On time for Exam V2

import math

test_hour = int(input())
test_minutes = int(input())
arrival_hour = int(input())
arrival_minutes = int(input())

test_time = int(test_hour) * 60 + int(test_minutes)  # convert test time in to minutes
arrival_time = int(arrival_hour) * 60 + int(arrival_minutes)  # convert arrival time in to minutes

time_difference = test_time - arrival_time  # compare test time and arrival time
time = abs(time_difference)

if time_difference < 0:  # student is late
    print("Late")
    if 0 <= time < 60:  # student is late within 60 minutes
        print(time, "minutes after the start")
    else:  # student is late more than 60 minutes
        hours_late = abs(test_hour - arrival_hour)
        minutes_late = abs(test_minutes - arrival_minutes)
        if minutes_late < 10:  # if student is late up to 10 minutes
            print(f"{hours_late}:0{minutes_late} hours after the start")
        else:
            print(f"{hours_late}:{minutes_late} hours after the start")
elif time_difference == 0:  # if student is exactly on time
    print("On time")
elif 0 < time_difference <= 30:  # if student is earlier within 30 minutes
    print("On time")
    print(time, "minutes before the start")
else:  # if student is earlier more than 30 minutes
    if 30 < time < 60:
        print("Early")
        print(time, "minutes before the start")
    else:
        hours_before = math.ceil(test_time - arrival_time)//60
        minutes_before = (test_time - arrival_time) % 60
        if minutes_before < 10:
            print("Early")
            print(f"{hours_before}:0{minutes_before} hours before the start")
        else:
            print("Early")
            print(f"{hours_before}:{minutes_before} hours before the start")