Problem B
Bounding Box
The Archeologists of the Current Millenium (ACM) now and
then discover ancient artifacts located at vertices of regular
polygons. (Recall that an
The moving sand dunes of the desert render the excavations difficult and thus once three vertices of a polygon are discovered there is a need to cover the entire polygon with protective fabric.
Input
Input contains multiple test cases, at most
Each case describes one polygon. It starts with an integer
The input ends with a dummy case having
Output
For each test case, output one line giving the smallest area
of a rectangle which can cover all the vertices of the polygon
and whose sides are parallel to the
Sample Input 1 | Sample Output 1 |
---|---|
4 10.00000 0.00000 0.00000 -10.00000 -10.00000 0.00000 6 22.23086 0.42320 -4.87328 11.92822 1.76914 27.57680 23 156.71567 -13.63236 139.03195 -22.04236 137.96925 -11.70517 0 |
400.0000000000 1056.1719423660 397.6729693617 |