We all know about prime numbers, prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

We can classify the numbers by its number of divisors, as n-divisors-numbers, for example number 1 is 1-divisor number, number 4 is 3-divisors-number... etc.

Note: All prime numbers are 2-divisors numbers.

Example: 8 is a 4-divisors-number [1, 2, 4, 8].

Input

Three integers a, b, n.

Output

Print single line the number of n-divisors numbers between a and b inclusive.

Example

Input:
1 7 2
Output:
4

Constraints

1 ≤ a, b ≤ 10⁹
0 ≤ b - a ≤ 10⁴
1 ≤ n ≤ 100