code in javaProject $2$: Zeller's Algorithm

$($Zeller$.$java$)$

Write a Java program for Zeller's Algorithm, which can be used to determine the day of the week for any date

in the past, present, or future.

The program should request the user to enter the date values $($month$,$ day, and year$).$ Next, the program should

apply the algorithm $($see below$),$ and display the appropriate day of the week. The program should loop until the

user enters $0$ for a month. Use the pre$-$test while loop with a sentinel$-$value structure. See Listing $4\mathrm{.}6$ from

the textbook for an example of this type of structure. Do not use any exit, break, or boolean variable.

In addition, validate that the month is between $0$ and $12,$ and that day is between $1$ and $31.$ Use the while loop

structure for error checking. Do not use any other method or algorithm to solve this problem. See listing $4\mathrm{.}7$

for an example of this type of loop.

Algorithm:

The formula is:

$G=([2\mathrm{.}6M-\mathrm{.}2]+K+D+[\frac{D}{4}]+[\frac{C}{4}]-2C)mod7$

where:

M: is the month number

K : is the day of the month

C : is the century number

D : is the year number

explanations:

M: March is considered month $1$ and February is considered month $12.$ Therefore,

January and February are considered to be part of the previous year.

C: Is the first two digits of the year

D: Is the last two digits of the year

G : If this value is less than $0,$ add a value of $7$ to G

You need to cast the following expression as an integer: $[2\mathrm{.}6$ M$-\mathrm{.}2]$

examples: