A long time ago, Julius and Augustus were trying to renew the calendar system. They got into an argument. They couldn't agree on how many days should be there in a month. According to Augustus, a number should be possible to be constructed from any date of the year by adding the number of the month to the number of the day. with that logic, December 21st would become the number 33, since December is the twelfth month, and 21 + 12 = 33. March 23 would become 26, and so on. Hearing this, Julius was a puzzle. He wondered how many different numbers can be made using dates of a regular calendar. What would be the number?
Answers
The Julian calendar, proposed by Julius Caesar in AUC 708 (46 BC), was a reform of the Roman calendar.[1] It took effect on 1 January AUC 709 (45 BC), by edict. It was designed with the aid of Greek mathematicians and astronomers such as Sosigenes of Alexandria.
The calendar became the predominant calendar in the Roman Empire and subsequently most of the Western world for more than 1,600 years until 1582, when Pope Gregory XIII promulgated a minor modification to reduce the length of the average year from 365.25 days to 365.2425 days and thus corrected the Julian calendar's drift against the solar year. Worldwide adoption of this revised calendar, which became known as the Gregorian calendar, took place over the subsequent centuries, first in Catholic countries, and subsequently in Protestant countries of the Western Christian world.
The Julian calendar is still used in parts of the Eastern Orthodox Church and in parts of Oriental Orthodoxy as well as by the Berbers.[2]
The Julian calendar has two types of years: a normal year of 365 days and a leap year of 366 days. They follow a simple cycle of three normal years and one leap year, giving an average year that is 365.25 days long. That is more than the actual solar year value of 365.24219 days, which means the Julian calendar gains a day every 128 years. For any given event during the years from 1901 to 2099 inclusive, its date according to the Julian calendar is 13 days behind its corresponding Gregorian date.