Write a function to determine the day of the week a person was born given his or her birthday. The following steps should be used to find the day of the week corresponding to any date from $1901$ through the present.

In the following explanation, the following terms will be helpful. Assuming I type in my birthday as $"6101981"$:

The month is $6.$

The day of the month is $10.$

The year is $1981.$

Find the number of years since $1900,$ and put it into a variable called yy$.$ Simply subtract $1900$ from the year to get this.

Divide the number of years since $1900$ by $4.$ Put the quotient in a variable called total. For example, if the person was born in $1983,$ divide $83$ by $4$ and store $20$ in total.

Also add the number of years since $1900$ to total.

Add the day of the month to total.

Using the function month$\_$offset$()$ described in the following, find the "month offset" and add it to total.

If the year is a leap year and if the month you are working with is either January or February, then subtract $1$ from the total. You can use the function is$\_$leap$()$ provided to determine if the year is a leap year.

Find the remainder when total is divided by $7.$ Pass this remainder to the function weekday$\_$name$()$ you wrote to determine the day of the week the person was born.

Finally, build up a single String value containing the whole date $($day of week, month, day, year$).$ You'll need to use the function month$\_$name$()$ you wrote to show the month name rather than its number.

Return that String value.

Whew. Here's some code to get you started.

Welcome to MCIS$5103\text{'}$s fantastic birth$-$o$-$meter!

All you have to do is enter your birthday, and it will tell you

the day of the week on which you were born.

Some automatic tests....

$12102003=>$ Wednesday, December $10,2003$

$2131976=>$ Friday, February $13,1976$

$2131977=>$ Sunday, February $13,1977$

$721974=>$ Tuesday, July $2,1974$

$1152003=>$ Wednesday, January $15,2003$

$10132000=>$ Friday, October $13,2000$

Now it's your turn! What's your birthday?

Birthday $($mm dd yyyy$)$: $11112010$

You were born on Thursday, November $11,2010!$