Arctic Foxes
In the Chukotka National Reserve, there are n arctic foxes, each with a fluffiness level ranging uniformly from 0 to 1. Recently, the Chukotka National Zoo has requested the m ≤ n fluffiest foxes.
The Society for the Protection of Nature has learned that only l of the least fluffy foxes will be shown in the zoo, while the remaining k = m - l fluffiest foxes will be used to make coats for the zoo's leaders. The Society intends to take legal action against the zoo and requires information about the foxes that will be killed and those that will remain alive. Specifically, they need an estimate of the average fluffiness for each group. Your task is to write a program that calculates these two average fluffiness values.
Assume that the fluffiness of each fox is independent.
Input
The input consists of three integers n, k, and l (1 ≤ n, k, l ≤ 10^8).
Output
Output two numbers: the first is the average fluffiness of the foxes that will be killed, and the second is the average fluffiness of the foxes that will be displayed in the zoo. Ensure the numbers are printed with a precision of at least 6 decimal places.