Questions tagged [algorithms]

This tag is for questions about presenting specific algorithms or general principles of algorithmic design and analysis to students. It IS NOT for questions about writing or fixing algorithms.

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Time complexity of while statement [closed]

What will be the time complexity of the following algorithm int a = 0, i = N; while (i > 0) { a += i; i /= 2; } I try to create a table for the values ...
27 views

Resource for practicing algorithms without programming? (migraine sufferer)

Does there exist a resource for exercises and problems of the form "design a program with the following specifications in time/space O(f(n))"? I am aware of competitive programming websites ...
45 views

How to learn asymptotic notations rigorously?

Is there any good tutorial about how to make asymptotic notations rigorously? I think the way from Turing machines to the analysis of pseudocode is quite a big. Or is the situation that there are some ...
4k views

Teaching algorithmic thinking without a programming language

I am to teach Algorithms and Data Structures. There are lots of books that teach how to do algorithms in language X or Y. But I would like to teach algorithmic thinking per se, independent of the ...
182 views

Algorithmic Game Theory as an undergrad

I am an undergrad going into my junior year this semester. I really wanted to explore algorithmic game theory, as my university has some excellent professors in that field. However, as my undergrad is ...
70 views

Example of amortized analysis of algorithms rather than data structures

Amortized analysis is often taught in algorithms classes, with the different methods (aggregate, accounting, potential). It is very important when discussing some data structures and their use in ...
182 views

Is there any pedagogically motivated reason to teach quadratic probing?

I'm currently preparing a unit on the implementation of hash tables for a data structures and algorithms course (this is a university-level class if it matters). Specifically, I'm focusing on ...
212 views

What are good, practical labs and activities for unnested loops?

I am teaching some high school students, also the first time programmers, some basic programming concepts and applications. When introducing loop I find that using it to check prime number (or find ...
148 views

Greedy Algorithm Approach

One of the popular algorithm design techniques is the Greedy Algorithm. Do we have real-world examples of Greedy Algorithm which we can teach Undergraduate students? I know the famous Djikstra's ...
172 views

How do I construct a basic lesson on computational complexity and undecidability?

Essential Understanding 4.2 of the AP CS Principles curriculum is as follows: "Algorithms can solve many, but not all, computational problems." Among the topics I am expected to cover in the context ...
98 views

Divide and conquer for subset sum problem

I want my students (equivalent first-year college students) to work on algorithmic paradigms during a 2 hours practical programming session in OCaml. I chose the subset sum problem since it can ...
67 views

Any tools or frameworks for visualisation of algorithms?

I would like to make animation of algorithms in order for students to see the flow of an algorithm in a visual way. Like an alternative to https://visualgo.net/en I want to make custom animations like ...
176 views

Textbook or video lectures to develope intuition for solving any unseen Graph Theory problems

Background Hello, I am a third year undergraduate in CS. I am eager to pursue higher education from one of the best institutes in out country. For that I need to write a competitive exam, named GATE ...
57 views

Algorithm Design challenges

In my course we discuss algorithms (greedy, dp, div & conquer, etc.) and efficiency. Do you have any experience with assignments that consider also time of execution as a criterion for grading? Do ...
127 views

Cormen's "Algorithms" pre-requisites

What to recommend as a pre-requisite reading before Cormen's "Algorithms" to make this book easier to get through for 10-12th graders? Any courseware available for kids, books, courses, etc.?...
10k views

A real world example for the divide and conquer method

Can someone give a real world example for the divide and conquer method? For example, I've heard the boomerang used to explain the idea of a loop back address. What is a real world example we can use ...
374 views

First Time Learning Non-Linear Data Structures

I'm looking for effective strategies and projects for introducing non-linear data structures to students. I currently teach linked lists, stacks, and then introduce binary trees. A lot of students ...
78 views

Feedback request: an assignment on programming a research paper

I am teaching an elective course on algorithms for 3rd year undergraduates. There are 12 weekly assignments, each of which is worth 1% of the grade, and a final exam which is worth 88%. I would like ...
102 views

Looking for good Master Theorem examples

I'm teaching an Algorithms class (junior/senior level), and we've just proved the validity of the Master Theorem. I'd like some good questions on it, both for homeworks and for exam questions. Problem ...
4k views

When mentoring individuals, teach clean coding and simple/effective thinking or let them do it their way?

I have a background of 20+ years professional coding, but my heart is really in teaching. About three years ago, I started tutoring ages grade 6 through adult in coding topics. introduction to coding ...
514 views

What are competitive programming problems that require a tree data structure to solve them?

I want to practice my problem-solving skills that involve the usage of a tree data structure (e.g. Binary Search Tree, Heap, <...
64 views

Error free solution manual for "Introduction to Algorithms" by Cormen et al. for self study or alternative method to tackle them single handed

I am a CS undergraduate student, strictly speaking I am fond of studying theoretical CS subjects, the corresponding books just attract me. Now in theoretical CS we probably have algorithm design and ...
93 views

Coding assignments for algorithms and data structures?

Do you know of any online resource with ideas/projects for an Algorithms and Data Structures course? Topics in the course include: basic data structures (array, list, stack, queue, priority queue, ...
170 views

What are some real life applications of the knapsack problems class?

