andreas-yin

andreas-yin

A Common-Sense Guide to Data Structures and Algorithms, Second Edition: Time Complexity for Intersection Function (page 93)

@jaywengrow

I have noticed a mistake regarding the best-case scenario time complexity for the intersection function described on p. 92/93:

function intersection(firstArray, secondArray) {
let result = [];
for (let i = 0; i < firstArray.length; i++) {
for (let j = 0; j < secondArray.length; j++) {
if (firstArray[i] === secondArray[j]) {
result.push(firstArray[i]);
break;
}
}
}
return result;
}

In the case of a best-case scenario, i.e. with two arrays being identical, the parapgrah says we’d only have to perform N comparisons.

But when you have two identical arrays, e.g. [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], the inner loop would still have to start at index 0 for every value of the outer loop. So when the outer loop reaches the number 10, the inner loop would still have to compare this number 10 with 1, 2, 3, 4, 5, 6, 7, 8, 9 before it gets to the number 10. So I figured the number of comparisons would be calculated as follows:
1 + 2 + 3 + … + (N-1) comparisons, which is approximately N² / 2 comparisons

Therefore, the time complexity should be O(N² / 2) instead of O(N).

Where Next?

Popular Pragmatic Bookshelf topics Top

lirux
Hi Jamis, I think there’s an issue with a test on chapter 6. I own the ebook, version P1.0 Feb. 2019. This test doesn’t pass for me: ...
New
joepstender
The generated iex result below should list products instead of product for the metadata. (page 67) iex&gt; product = %Product{} %Pento....
New
adamwoolhether
When trying to generate the protobuf .go file, I receive this error: Unknown flag: --go_opt libprotoc 3.12.3 MacOS 11.3.1 Googling ...
New
jskubick
I’m under the impression that when the reader gets to page 136 (“View Data with the Database Inspector”), the code SHOULD be able to buil...
New
New
oaklandgit
Hi, I completed chapter 6 but am getting the following error when running: thread 'main' panicked at 'Failed to load texture: IoError(O...
New
creminology
Skimming ahead, much of the following is explained in Chapter 3, but new readers (like me!) will hit a roadblock in Chapter 2 with their ...
New
tkhobbes
After some hassle, I was able to finally run bin/setup, now I have started the rails server but I get this error message right when I vis...
New
SlowburnAZ
Getting an error when installing the dependencies at the start of this chapter: could not compile dependency :exla, "mix compile" failed...
New
roadbike
From page 13: On Python 3.7, you can install the libraries with pip by running these commands inside a Python venv using Visual Studio ...
New

Other popular topics Top

PragmaticBookshelf
Brace yourself for a fun challenge: build a photorealistic 3D renderer from scratch! In just a couple of weeks, build a ray tracer that r...
New
DevotionGeo
I know that -t flag is used along with -i flag for getting an interactive shell. But I cannot digest what the man page for docker run com...
New
AstonJ
I ended up cancelling my Moonlander order as I think it’s just going to be a bit too bulky for me. I think the Planck and the Preonic (o...
New
AstonJ
I have seen the keycaps I want - they are due for a group-buy this week but won’t be delivered until October next year!!! :rofl: The Ser...
New
dimitarvp
Small essay with thoughts on macOS vs. Linux: I know @Exadra37 is just waiting around the corner to scream at me “I TOLD YOU SO!!!” but I...
New
PragmaticBookshelf
Create efficient, elegant software tests in pytest, Python's most powerful testing framework. Brian Okken @brianokken Edited by Kat...
New
First poster: bot
zig/http.zig at 7cf2cbb33ef34c1d211135f56d30fe23b6cacd42 · ziglang/zig. General-purpose programming language and toolchain for maintaini...
New
sir.laksmana_wenk
I’m able to do the “artistic” part of game-development; character designing/modeling, music, environment modeling, etc. However, I don’t...
New
PragmaticBookshelf
Get the comprehensive, insider information you need for Rails 8 with the new edition of this award-winning classic. Sam Ruby @rubys ...
New
PragmaticBookshelf
A concise guide to MySQL 9 database administration, covering fundamental concepts, techniques, and best practices. Neil Smyth MySQL...
New

Sub Categories: