On Time for the Exam

import math
hour = int(input())
min = int(input())
arrivedhour = int(input())
arrivedmin = int(input())
exam_time = hour * 60 + min
arrived_time = arrivedhour * 60 + arrivedmin
time_difference = abs(arrived_time-exam_time)

if arrived_time == exam_time:
    print("On time")
elif arrived_time < exam_time and time_difference <= 30:
    print("On time")
    print(f"{time_difference} minutes before the start")

elif arrived_time < exam_time and time_difference > 30 and time_difference < 60:
    print("Early")
    print(f"{time_difference} minutes before the start")

elif arrived_time < exam_time and time_difference >= 60:
    print("Early")
    hours = math.floor(abs(arrived_time - exam_time) // 60)
    minutes = abs(arrived_time - exam_time) % 60
    if minutes < 10:
        print(f"{hours}:0{minutes} hours before the start")
    else:
        print(f"{hours}:{minutes} hours before the start")

elif arrived_time > exam_time:
    print("Late")
    if abs(arrived_time-exam_time) < 60:
        print(f"{abs(arrived_time-exam_time)} minutes after the start")
    else:
        hours = math.floor(abs(arrived_time-exam_time)//60)
        minutes = abs(arrived_time-exam_time) %60
        if minutes < 10:
            print(f"{hours}:0{minutes} hours after the start")
        else:
            print(f"{hours}:{minutes} hours after the start")