The following program segment is designed to report which of the positive integers X and Y is larger. Is the program segment correct? Implement the program in Python, test the program segment to ensure it is correct using various inputs and answer the question. If this code needs to be corrected what would you add to fix it?

Difference = X- Y

if (Difference is positive)

print('X is bigger than Y')

else:

print('Y is bigger than X')