Arthur's Table

King Arthur is known for believing that all knights are equal, and for his round table.

At the center is a serving platter (did Merlin invent the lazy Susan?).

Each knight has a circular trencher to eat from:

Unfortunately, Merlin accidentally called up a pre-shadow of George Orwell, and Arthur began muttering something like:

... but some knights are more equal than others ...

So Arthur asked Merlin to move the central serving platter a little away from him, so that he and his closest aides could have a little more room:

Merlin complained that every trencher and the central serving platter would have to be remade. Arthur, like a good leader, said, 'Deal with it.'

Write a program to help Merlin make the new trenchers and central serving platter. We describe the layout in a coordinate system with its origin at the center of the table, the $x$ axis pointing to Arthur's seat, and the $y$ axis perpendicular to the $x$ axis:

Input consists of a single line containing the diameter $D$ of the table in kingly feet (8 \le D \le 30), the number $N$ of knights to be seated (7 \le N \le 40), and the offset $O$ from the center of the table to the center of the central serving platter (0.1 \le O <$ the radius of an original trencher), given as a decimal number of kingly feet.

The output consists of five lines. The first line gives the radius of the central serving platter in kingly feet, to 3 decimal places, with center at $(-O, 0)$. Here the offset is the input $O$.

The next four lines each contain three space-separated floating-point values to 3 decimal places. These values are the $x$ coordinate of a trencher's center, the $y$ coordinate of the trencher's center, and the trencher's radius, all in kingly feet. The four lines give Arthur's trencher and the next three trenchers counter-clockwise from Arthur's, one set of values per line.