3$

### Input

The input is given from Standard Input in the following format:

$N$


### Output

Print the number of the positive divisors of $N!$, modulo $10^9+7$.

### Sample Input 1

3


### Sample Output 1

4


There are four divisors of $3!$ $=6$: $1$, $2$, $3$ and $6$. Thus, the output should be $4$.

### Sample Input 2

6


### Sample Output 2

30


### Sample Input 3

1000


### Sample Output 3

972926972