In short words Prompt user for city count & coordinates.Store coordinates using data structures.Calculate distances between cities (nested loop).Identify central city with shortest total distance.Display central city's coordinates and total distance.Implement modular code structure with functions.Ensure user-friendly input/output.Handle errors (non-numeric or negative inputs).Validate accuracy by testing with varied inputs.Document code with comments for clarity.
Input Gathering:
Prompt the user to enter the number of cities and their respective coordinates (x, y) using standard input.
Data Storage:
Create data structures to store the coordinates of all cities entered by the user, possibly arrays or lists.
Distance Calculation:
Use a nested loop to calculate the distance from each city to all other cities using the distance formula (e.g., Euclidean distance: √((x2 - x1)^2 + (y2 - y1)^2)).
Central City Identification:
For each city, sum up the distances to all other cities. Identify the city with the shortest total distance as the central city.
Output:
Display the coordinates of the central city and its total distance to all other cities.
Program Design Consideration:
Implement functions or methods for modular code structure (e.g., a function to calculate distance, another to find the central city).
User Interaction:
Ensure user-friendly prompts for input and clear output to display the central city and its total distance.
Error Handling:
Include error handling for incorrect inputs (such as non-numeric inputs or negative city coordinates).
Testing:
Test the program with different input scenarios to validate its accuracy.
Documentation:
Add comments or documentation within the code to explain the logic and functionality for better understanding.
By following these steps, you can create a program that prompts the user for city coordinates, computes distances, identifies the central city, and displays its total distance to all other cities based on their coordinates.