FCC Advanced Algorithm Scripting Challenge – ‘Symmetric Difference’

Let’s tackle another Free Code Camp advanced algorithm – ‘Symmetric Difference’.  The challenge here is to ‘create a function that takes two or more arrays and returns an array of the symmetric difference ( or ) of the provided arrays.’

The symmetric difference of two sets of elements is the set that occurs in either one of the two sets, but not both (i.e. the symmetric difference of [1,2,3,4] and [3,4,5,6] is [1,2,5,6]).  For more reading on symmetric difference, check out this wiki page.

Free Code camp gives us the following as a starting point:

This is another case where we have to write a function for which we need to handle an unknown number of arguments.  To accomplish this, we’ll be using the arguments object.  I’ve covered the arguments object in a previous post, ‘Seek and Destroy’.  If you are unfamiliar with or would like a refresher of the arguments object, please check it out.

One of the helpful hints FCC provides us with is a link to the Array.prototype.reduce() method.  The arr.reduce method is a great way to cycle through and apply a function to each element of an array.

The arr.reduce method takes 2 arguments, a callback function (which will be applied to each element of the array) and an initial value (the element to provide as the first argument to the first callback function call – see here for more).

If you’re new to JavaScript, or somewhat unclear of what a callback function is, JavaScriptIsSexy.com has an excellent post on callbacks.

The callback takes a possibility of 4 arguments – previousValue, currentValue, currentIndex and array.  This is important, as it means when we write our callback function, we will have access to these 4 values within the function (for further clarity on exactly what the four values are, check out the MDN link mentioned previously).

I think we should break down this challenge into two main problems.  We need to:

  • Write a function that returns an array of the symmetric difference (⊕) between two given arrays
  • Use this function to handle an unknown number of arguments. For example:
    • find (arg1 ⊕ arg2)
    • if there’s an agr3, find arg3 ⊕ (arg1 ⊕ arg2)
    • continue for argX

At this point, I’m going to start discussing my solution to the problem.  If you’re working through FCC, I’d suggest attempting a solution on your own given what we’ve discussed above. Otherwise, proceed on…


Let’s start by writing the function we’ll use to calculate the symmetric difference between two arrays.

In other words, we need to write a function that receives two arrays as arguments, then returns an array of the numbers that are in one of the argument arrays, but not both.

One way to do this is to

  • create a new empty array (curDiff) to store the symmetric diff
  • use arr.reduce() to cycle through each array (need to compare each array against the other, not just one against the other)
  • in the callback function of arr.reduce
    • check if an element is in the other array or in the curDiff array (to prevent duplicates in curDiff)
    • if not – push element to curDiff
      • hint – arr.indexOf() will return -1 if the given element is not found
  • return curDiff

Here’s the JavaScript code:

We now have a function (findSymDiff()) that we can use within our main function to get the symmetric difference between two arrays.  We now have to set up the logic to handle an unknown number of parameters received by our main function.

Our logic (using the arguments object) can look something like this:

  • create new array (symDiff) to store the array returned by findSymDiff()
  • compare arguments[0] to arguments[1] using findSymDiff()
  • cycle through argument[]
    • compare symDiff to arguments[x]

To accomplish this, we can set up a simple for loop.

If we set

we can call

in our for loop starting at i=1 and loop while i<arguments.length.

Then all we have to do is return symDiff!

Here’s how everything looks when we put it together:

This solution passes all of the FCC test cases.

Thanks for reading, feel free to leave comments or additional solutions below.  And if you’re working through Free Code Camp, hopefully this helped straighten out the code.



FCC Advanced Algorithm Scripting Challenge – ‘Map the Debris’

Today we’ll work through our first Free Code Camp advanced algorithm challenge called ‘Map the Debris‘, which will give us some exposure to working with objects.

This challenge asks us to ‘Return a new array that transforms the element’s average altitude into their orbital periods’

It further tells us that the array will contain objects in the following format:

FCC also points us to this wikipedia page to read about orbital periods.

Finally, it gives us the following as a starting point:

I think, given the limited amount that we’ve spent on objects here at crookedCode, we should start with a brief overview.

