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*?
The first line of the input contains three integers *x*, *k*, *p* (1 ≤ *x* ≤ 10<sup class="upper-index">9</sup>; 1 ≤ *k* ≤ 200; 0 ≤ *p* ≤ 100).
print("_RANDOM_GUESS_1689649774.372812")# 1689649774.3728304