IMO 2024 Problem 6 - the *FINAL BOSS* is always tough! Functional equation leaves few survivors Dedekind cuts 2024-07-20 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 2Solutions and discussion of problem 665th International Mathematical Olympiad Bath UKProblem 6 - Algebra / Functional equation
Hardest IMO problem EVER? Only *2* solved Dedekind cuts 2024-10-11 | #mathematics #olympiad #mathThe International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. The best math students around the world compete in this contest annually. So, how tough must a problem be in order for only 2 out of 600 of these students to solve it?
APMO 2024 - Has INEQUALITY always been this *bizarre*? Dedekind cuts 2024-08-25 | #mathematics #olympiad #mathAsian Pacific Mathematical Olympiad (APMO) 2024Solutions and discussion of problem 3The Asian Pacific Mathematics Olympiad (APMO) is a mathematical competition for countries in the Pacific-Rim Region. The APMO is held annually. Each participating country has a representative in charge of organizing the APMO locally. A central committee selects a paper with 5 questions to be solved in 4 hours, sends marking schemes and determines award winners. Problem 3 - Algebra, inequality
*AI* solution to IMO 2024 Problem 4 (by SILVER medalist Alpha Geometry) Dedekind cuts 2024-08-10 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 2AI solution and discussion of problem 4For more background about the AI, read the article here: https://deepmind.google/discover/blog/ai-solves-imo-problems-at-silver-medal-level/65th International Mathematical Olympiad Bath UKProblem 4 - Geometry
IMO 2024 Problem 5 - most *TROLL* problem in IMO history? Dedekind cuts 2024-07-19 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 2Solutions and discussion of problem 565th International Mathematical Olympiad Bath UKProblem 5 - Combinatorics
IMO 2024 Problem 4 - the *ONLY* geometry this year! Dedekind cuts 2024-07-19 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 2Solutions and discussion of problem 465th International Mathematical Olympiad Bath UKProblem 4 - Geometry
IMO 2024 Problem 3 - *MONSTER* combinatorics - how many will get 7? Dedekind cuts 2024-07-18 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 1Solutions and discussion of problem 365th International Mathematical Olympiad Bath UKProblem 3 - Combinatorics
IMO 2024 Problem 2 - If you LOVE *number theory* and HATE *geometry*, its a field day! Dedekind cuts 2024-07-17 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 1Solutions and discussion of problem 265th International Mathematical Olympiad Bath UKProblem 2 - Number Theory
IMO 2024 Problem 1 - Neat little problem to start things off! Dedekind cuts 2024-07-17 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2024 Day 1Solutions and discussion of problem 165th International Mathematical Olympiad Bath UKProblem 1 - Algebra / Number Theory
RIDICULOUS *number theory* problem 1 on Korean Math Olympiad Dedekind cuts 2024-06-28 | #mathematics #olympiad #mathThe International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. The IMO 2024 will be held in Bath, UK.How are you preparing for the IMO? Today, we will take a look at a number theory problem from this year's Korean Math Olympiad
Warm up for IMO 2024 with GRAPH THEORY from Indias *training camp*! Dedekind cuts 2024-06-21 | #mathematics #olympiad #mathThe International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. The IMO 2024 will be held in Bath, UK.How are you preparing for the IMO? Today, we will take a look at a graph theory or combinatorics problem from India's training camp!
NUMBER THEORY Functional Equation from *Japan*! Dedekind cuts 2024-06-14 | #mathematics #olympiad #mathIn preparation for last year's International Mathematical Olympiad held in Japan, we saw a beautiful number theory problem from the Japan Math Olympiad 2023. Would there be another beautiful number theory problem in this year's Japan Math Olympiad?
Preview of IMO 2024 - Trip to Bath, UK Dedekind cuts 2024-05-17 | #mathematics #olympiad #mathThe International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country. The IMO 2024 will be held in Bath, UK. Wonder how the city looks like? I made a trip down to the city to check it out before the IMO 2024!
