Description: Valera is a coder. Recently he wrote a funny program. The pseudo code for this program is given below: Now Valera wonders: given the values x, k and p, what is the expected value of the resulting number s? Input Format: The first line of the input contains three integers x, k, p (1 ≤ x ≤ 109; 1 ≤ k ≤ 200; 0 ≤ p ≤ 100). Output Format: Print the required expected value. Your answer will be considered correct if the absolute or relative error doesn't exceed 10 - 6. Note: If the concept of expected value is new to you, you can read about it by the link: http://en.wikipedia.org/wiki/Expected_value