$($Central city$)$

Given a set of cities, the central city is the city that has the shortest total distance to all other cities.

Write a program that prompts the user to enter the number of the cities and the locations of the cities $($coordinates$),$ and finds the central city and its total distance to all other cities.

Sample Run

Enter the number of cities: $5$

Enter the coordinates of the cities: $2\mathrm{.}555\mathrm{.}13195\mathrm{.}4545\mathrm{.}52\mathrm{.}1$

The central city is at $(2\mathrm{.}5,5\mathrm{.}0)$

The total distance to all other cities is $60\mathrm{.}81$

Class Name: Exercise$08\_21$