USAMO 2024 Problem 2 - Dizzying set intersections! Dedekind cuts 2024-04-05 | #mathematics #olympiad #mathThe USA Mathematical Olympiad (USAMO) 2024 took place on 19-20 Mar this year. Qualification for the USAMO or USAJMO is considered one of the most prestigious awards for high school students in the United States. Top scorers on both six-question, nine-hour mathematical proof competitions are invited to join the Mathematical Olympiad Summer Program to compete and train to represent the United States at the International Mathematical Olympiad. In this video, we will be covering problem 2, a combinatorics problem.
USAMO 2024 Problem 1 and 4 - Is this math olympiad harder than usual? Dedekind cuts 2024-03-29 | #mathematics #olympiad #mathThe USA Mathematical Olympiad (USAMO) 2024 took place on 19-20 Mar this year. Qualification for the USAMO or USAJMO is considered one of the most prestigious awards for high school students in the United States. Top scorers on both six-question, nine-hour mathematical proof competitions are invited to join the Mathematical Olympiad Summer Program to compete and train to represent the United States at the International Mathematical Olympiad. In this video, we will be covering problems 1 and 4.0:00 Introduction0:33 Problem 1 - Number theory7:41 Problem 4 - Combinatorics
MIT Integration Bee 2024 (Part 2) - The fun begins! Dedekind cuts 2024-02-23 | #calculus #integration #math The MIT Integration Bee is a yearly tradition during MIT's Independent Activities Period every January run by MIT Math graduate students. The Bee is open to all MIT students, although most who participate are undergraduates. The 43rd Annual Integration Bee took place on January 24th, 2024.The qualifier test consists of 20 questions. The top 16 students from the qualifier test take part in the bee. The first round of the bee is a "regular season" with four students competing to solve each integral. Based on regular season performance, 8 students advance to a seeded single-elimination playoff bracket. In the playoffs, pairs of students go head-to-head to determine the Grand Integrator!It's nice to take a break from IMO and Olympiad problems to do some calculus!
MIT Integration Bee 2024 (Part 1) - Easiest problem set ever? Dedekind cuts 2024-02-16 | #calculus #integration #math The MIT Integration Bee is a yearly tradition during MIT's Independent Activities Period every January run by MIT Math graduate students. The Bee is open to all MIT students, although most who participate are undergraduates. The 43rd Annual Integration Bee took place on January 24th, 2024.The qualifier test consists of 20 questions. The top 16 students from the qualifier test take part in the bee. The first round of the bee is a "regular season" with four students competing to solve each integral. Based on regular season performance, 8 students advance to a seeded single-elimination playoff bracket. In the playoffs, pairs of students go head-to-head to determine the Grand Integrator!It's nice to take a break from IMO and Olympiad problems to do some calculus!
Indian National Math Olympiad 2024 - Fun logic puzzle recommended by viewer Dedekind cuts 2024-02-03 | #mathematics #olympiad #mathThe Indian National Mathematical Olympiad (INMO) 2024 took place on 21 Jan 2024. This is a high school mathematics competition held annually in India since 1989. It is the third tier in the Indian team selection procedure for the International Mathematical Olympiad (IMO). Contestants are given 4.5 hours to work on 6 problems from the areas of Algebra, Geometry, Number theory and Combinatorics.
How does the easiest problem in hardest math olympiad look like? Dedekind cuts 2024-01-20 | #mathematics #olympiad #mathChina Math Olympiad 2024 P1. The China Mathematical Olympiad (CMO) 2024 took place on Nov 2023. China is known for its strong performance annually at the International Mathematical Olympiad, and with many strong candidates vying for the national team, it is no surprise that the China Math Olympiad is known to be one of the toughest math olympiads around. In this video, we will be covering an interesting number theory problem.
The *BEST* Math Olympiad problems of 2023! Dedekind cuts 2023-12-29 | #mathematics #olympiad #mathWhat are the top 3 math olympiad problems of 2023? From the International Math Olympiad 2023 (IMO 2023) to Asian Pacific Math Olympiad 2023 (APMO 2023), here are my picks.0:11 - APMO Problem 1 Combinatorics0:59 - JMO Finals Problem 4 Number Theory1:40 - IMO Problem 5 Combinatorics
Putnam 2023 B2-B4: here are the fun problems! Dedekind cuts 2023-12-22 | #mathematics #olympiad #math #putnam The 2023 Putnam Math Competition is here! The Putnam Competition, the preeminent mathematics competition for undergraduate college students in the United States and Canada, takes place annually on the first Saturday of December. The competition consists of two 3-hour sessions, one in the morning and one in the afternoon. During each session, participants work individually on 6 challenging mathematical problems.84th William Lowell Putnam Mathematical Competition 2023 (Putnam 2023)00:00 Introduction00:15 Problem B2 - #numbertheory 09:15 Problem B3 - #combinatorics #probability 21:47 Problem B4 - #analysis #algebra #inequalities What do you think of this contest in comparison to the International Mathematical Olympiad (IMO)? In comparison to last year's Putnam?
