CSCI $2170$ OLA $1$

Write a C$++$ program that, given a person's birth date, computes and displays the day of the week the person was born. The description of the assignment is given below.

Check for User inputs

Your program should first check for user inputs. If the date entered is not a valid, send out an error message as shown in the example below:

$1372001=>$ Incorrect Data

If the date entered is valid, proceed to compute for the corresporiding week of the day.

Determine the day of the week one was born

We use the formula called: Zeller's Rule to compute the day of the week for a person's birthday. The following formula is named Zeller's Rule after a Reverend Zeller. Here's the formula:

$f=d+\frac{13**m-1}{5}+D+\frac{D}{4}+\frac{C}{4}-2**C.,$larr declare all variables to be of integer type

d is the day of the month. Let's use January $29,2064$ as an example. For this date, $d=29.$

$m$ is the month number. Months have to be counted in a special way for Zeller's Rule: March is $1,$ April is $2,$ and so on to January is $11,$ and February is $12.($This makes the formula simpler, because on leap years February $29$ is counted as the last day of the year.$)$ Because of this rule, January and February are always counted as the $11$ th and $12$ th months of the previous year. In our example, $m=11.($use multiway if statement to compute the m value based on month$)$

If the original birth month is January or February: subtract $1$ from the year value. In our case, birth month is January, therefore, modified year $=$ year $-1=2064-1=2063.$

For all other birthday months, do not subtract $1$ from the birth year, i$.$e$.,$ modified year $=$ year.

$D$ is the last two digits of the modified year. In this example, $D=$ modified year $\%100=2063\%100=63.$

C stands for century: it's the first two digits of the modified year value. In our case, $C=\frac{2063}{100}=20.$