Marie invented a Time Machine and wants to test it by time$-$traveling to visit Russia on the Day of the

Programmer $($the $256$th day of the year$)$ during a year in the inclusive range from $1700$ to $2700.$

From $1700$ to $1917,$ Russia's official calendar was the Julian calendar; since $1919$ they used the

Gregorian calendar system. The transition from the Julian to Gregorian calendar system occurred in

$1918,$ when the next day after January $31$st was February $14$th$.$ This means that in $1918,$ February $14$th

was the $32$nd day of the year in Russia.

In both calendar systems, February is the only month with a variable amount of days; it has $29$ days

during a leap year, and $28$ days during all other years. In the Julian calendar, leap years are divisible by

$4$; in the Gregorian calendar, leap years are either of the following:

Divisible by $400.$

Divisible by $4$ and not divisible by $100.$

Given a year, $y,$ find the date of the $256$th 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 $y.$

For example, the given year $=1984\mathrm{.}1984$ is divisible by $4,$ so it is a leap year. The $256$ th day of a leap

year after $1918$ is September $12,$ so the answer is $12\mathrm{.}09.1984.$

Function Description

Complete the dayOfProgrammer function in the editor below. It should return a string representing the

date of the $256$ th day of the year given.

dayOfProgrammer has the following parameter$($s$)$:

year: an integer Input Format

A single integer denoting year $y.$

Constraints

$1700$ le y $\frac{\frac{?}{?}}{?}$ le $2700$

Output Format

Print the full date of Day of the Programmer during year $y$ in the format dd$.$mm$.$yyyy$,$ where dd is the

two$-$digit day, mm is the two$-$digit month, and yyyy is $y.$

Explanation $0$

In the year $y=2017,$ January has $31$ days, February has $28$ days, March has $31$ days, April has $30$ days,

May has $31$ days, June has $30$ days, July has $31$ days, and August has $31$ days. When we sum the total

number of days in the first eight months, we get $31+28+31+30+31+30+31+31=243.$ Day of the

Programmer is the $256$ th day, so then calculate $256-243=13$ to determine that it falls on day $13$ of the

$9$th month $($September$).$ We then print the full date in the specified format, which is $13\mathrm{.}09\mathrm{.}2017.$ Explanation $1$

Year $y=2016$ is a leap year, so February has $29$ days but all the other months have the same number of

days as in $2017.$ When we sum the total number of days in the first eight months, we get $31+29+31+$

$30+31+30+31+31=244.$ Day of the Programmer is the $256$ th day, so then calculate $256-244=12$ to

determine that it falls on day $12$ of the $9$ th month $($September$).$ We then print the full date in the

specified format, which is $12\mathrm{.}09\mathrm{.}2016.$

Explanation $2$

Since $1800$ is leap year as per Julian calendar. Day lies on $12$ September.

Solve the problem in python programming language and show all steps and formula $...$