Putnam 2023 A1-A4: These problems smell different! Dedekind cuts 2023-12-08 | #mathematics #olympiad #math #putnam The 2023 Putnam Math Competition is here! The Putnam Competition, the preeminent mathematics competition for undergraduate college students in the United States and Canada, takes place annually on the first Saturday of December. The competition consists of two 3-hour sessions, one in the morning and one in the afternoon. During each session, participants work individually on 6 challenging mathematical problems.84th William Lowell Putnam Mathematical Competition 2023 (Putnam 2023)00:00 Introduction00:24 Problem A1 - #calculus 04:01 Problem A2 - #algebra 08:53 Problem A3 - #analysis 22:30 Problem A4 - #geometry , AnalysisWhat do you think of this contest in comparison to the International Mathematical Olympiad (IMO)? In comparison to last year's Putnam?
Tricky graph + geometry problem from Harvard and MIT 😨 Dedekind cuts 2023-11-04 | #mathematics #olympiad #math #geometry #graph #Harvard #MIT #HMMT #MathCompetitionHere's a problem from the 2023 Harvard-MIT Math Tournament guts round!Founded in 1998, HMMT is one of the largest and most prestigious high school competitions in the world. Each tournament draws close to 1000 students from around the globe, including top scorers at national and international olympiads. HMMT is entirely student-organized, by students at Harvard, MIT, and nearby schools, many of whom are HMMT alumni themselves.The Guts Round is an 80-minute team event with 36 short-answer questions on an assortment of subjects, of varying difficulty and point values. Each team is seated in a predetermined spot, and the questions are divided into groups of four (in February) or three (in November). At the starting signal, each team sends a runner to an assigned problem station to pick up copies of the first set of four problems for each team member. As soon as a team has answers for one problem set, the runner may bring the answers to the problem station and pick up the next set. Grading is immediate and scores are posted in real time, resulting in an exciting atmosphere for the competitors.
Berkeley Math Tournament 2023 - solve one to solve the other to solve the other to solve the other.. Dedekind cuts 2023-10-13 | #mathematics #olympiad #math Berkeley Math Tournament 2023 Solutions and discussion of problems 19 and 20 from relay roundThe Berkeley Math Tournament is a UC Berkeley student-led organization that aims to spread mathematics and the spirit of mathematical competition globally by presenting students with interesting, original, hand-crafted problems. As of 2023, we are one of the largest student-run math competitions on the West Coast with over 2000 contestants.The relay round is a 40 minutes contest consisting of 20 questions. Some questions may depend on other questions’ answers, forming a directed graph between the questions. Nobody said that there cannot be any cycles and so here we are...By the way, anyone watching The Devil's Plan? (No spoilers in comments please!)
Two short and sweet problems from Stanford Math Tournament 2023! Dedekind cuts 2023-09-23 | #mathematics #olympiad #math Stanford Math Tournament 2023 Solutions and discussion of problems 8 (geometry) and 11 (algebra?) from team roundThe Stanford Math Tournament (SMT) is a high school math tournament run by students at Stanford University. The contest consists of an individual portion as well as a team portion. There are various different rounds but the Team Round is a 50-minute exam consisting of 15 short answer questions.
Insane combinatorics in India Olympiad Qualifier in Mathematics 2023 Dedekind cuts 2023-09-15 | #mathematics #olympiad #math India Olympiad Qualifier in Mathematics (IOQM) 2023Solutions and discussion of problem 28 (combinatorics)The IOQM exam constitutes the first stage of selection of the 2023-2024 cycle of the Indian Mathematical Olympiad leading to participation in the International Mathematical Olympiad 2024 (IMO 2024).
