Chapter 3, Problem 33PE

(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 $h=\left(q+\frac{26(m+1)}{10}+k+\frac{k}{4}+\frac{j}{4}+5j\right)\%7$ 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 the century $(\text{i}\text{.e}\text{.,}\frac{year}{100}).$

$■$ k is the year of the century $\left(\text{i}.\text{e}\text{., year}\%100\right).$

Note that the division in the formula performs an integer division. Write a program that prompts the user to enter a year, month, and day of the month, and displays the name of the day of the week.