The OMC Blog is an initiative to get many math bloggers together on one platform. Many people are good at math writing and communication and have blogs on AOPS and other websites. We want to give such people a larger combined audience alongside other resources. On the other side, we also want to bring lots of useful olympiad content together for readers.

Content on this blog will range from solutions to olympiad questions, expository articles on various topics, interviews, resource compilations, and more. If you want to be a blogger, fill out the google form; we are looking for a diverse range of people who can offer varied perspectives and write about a wide range of stuff. This initiative is part of the Online Math Club.

Meet the team!!

Sunaina Pati: Sunaina is a 12th-grade student from Guwahati, Assam. She doesn't have a favourite area in Olympiad mathematics, however, she tends to solve some of the geometry problems in the test.  Apart from doing college math, she usually spends her time studying her school books, watching k-dramas, reading webtoons and making digital art. Her favourite genre of music is K-pop and Indian Indies.

She is a two-time IMOTCer in 2021,2022, an Honourable Mention in IGO Advanced round and Sharygin 2022 correspondence round winner. She is also a Sophie fellow 2021, 2022. She has an amazing math blog called Sunaina Thinks Absurd
P.S. She is the supervisor in the OMC blog team along with Pranav.

Pranav Choudhary: Pranav is a 10th grader from Karnal (Haryana). He started doing competitive maths in grade 9, and absolutely loves Combo. His subject preference is Combi ~ Poly  > Geo > FE >> NT > Inequalities. Apart from maths, he likes to play chess, write poems, read random AoPS blogs and talk to people.
He is one-time IMOTCer 2021 and has cleared CMI stems final round in both maths and physics. He also got an Honourable Mention in IGO last year. He has participated in various other math contests such as Purple commet, HMMT, OMO, Sharygin etc.He also has a blog on aops - here
P.S. He is the supervisor in the OMC blog team along with Sunaina

Atul is a 12th grader from Bangalore who is passionate about math. He likes combo and geo and strongly advocates for the destruction of inequalities in life and math olympiads. Apart from math, he plays chess, reads lots of webtoons, books and cracks bad jokes that no one laughs at it (Editor edit: Sunaina laughs at it)

He is a two-time IMOTCer in 2021, 2022 and will be representing India at IMO 2022. He also has a silver medal in APMO 2022 and was part of the Sophie fellowship in 2021.

Mihir Kaskhedikar: Mihir is a first-year undergrad student studying Computer Science at IIT Delhi. His hobbies are sleeping, procrastinating, binge-watching anime and Netflix sitcoms and of course, solving math problems and logic puzzles. He has qualified RMO in his 10th and 11th grades but he couldn't go past INMO.

He believes that preparing for math olympiads has had a great influence on him and he still occasionally thinks about olympiad problems when he is free from college stuff. He also likes doing competitive programming and is active on Codeforces (handle: erdosnumber). And finally, he is quite lucky to be a part of the OMC blog team!

Debayu Chakraborti:
Debayu hails from the northeastern state of Tripura and has been doing Olympian math for over a year now. He is also interested in higher math, physics, cs and has been learning abt machine learning recently! He is a football maniac and recently made it into his school football team. In his free time, he watches anime, listens to music and reads random books.

Emon Suin: Emon, a Sophie Fellow, is a ninth grader from Kolkata, West Bengal. He is highly enthusiastic for Math Olympiads and also does a bit of Competitive Programming. Emon also loves to play cricket and had played in the CAB U-13 cricket tournament previously.

Moreover, he likes to play chess, a bit though. Last year, he cleared the International Online LIMIT exam, conducted by ISI Bangalore with an AIR : 13 (Objective : 22 and Subjective: 6). Emon also wrote the INOI this year.

Bratin Dasgupta:
Bratin is currently a class 10 student hailing from Kolkata. He's been into Math contests for a long time and enjoys combinations and Geometry the most. He's also an avid competitive programmer and currently competes in the USACO Gold division. Other than Mathematics and CS, he enjoys self-studying physics. In his free time, he's interested in origami, loves Spotify and enjoys playing football.

Rishad has a deep interest in mathematics. He is a 12th grader. Two of his favourite past times are doing absolutely nothing and listening to music(which he does while studying as well sometimes 'cause it's fun). He likes reading about math and related fields(majorly math only but yeah I do read about physics, cryptography, and computer science as well). He does play chess sometimes and also, for recreation, likes doing puzzles and the questions from the linguistics olympiad. He enjoys watching 3b1b's videos.

Ameya: Ameya is an undergraduate student at IIT Bombay. He was a part of the IMOTC in 2020. He spends time playing basketball, roaming, or watching anime. He likes reading about recreational maths and scientific history. He also has a passion for physics and electronics.
He considers mathematical discussion and an essential part of his personal growth and is willing to continue his part in dissemination. He is part of the Mathematics and Physics Club at IIT Bombay.

### Constructions in Number Theory

Hi, I am Emon, a ninth grader, an olympiad aspirant, hailing from Kolkata. I love to do olympiad maths and do some competitive programming in my leisure hours, though I take it seriously. I had written INOI this year. Today, I would be giving you a few ideas on how to Construct in Number Theory . Well, so we shall start from the basics and shall try to dig deeper into it with the help of some important and well-known theorems and perhaps, some fancy ones as well. Okay, so without further delay, let's start off... What do we mean by "Constructions"? If noticed, you can see that you often face with some problems in olympiad saying, "... Prove that there exists infinitely many numbers satisfying the given conditions" or "... Prove that there exists a number satisfying the above conditions." These are usually the construction-problems .  For example, let's consider a trivial example : Problem. Prove that there exist infinitely many integers $a$ such th

### EGMO solutions, motivations and reviews ft. Atul, Pranjal and Abhay

The  European Girls' Mathematical Olympiad a.k.a EGMO 2022 just ended. Congrats to Jessica Wan from USA, Taisiia Korotchenko, and Galiia Sharafetdinova for the perfect scores! Moreover, the Indian girls brought home 4 bronze medals! By far, this is the best result the EGMO India Team has ever achieved! To celebrate the brilliant result, here's a compilation of EGMO 2022 solutions and motivations written by my and everyone's favorite IMOTCer Atul ! And along with that, we also have reviews of each problem written by everyone's favorite senior, Pranjal !  These solutions were actually found by Atul, Pranjal,  and Abhay  during the 3-hour live solve. In the live solve, they solved all the 6 problems in 3 hours 😍!!! Okie Dokie, I think we should get started with the problems! Enjoy! Problem 1:  Let $ABC$ be an acute-angled triangle in which $BC<AB$ and $BC<CA$. Let point $P$ lie on segment $AB$ and point $Q$ lie on segment $AC$ such that $P \neq B$, $Q \neq C$ and

### Q&A with experts about bashing

Heyy everyone! From the title, you can see that we are going to talk about  BASH.  Yesss, we are going to discuss whether you really need to learn bash or not?  Let me first introduce myself, I am Pranav Choudhary, a 10th grader from Haryana(India). I like to do geo and combo the most :PP. Oki so let's begin! For those of you who don't know what bashing is, lemme give you a brief introduction first. Bashing is basically a technique used to solve Geometry Problems. In general, when you try a geo problem you might think of angles, similarities, and some other techniques (e.g. Inversion, spiral similarity etc). All of which are called synthetic geometry. But sometimes people use various other techniques called "bash" to solve the same problems.  Now there are different kinds of bashing techniques, e.g. - Coordinate bash, Trig Bash, Complex bash, Barycentric Coordinates. Let me give you a brief introduction to each of them.  Coordinate Bash : You set one point as the orig