Using polynomials to prove that there are infinitely many primes Dedekind cuts 2023-09-04 | #mathematics #olympiad #math Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements. But how about proving the same statement through a fun algebra and number theory problem?
APMO 2023 Problems 1 and 2 solutions and discussion Dedekind cuts 2023-08-18 | #mathematics #olympiad #mathAsian Pacific Mathematical Olympiad (APMO) 2023Solutions and discussion of problems 1 and 2The Asian Pacific Mathematics Olympiad (APMO) is a mathematical competition for countries in the Pacific-Rim Region. The APMO is held annually. Each participating country has a representative in charge of organizing the APMO locally. A central committee selects a paper with 5 questions to be solved in 4 hours, sends marking schemes and determines award winners. 00:00 Introduction00:23 Problem 1 - Combinatorics08:31 Problem 2 - Number theory
Jane Street quant trading interview question turned into number theory Dedekind cuts 2023-08-11 | #mathematics #olympiad #math Jane Street quant trading interview questions usually requires you to be strong in probability type of questions. Spotted an interesting Jane Street quant trading mock interview question which I thought about further and it led me to another interesting number theory problem!
Easy number theory, hard number theory (IMO 2022 shortlist) Dedekind cuts 2023-07-28 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2022 ShortlistSolutions and discussion of problems N2 and N800:00 Introduction00:30 Problem N2 - Number Theory05:16 Problem N8 - Number TheoryIncluding tutorial on Legendre symbol and Jacobi symbol
IMO 2023 Day 2 solutions and discussion + statistics Dedekind cuts 2023-07-14 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2023 Day 2Solutions and discussion of problems 4, 5 and 664th International Mathematical Olympiad Chiba Japan00:00 Introduction01:08 Problem 4 - Algebra (inequality)08:14 Problem 5 - Combinatorics24:58 Problem 6 - Geometry46:22 Statistics of IMO 2023
IMO 2023 Day 1 solutions and discussion Dedekind cuts 2023-07-09 | #mathematics #olympiad #mathInternational Mathematical Olympiad (IMO) 2023 Day 1Solutions and discussion of problems 1, 2 and 364th International Mathematical Olympiad Chiba Japan00:00 Introduction00:54 Problem 1 - Number Theory06:40 Problem 2 - Geometry18:54 Problem 3 - Algebra
Beautiful math from the land of anime! (and IMO 2023) Dedekind cuts 2023-06-30 | #mathematics #olympiad #mathThe 64th International Mathematical Olympiad will be held in Chiba on July 2-13, 2023. Let's try a number theory problem from the Japan Math Olympiad 2023, which covers some crucial facts from number theory. Japan is known for its anime, but how about its math olympiad problems?
Warm-up for IMO with IMO 2021 Shortlist! Dedekind cuts 2023-06-23 | #mathematics #olympiad #mathThe 64th International Mathematical Olympiad will be held in Chiba on July 2-13, 2023. What better way to prepare than to boost your confidence in solving combinatorics problems by working on some shortlist problems!
Proving Fermats Last Theorem for polynomials Dedekind cuts 2023-06-09 | #math #mathematics #number Unique factorization for integers is something we take for granted, but turns out this property makes or breaks a proof for Fermat's Last Theorem 176 years ago
European Girls Math Olympiad 2023 - Is the dance cooler or Problem 3 cooler? Dedekind cuts 2023-05-12 | #mathematics #olympiad #mathThe European Girls' Mathematical Olympiad (EGMO) 2023 took place in Slovenia from 13 April to 19 April. The EGMO is a mathematical olympiad for girls which started in 2012. It is similar to, and was inspired by, the China Girls Mathematical Olympiad (CGMO). Although the competition is held in Europe, several countries from outside Europe are invited to take part in the competition each year. This competition is similar in style to the International Mathematical Olympiad (IMO), with two papers, each consisting of three problems to be solved in 4.5 hours, taken on consecutive days. 0:00 Introduction0:24 Problem 3 - Combinatorics1:42 Exploration6:12 SolutionLegend of Zelda Tears of the Kingdom is out! Looks like I will be busy playing Tears of the Kingdom for a while :p
3 simple-sounding math open problems #shorts Dedekind cuts 2023-05-08 | #maths #mathematics #number A mathematics problem does not need to be complicated sounding to be unsolved. Here are 3 open problems that demonstrate this!
