112 Chapter 3 Selections Comprehensive *3.2 (Science: day of the week) Zeller's congruence is an algorithm developed by Christian Zeller to calculate the day of the week. The formula is 26(m + 1) 10 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. year J is the century (i.e 100 k is the year of the century (i.e., year % 100) Note that the division in the formula performs an integer division. Write a pro- gram that prompts the user to enter a year, month, and day of the month, and displays the name of the day of the week. Here are some sample runs Enter year: (e.g., 2012): 2015 Enter Enter month: 1-12: 1 Enter Enter the day of the month: 1-31: 25 Enter Day of the week is Sunday Enter year: (e.g., 2012): 2012 Enter Enter month: 1-12: 5 Enter Enter the day of the month: 1-31: 12 Enter Day of the week is Saturday (Hint 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.)