Welcome back! This lesson is entirely focused on one problem: encryption.
We’re going to modify the normal lesson flow. We’ll start with the homework problem at the top. If you’d like to just go at on your own, go for it! And, if you’d like a bit of help, we’ll break it down piece-by-piece below.
Let’s get to it!
Encryption is an ancient practice of trying to conceal information by scrambling it. Modern encryption techniques are incredibly strong and mathematically sound. But in the past, simpler and more primitive methods were used.
Let's implement a form of encryption known as a Caesar Cipher,
sometimes also known as Rot-13 encryption.
(Rot for rotation, and 13 for one amount that you might rotate.)
Here is how it works. Given a String
and an amount to rotate, we replace each character in the String
with
a new character determined by rotating the original character in a given array.
For example, given the String
array "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz ",
"ABC" rotated 3 would be "DEF", and rotated -1 would be " AB". (Note the space at the end of the character array.)
Declare and implement a function called encrypt
that, given a String
and an Int
amount, returns the passed
String
"encrypted" by rotating it the given amount. ("Encrypted" is in scare quotes because this is not by any
means a strong method of encryption!) If the passed String
is null
you should return null
.
Note that rotation may be negative, which will require some additional care.
Let’s break down this problem into smaller pieces, and spend a few moments just orienting ourselves and figuring out what to do. We won’t write test cases yet, and instead save them for the smaller pieces that we’re about to create.
Now that we have a sense of what the different pieces are, let’s look at one of the core challenges: remapping each character. We’ll also write some simple test cases for our helper method.
At this point we’ve identified how to remap individual characters.
Next we need to review how to break the input String
into individual characters.
Now that we have our building blocks, let’s integrate everything together!
If you are enjoying String
s, rotation, and modular arithmetic, and haven’t had enough yet—here is a practice problem that you might enjoy!
This problem combines String
s, functions, and arrays. Super fun!
Write a function called rotateRight
that takes a nullable String
as its first argument and a non-negative
Int
as its second argument and rotates the String
by the given number of characters.
Here's what we mean by rotate:
CS125
rotated right by 1 becomes 5CS12
CS125
rotated right by 2 becomes 25CS1
CS125
rotated right by 3 becomes 125CS
CS125
rotated right by 4 becomes S125C
CS125
rotated right by 5 becomes CS125
CS125
rotated right by 8 becomes 125CS
And so on.
Notice how characters rotated off the right end of the String
wrap around to the left.
This problem is tricky! Here are a few hints:
String
to an array of characters before you begin.characters
back into a String
like this: String(characters)
.substring
.If the passed String
argument is null
, you should return null
.
Good luck and have fun!
Remarkably few women have won the Turing Award, the highest award given for contributions to computer science. (Often considered the Nobel Prize of computing.) Shafi Goldwasser is one of them.
She received the award in 2012 “for transformative work that laid the complexity-theoretic foundations for the science of cryptography and in the process pioneered new methods for efficient verification of mathematical proofs in complexity theory.” Her work underlies the foundations of our modern data society, including algorithms that you use every day when you chat, browse, shop, and engage online. Here’s a short (if somewhat poorly done) official video describing her contributions:
Need more practice? Head over to the practice page.