Students are very happy when they see some real applications of the theory. Any suggestions for interesting examples of knapsack problems?
150 views

Is it worth to learn to make a MD5-hash cracker?

I found a puzzling site where one puzzle was to find a string whose MD5-hash is given. Is such a puzzles good for learning? I mean, I believe that hash might be cracked by using enough computing ...
52 views

How to teach linear programming and reductions?

Do you know any textbook with problems+solutions to support teaching of linear programming and reductions? In particular for: standard and slack forms, formulation of problems as linear programs, ...
3k views

Solutions to problems from Algorithms Jeff Erickson

Do you know of any website or other source with partial/complete solutions to problems from Algorithms book of Jeff Erickson?
227 views

Any website/textbook with problems+solutions in algorithms?

I'm trying to find an online source or textbook with problems+solutions for problems in dynamic programming, number theory, graph theory, greedy algorithms, etc. Do you know of any?
834 views

Fun way to teach algorithms

I will teach algorithms for 4 days for some students. It will be their first course in computer science before learning coding with Java. My fear is to bore them as I was bored at the university :( ...
250 views

Pedagogical issues with Stack Implementation

I am new to teaching the particular syllabus I have been asked to teach and I am confused by the approach given for several of the algorithms. For example the stack implementation based on the course ...
1k views

First project in my second year data structures intro

I am currently teaching the pretty much normal second year Data Structures and Algorithms course. In this course there are four programming projects, with the first project completed the automated ...
79 views

Is there any series of videos in which all the main algorithms are discussed without going into things like time complexity and space complexity

The course should be discussed in c language. I am presently learning basic computer programming through a book and while doing the questions from the book from a chapter say array, I found out most ...
131 views

Understanding Introduction to Algorithms, 3rd Edition

I'm taking a course on data structures and algorithms and it follows the book Introduction to Algorithms, 3rd Edition (ISBN-10: 9780262033848) by Charles E. Leiserson, Clifford Stein, Ronald Rivest, ...
361 views

System to validate run time complexity requirements

TL;DR: Do you know of a method/system that can determine the run time complexity of code automatically? At our university we have a system in place that allows students to submit their code and get ...
665 views

Is it a good idea to teach algorithm courses using pseudocode instead of a real programming language?

I am a young professor teaching a data structures course for the first time. I'm teaching at an engineering college that provides an academic degree, but the focus is preparing future computer ...
147 views

How should one go into learning algorithms and data structures? What do you think is an efficient way to do so?

Should one first understand its logic and see its implementation? Or should one try to implement it first oneself? How should one learn so that one can quickly implement the algorithm or data ...
81 views

What is the closest pair problem useful for?

The closest pair problem is the famous problem of finding out the closest pair of points given an arbitrary set of points on a plane. This problem has a divide and conquer algorithm and often is used ...
76 views

How to introduce problem solving to primary school pupils?

I'm interested into knowing your experiences about introducing problem solving to primary school pupils. I'm a PhD candidate in Operations Research and, together with my University or my public ...
295 views

How to learn to solve trees, graphs questions for competitive programming

I learnt about trees and graphs from my textbooks (undergraduate level) last year. But now I'm doing competitive programming and unable to solve questions involving these concepts. I fail to ...
5k views

Pseudocode or Flowcharts?

For GCSE CS in the UK, students have to analyse, design, code, test and review a solution to a problem. For the design section of their project, students have to plan out the algorithm for each part ...
178 views

Project based on game 2048

I'm thinking about an assignment based around the game 2048. This would be towards the end of a first programming course at the university level and assumes the students have been introduced to at ...
655 views

Difficulty of algorithms homework problems

I have a question for educators, from the perspective of a TA. I'm happy to post my question elsewhere if it's not appropriate for this site. Homework problems in algorithms classes often involve ...
137 views

How to structure a Predictive Keyboard project similar to GBoard

Many are now familiar with GBoard, the Google / Android predictive Keyboard. I don't actually know how it works. Obviously it must gather usage data on the device where it is being used, but it ...
582 views

Will you tell students that Algorithms + Data Structures = Programs now(21st century)?

Algorithms + Data Structures = Programs occurs in 1976 (in Niklaus Wirth's book). In the past, we (teachers) may usually cite this equation to emphasize the importance of algorithms/data structures. ...
148 views

"Computer sciency" and "practical" exercices involving dictionaries

I am teaching a course in data structures to a 2o semester. We hear often that the dictionary is a very versatile data structure, and solves quite so many problems. I'd like to illustrate that, but, ...
449 views

Single-dimensional array and simple looping activities of significance

I give a lab on single-dimensional loops and arrays. By "single dimensional loops", I mean that there is no nesting of loops. (I will later give a second lab on multi-dimensional loops and arrays, ...
485 views

How to avoid misconceptions about while loop when using null loop

Is it problematic to teach students to use an empty while loop to create an until loop? If so, what learning progressions avoid ...
3k views

How to explain to people the importance of algorithms in computer programming?

Many computer science problems can be solved by more than one algorithm. Usually those algorithms have different problem-solving approaches and therefore different strengths and weaknesses. My ...