Definition:Leap Year

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The number of days in a year is not an integer, but lies somewhere between $365$ and $366$.

However, it is convenient to assign an integer number of days to any given year.

It is also desirable to ensure that a particular day of the year occurs at approximately the same time each year.

In the Julian and Gregorian calendars:

some years are assigned $365$ days


some years are assigned $366$ days.

The years which have $366$ days are called leap years.