USA Math Olympiad 2023 Double Combinatorics x Number Theory on day 2! Dedekind cuts 2023-03-31 | #mathematics #olympiad #mathThe USA Mathematical Olympiad (USAMO) 2023 took place on 21-22 Mar this year. Qualification for the USAMO or USAJMO is considered one of the most prestigious awards for high school students in the United States. Top scorers on both six-question, nine-hour mathematical proof competitions are invited to join the Mathematical Olympiad Summer Program to compete and train to represent the United States at the International Mathematical Olympiad. In this video, we will be covering problems 4 and 5, which are both problems that cover combinatorics and number theory.0:00 Introduction0:24 Problem 4 - Combinatorics and number theory8:36 Problem 5 - Combinatorics and number theory
Math proof by picture #shorts Dedekind cuts 2023-03-24 | #math #geometry A geometry problem with proof by picture
AIME I 2023 - A masterclass in wishful thinking! (Problem 10) Dedekind cuts 2023-02-25 | #mathematics #olympiad #aimeThe American Invitational Mathematics Examination (AIME) is a challenging competition offered for those who excelled on the AMC 10 and/or AMC 12. The AIME is a 15 question, 3-hour examination, each answer is an integer number between 0 to 999. The questions on the AIME are much more difficult than those on the AMC 10 and AMC 12. Top scoring participants on the AIME are invited to take the USAMO or USAJMO.There are two sittings for the AIME each year. AIME 2023 I took place on 7 Feb 2023. This video covers problem 10, a nice problem that touches on algebra and number theory, but fundamentally is about a different way of thinking about problems.
2023 MIT Integration Bee (Part 2) - trigonometric substitutions belong to the museum! Dedekind cuts 2023-02-17 | #calculus #integration #math The MIT Integration Bee is a yearly tradition during MIT's Independent Activities Period every January run by MIT Math graduate students. The Bee is open to all MIT students, although most who participate are undergraduates. The 42nd Annual Integration Bee took place on Thursday, January 26th, 2023.The qualifier test consists of 20 questions. The top 16 students from the qualifier test take part in the bee. The first round of the bee is a "regular season" with four students competing to solve each integral. Based on regular season performance, 8 students advance to a seeded single-elimination playoff bracket. In the playoffs, pairs of students go head-to-head to determine the Grand Integrator!It's nice to take a break from IMO and olympiad problems to do some calculus!
2023 MIT Integration Bee (Part 1) - No trigonometric substitutions but still crazy! Dedekind cuts 2023-02-10 | #calculus #integration #math The MIT Integration Bee is a yearly tradition during MIT's Independent Activities Period every January run by MIT Math graduate students. The Bee is open to all MIT students, although most who participate are undergraduates. The 42nd Annual Integration Bee took place on Thursday, January 26th, 2023.The qualifier test consists of 20 questions. The top 16 students from the qualifier test take part in the bee. The first round of the bee is a "regular season" with four students competing to solve each integral. Based on regular season performance, 8 students advance to a seeded single-elimination playoff bracket. In the playoffs, pairs of students go head-to-head to determine the Grand Integrator!It's nice to take a break from IMO and olympiad problems to do some calculus!
Indian Math Olympiad 2023 - Eulers name everywhere! Dedekind cuts 2023-02-03 | #mathematics #olympiad #mathThe Indian National Mathematical Olympiad (INMO) 2023 took place on 15 Jan 2023. This is a high school mathematics competition held annually in India since 1989. It is the third tier in the Indian team selection procedure for the International Mathematical Olympiad (IMO). Contestants are given 4 hours to work on 6 problems from the areas of Algebra, Geometry, Number theory and Combinatorics.
China Math Olympiad 2023 P1 - can a mere mortal solve it? Dedekind cuts 2023-01-20 | #mathematics #olympiad #mathThe China Mathematical Olympiad (CMO) 2023 took place on 29-30 Dec 2022. China is known for its strong performance annually at the International Mathematical Olympiad, and with many strong candidates vying for the national team, it is no surprise that the China Math Olympiad is known to be one of the toughest math olympiads around. In this video, we will be covering an interesting algebra problem.
