Mr. Arnold Gerald Nostik is in charge of the design of the main rose window of the new cathedral in his town. The rose window is circular, \textbf{2r} units wide. Since Mr. A. G. Nostik knows little about Virgins, Saints and Angels, he is thinking about a geometric pattern: Let \textbf{n} be an even integer number, at least \textbf{4}. Mr. Nostik plans to pick \textbf{n} points, each at distance\textbf{ r} of the center of the window, these points being the vertices of a regular polygon. (The next page shows an example with \textbf{n} = \textbf{8}.) These points are to be joined with straight lines, and the resulting regions colored as shown in the example. (The colors of the example are arbitrary.) Note that for \textbf{n} = \textbf{8} there are four regions. We number these regions \textbf{1}, \textbf{2}, \textbf{3} and \textbf{4} starting to count from the center of the rose. In general, there are \textbf{n}/\textbf{2} regions. Write a program to help Mr. Nostik to know how much glass of every color he needs in order to build a given rose window. \InputFile The first line contains number of test cases \textbf{t.} \textbf{t} lines follow, each with a real number \textbf{r} (\textbf{1} ≤ \textbf{r} ≤ \textbf{100}), an even integer \textbf{n} (\textbf{4} ≤ \textbf{n} ≤ \textbf{40}), and \textbf{k} (\textbf{1} ≤ \textbf{k} ≤ \textbf{n} / \textbf{2}). \OutputFile For every combination of \textbf{r}, \textbf{n} and \textbf{k}, print the area (in square units) of the \textbf{k}-th region of a rose window, rounded to four decimal digits. \includegraphics{https://static.e-olymp.com/content/b5/b5ca4332292feed4fd2dc7dcf29bbbff58a84618.jpg} \includegraphics{https://static.e-olymp.com/content/ec/ecbbc755403cd20e86d9bd9a1c6a3fddda427397.jpg} \includegraphics{https://static.e-olymp.com/content/2f/2fb33d6e14d7b488df93468200da2f9ddafe6ad5.jpg}