How Many Divisors?

How Many Divisors?

Write a program which reads three integers a, b and c, and prints the number of divisors of c between a and b.

Constraints

• 1 ≤ a, b, c ≤ 10000
• a ≤ b

Input

Three integers a, b and c are given in a line separated by a single space.

Output

Print the number of divisors in a line.

Example

Input

5 14 80

Output

3

inputFormat

Input

Three integers a, b and c are given in a line separated by a single space.

outputFormat

Output

Print the number of divisors in a line.

Example

Input

5 14 80

Output

3

样例

5 14 80

3