Arctic Foxes#2895

Arctic Foxes

1 second
256 megabytes
Very easy

In the Nordland National Reserve, there are arctic foxes, each with a fluffiness level that is uniformly distributed between and . Recently, the Nordland National Zoo has requested the m \le n fluffiest foxes (where m = k + l) to be part of a special exhibition.

The zoo decides to split these foxes into two groups for separate enclosures: the least fluffy foxes among the will be placed in the "Playful Cubs" enclosure, while the remaining k = m - l fluffiest foxes will be placed in the "Fluffy Stars" enclosure. The zoo would like to know the average fluffiness level in each enclosure. Your task is to write a program that calculates these two average fluffiness values.

Assume that the fluffiness of each fox is independent.

Input

Three integers , , and (1 \le n, k, l \le 10^8, and k + l \le n).

Output

Output two numbers: the first is the average fluffiness of the foxes in the "Fluffy Stars" enclosure, and the second is the average fluffiness of the foxes in the "Playful Cubs" enclosure. Print the numbers with a precision of at least decimal places.

Examples

Example 1

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