Problem:
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

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

MOD = 10 ** 9 + 7
n = int(input())

res = 1
ex = [0 for _ in range(n + 1)]
for i in range(1, n + 1):
    for j in range(2, i + 1):
        if i % j == 0:
            while i % j == 0:
                ex[j] += 1
                i //= j

ans = 1
for i in range(n):
    ans *= (ex[i] + 1)
    ans %= MOD

print(ans)