I’m not going to reinvent the wheel and write thousands of words on JavaScript objects when so many others have covered it much better than I ever could.

I will, however, point you to, and urge you to read, chapter 4 and chapter 6 of Eloquent JavaScript.  This will take some time, especially if you work through the examples (which I highly recommend) but you’ll have a much greater understanding of objects once you’re done.

Some basics about JavaScript Objects:

Here, I’ll cover objects in enough detail to get us through this FCC algorithm.  If you’ve read the chapters mentioned above, this should all be review.

In JavaScript, objects are basically a collection of properties that can be wrapped together and stored in one variable. Properties consist of {key: value} pairs.

I think the best way to demonstrate this concept is through an example.  I don’t know why, but let’s say I wanted to create myself as an object…  It might look something like this:

This example shows 4 sets of key: value pairs, the first of which is – firstName: ‘Jeremy’ – with firstName being the ‘key’ and ‘Jeremy’ the ‘value’.  All 4 of these properties are now stored under the variable – me.

I can access and manipulate the properties through dot notation (bracket notation can also be used, but we’re going to stick with dot notation throughout this exercise).

In the example below I will access my age and change it to 21 (I know, I know, wishful thinking….).

As you can see when I logged the ‘me’ object to the console, the age has now been changed from 41 to 21.

We’ve seen object properties above as strings or numbers, but they can really be any data type, including other objects or functions.  When a property in an object is a function, it is said to be a ‘method’ of that function.  I’ll demonstrate how we can add new properties to objects below by giving ‘me’ a hair color property and a method.

Ok, suffice to say, this is only scratching the surface with objects in JavaScript, but I think we can move on to solving ‘Map the Debris’.

Before going any further I feel I should say there are many ways to solve this problem…  Some of them, I’m sure, are much more ‘slick’ than mine. This is the solution, however, that I wrote and am providing here as a working solution in an attempt to help anyone who is struggling or looking for a different perspective.

Solving ‘Map the Debris’

We know from the problem description that we will be getting an array of objects as an argument, and that each object in this array will have name and avgAlt properties.

We need to take each of the avgAlt properties, calculate the orbital periods (based on the equation given to us on the Wikipedia page referenced above), and return an array of objects that contain name and orbitalPeriod properties.

First things first, how do we calculate an orbital period?  Below is the formula given on Wikipedia.

orbperiod for crookedcode

This equation might look a little intimidating if it’s been a while since your last math class, but we have all the elements we need.  We just have to rewrite the equation in JavaScript and fill in the correct values.

Fortunately, there’s a Math object in JavaScript that has all the methods associated with it that we’ll need (i.e. pi=Math.PI, squareroot=Math.sqrt(), exponents=Math.pow(base,exponent).  We’ll also use Math.round() to round our answer to the nearest whole number as required by the challenge.

My logic for setting up the solution was as follows:

  • Write a function that solved the orbital period given the avgAlt (let’s call the function findOrbPeriod)
  • Then write a loop to cycle through the array of objects that
    • adds an orbitalPeriod property with a value calculated using the findOrbPeriod function.
    • deletes the avgAlt property for each object in the array.
  • Return the array.

If you’re working through Free Code Camp, I would suggest taking what we just talked about and try to solve the equation on your own.

Otherwise, proceed on…


Let’s start by writing the function that will solve the orbital period.

As you can see, we use the avgAlt plus the earth’s radius for ‘axis’ in the equation.  The second line in the function is the orbital period equation listed above, only written using the JavaScript Math object.  Finally, we return the orbital period so we can use this function to populate the new orbitalPeriod property of each object.

Now we can tie everything together by cycling through the array of objects (arr) and calling the function we just wrote (findOrbPeriod()) for each object.

As you can see, the for loop adds an orbitalPeriod property to and removes the avgAlt property from each object in arr.  Then all we have to do is return arr.

There we go!!  We made it through our first  FCC advanced algorithm.  Hopefully this helped straighten out the code for you, feel free to leave any questions or comments below.  Until next time…