Maxim and Calculator

4000ms

262144K

Description:

Maxim has got a calculator. The calculator has two integer cells. Initially, the first cell contains number 1, and the second cell contains number 0. In one move you can perform one of the following operations:

Let's assume that at the current time the first cell contains number a, and the second cell contains number b. Write to the second cell number b + 1;
Let's assume that at the current time the first cell contains number a, and the second cell contains number b. Write to the first cell number a·b.

Maxim is wondering, how many integers x (l ≤ x ≤ r) are there, such that we can write the number x to the first cell of the calculator, having performed at most p moves.

Input:

The first line contains three integers: l, r, p (2 ≤ l ≤ r ≤ 10⁹, 1 ≤ p ≤ 100).

The numbers in the line are separated by single spaces.

Output:

In a single line print a single integer — the answer to the problem.

Sample Input:

2 10 3

Sample Output:

Sample Input:

2 111 100

Sample Output:

Sample Input:

2 111 11

Sample Output:

Informação

Provedor Codeforces

Código CF261E