Problem

(a) Write a program that will print the calendar of the current year.

(b) Modify the program so that it will read a year number and print the calendar for that year. A year is a leap year (that is, February has 29 instead of 28 days) if it is a multiple of 4, except that century years (multiples of 100) are leap years only when the year is divisible by 400. Hence the year 1900 is not a leap year, but the year 2000 is a leap year.

(c) Modify the program so that it will accept any date (day, month, year) and print the day of the week for that date.

(d) Modify the program so that it will read two dates and print the number of days from one to the other.

(e) Using the rules on leap years, show that the sequence of calendars repeats exactly every 400 years.

(f) What is the probability (over a 400-year period) that the 13th of a month is a Friday? Why is the 13th of the month more likely to be a Friday than any other day of the week? Write a program to calculate how many Friday the 13ths occur in this century