Geometry puzzle to end off 2022! Disk covering problem Dedekind cuts 2022-12-30 | #maths #mathematics #puzzle The disk covering problem asks for the smallest real number r(n) such that n disks of radius r(n) can be arranged in such a way as to cover the unit disk. Dually, for a given radius epsilon, one wishes to find the smallest integer n such that n disks of radius epsilon can cover the unit disk.Hope you enjoy this little #geometry puzzle which you can use to challenge your friends!There's one final Codeforces contest in a couple of hours' time if you are interested. See you in 2023 with math olympiad / competitive programming videos on USAMO, APMO, IMO, Google Code Jam, and more!
The most fun problems from Putnam 2022! Dedekind cuts 2022-12-16 | #mathematics #olympiad #mathPutnam competition 2022 is here! The Putnam Competition, the preeminent mathematics competition for undergraduate college students in the United States and Canada, takes place annually on the first Saturday of December. The competition consists of two 3-hour sessions, one in the morning and one in the afternoon. During each session, participants work individually on 6 challenging mathematical problems.83rd William Lowell Putnam Mathematical Competition00:00 Introduction00:34 Problem B3 - Combinatorics, though some may argue algebra07:12 Problem A5 - CombinatoricsWhat do you think of this contest in comparison to the International Mathematical Olympiad (IMO)?By the way, the USA Computing Olympiad (USACO) is taking place this weekend. Are you taking part in the USACO?Number theory, analysis, algebra, geometry, #combinatorics, calculus
Putnam 2022 - A BRUH! moment in a math contest! Dedekind cuts 2022-12-09 | #mathematics #olympiad #mathPutnam competition 2022 is here! The Putnam Competition, the preeminent mathematics competition for undergraduate college students in the United States and Canada, takes place annually on the first Saturday of December. The competition consists of two 3-hour sessions, one in the morning and one in the afternoon. During each session, participants work individually on 6 challenging mathematical problems.83rd William Lowell Putnam Mathematical Competition00:00 Introduction00:39 Problem A2 - Algebra09:55 Problem A3 - Number TheoryDiscussion of more problems will be coming!What do you think of this contest in comparison to the International Mathematical Olympiad (IMO)?
[Competitive Programming] Find n triple factorial such that a^m divides it Dedekind cuts 2022-11-18 | #algorithms #coding #programming Another competitive programming video! This problem is taken from the Yandex Cup 2022 final round, and is a nice mix of number theory and general competitive programming tools.Also I have tried showing a sample code in Python. (Yes, I know C++ is better for competitive programming, but perhaps Python is easier to read) Let me know if this is a useful thing to do!
I won $5000 from a math competition Dedekind cuts 2022-10-09 | #mathematics #olympiad #mathThe Alibaba Global Mathematics Competition is jointly organized by the China Association for Science and Technology, the Alibaba Foundation, and Alibaba DAMO Academy. It is a competition that requires strong knowledge of undergraduate and graduate-level mathematics. But winners of this competition will be rewarded handsomely.In the final round, contestants are required to select one major track and one minor track before entering the answering interface. The final round includes five tracks of different subject areas:- Algebra & Number Theory- Geometry & Topology- Analysis & Differential Equations,- Applied & Computational Mathematics- Combinatorics & ProbabilityIn this video I cover a problem from the algebra and number theory category. Here's the actual question:Prove or disprove: Every 4x4 matrix with entries in the rational numbers and main diagonal 1,5,9,13 can be written in the form A^2 + B^2 where A and B are 4x4 matrices with entries in the rational numbers.
Coding problem - find lexicographically smallest matrix with cross swaps Dedekind cuts 2022-09-25 | #coding #programming #algorithmsThe Facebook Meta Hacker Cup 2022 round 2 took place yesterday, did you take part? Since SecondThread uploaded solutions video, I will not be repeating the same. Instead, would like to share this interesting problem from a recent Codeforces round that unexpectedly uses disjoint set union (DSU) and graph search algorithms (BFS or DFS). Enjoy!
