Marie invented a Time Machine and wants to test it by time-traveling to visit Russia on the Day of the Programmer (the day of the year) during a year in the inclusive range from to .
From to , Russia's official calendar was the Julian calendar; since they used the Gregorian calendar system. The transition from the Julian to Gregorian calendar system occurred in , when the next day after January was February . This means that in , February was the day of the year in Russia.
In both calendar systems, February is the only month with a variable amount of days; it has days during a leap year, and days during all other years. In the Julian calendar, leap years are divisible by ; in the Gregorian calendar, leap years are either of the following:
- Divisible by .
- Divisible by and not divisible by .
Given a year, , find the date of the day of that year according to the official Russian calendar during that year. Then print it in the format dd.mm.yyyy
, where dd
is the two-digit day, mm
is the two-digit month, and yyyy
is .
For example, the given . is divisible by , so it is a leap year. The day of a leap year after is September 12, so the answer is .
Function Description
Complete the dayOfProgrammer function in the editor below. It should return a string representing the date of the day of the year given.
dayOfProgrammer has the following parameter(s):
- year: an integer
Input Format
A single integer denoting year .
Constraints
Output Format
Print the full date of Day of the Programmer during year in the format dd.mm.yyyy
, where dd
is the two-digit day, mm
is the two-digit month, and yyyy
is .
Sample Input 0
2017
Sample Output 0
13.09.2017
Explanation 0
In the year , January has days, February has days, March has days, April has days, May has days, June has days, July has days, and August has days. When we sum the total number of days in the first eight months, we get . Day of the Programmer is the day, so then calculate to determine that it falls on day of the month (September). We then print the full date in the specified format, which is 13.09.2017
.
Sample Input 1
2016
Sample Output 1
12.09.2016
Explanation 1
Year is a leap year, so February has days but all the other months have the same number of days as in . When we sum the total number of days in the first eight months, we get . Day of the Programmer is the day, so then calculate to determine that it falls on day of the month (September). We then print the full date in the specified format, which is 12.09.2016
.
Sample Input 2
1800
Sample Output 2
12.09.1800
Explanation 2
Since 1800 is leap year. Day lies on 12 September.
답 :
그레고리력과 줄리안 캘린더로 갈리는 1918년을 기준으로 나눠야 한다. 그리고 그 이전은 4로 나뉘어져야하고 그 이후는 400로 나뉘어야하고, 4로 나뉘지만 100으로 나눠지면 안된다.