Implementing an algorithm to determine the day of the week from a date

The following is a flowchart of Tomohiho's “doomsday” algorithm to determine a day of the week:

Month	month-key
January	0
February	3
March	2
April	5
May	0
June	3
July	5
August	1
September	4
October	6
November	2
December	4

day	day number
Sunday	0
Monday	1
Tuesday	2
Wednesday	3
Thursday	4
Friday	5
Saturday	6

Here are the specifications:

Implement the above algorithm in JS to determine the day of the week for ANY date. Start by defining variables day for the day a number from 1-31, month for the month (a String) “January”, “February”, etc., year a number 1900-2099 for the year
Use your birth date as a test case.
Implement it in a general way that works for whatever is assigned to the variables day,month,year. No hard-coding of calculations or steps as in the lab exercise.
Do not implement it as a series of variable steps step1 = ... as in the Lab exercise. Each step need not be a line of code. You can combine steps to get the same result. For example, steps 2 through 5 can be done in a single line of code. Note that you do not need variables for the steps unless the result of that step is used in multiple other steps (so step1 may be useful to have as a variable). HINT: This program can be written in 8 lines of code using only 2 variables for calculations!
Use parseInt() or Math.floor() to get the divisor and drop the remainder
To handle step 1 use if or a ternary operator
Make an object monthKey from the month-key table and use it for Step 6
Use the modulus operator % to get the remainder in Step 7
Make an array of days of the week strings to convert Step 7 into the day as per the day number table
Output the date and and the day of week to the console.

Rx: <15 min Av: 15-20 min Sd: 20-25 min DNF: 25+ min

Extra credit! Make it a web app!

Create a new file dow.html and use EMMET ! to set up the document.

Put the following in the <body>

 Month:<input id=month_id type="text">
 Day:<input id=day_id type="text">
 Year:<input id=year_id type="text">
 &nbsp; <span id=dow_span></span>
 <br>
 <input type="button" value="Find day of week">

Add an onclick event attribute to the <button> and copy your dayoftheweek code as the value (a lot of code!). You will have to change some of the quotes inside your code to not conflict with the quotes for the onclick event attribute.
Assign the day, month, year the value attribute of the respective textboxes (use day_id, month_id, year_id). For day and year you will need to parseInt to convert these strings to integers.

Move the monthKey variable to the <head> and replace the Month textbox with

  Month:<select id='month_id'>
  <script>
      for(month in monthKey) {
          document.write(`<option>${month}</option>`);
      }
  </script>
  </select>

This last bit of code generates a select box of months using the monthKey object.

Set the innerHTML of dow_span to the date and and the day of the week you had output to the console.

Rx: <22 min Av: 22-30 min Sd: 30-35 min DNF: 35+ min

If you get stuck you can ask the instructor or TA for a screencast solution.