Python Day of the Week

Zeller's congruence is an algorithm developed by Christian Zeller to calculate the day of the week. The formula is

h = (q + 26(m+1)//10 + k + k//4 +j//4 +5j) % 7

where

• h is the day of the week (0: Saturday, 1: Sunday, 2: Monday, 3: Tuesday, 4: Wednesday, 5: Thursday, 6: Friday).
• q is the day of the month.
• m is the month (3: March, 4: April, ..., 12: December). January and February are counted as months 13 and 14 of the previous year.
• j is year//100.
• k is the year of the century (i.e., year % 100).

Write a program that prompts the user to enter a year, month, and day of the month, and then it displays the name of the day of the week.

Sample Run 1

Enter year: (e.g., 2008): 2013
Enter month: 1-12: 1
Enter the day of the month: 1-31: 25
Day of the week is Friday

Sample Run 2

Enter year: (e.g., 2008): 2012
Enter month: 1-12: 5
Enter the day of the month: 1-31: 12
Day of the week is Saturday

Hint: Use the // operator for integer division. January and February are counted as 13 and 14 in the formula, so you need to convert the user input 1 to 13 and 2 to 14 for the month and change the year to the previous year.