ZOJ Problem Set - 1868
World Wide Flyer has landing rights at several airports throughout the world.
They wish to place their central hub at the airport that minimizes the maximum
direct flying distance from the hub to any other airport in the world.
Input consists of a line containing n <= 1000, the number of airports. n lines follow, each giving the latitude (between -90 and +90 degrees) and longitude (between -180 and +180 degrees) of an airport.
Input contains multiple test cases. Process to the end of file.
To two decimal places, give the latitude and longitude of the airport that best serves as a hub. If there are several, choose the first one.
Source: University of Waterloo Local Contest 2000.01.29