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What is (quantum) computing?

January 05, 2024

There has been a lot of interest in Quantum Computing in recent years, but what makes it different from regular computing? To understand that, let’s first try to ponder what “computing” is.

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Latex Pro Tips

August 02, 2023

A collection of useful latex tips for writing scientific papers and reports. I’ll keep updating this page as I learn new tricks!

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Advent of Code 2022 - Lean4

December 29, 2022

This year, I attempted Advent of Code in Lean 4 - A theorem prover and programming language. My full solutions are available on github:anurudhp/aoc2022

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A quantum-inspired solution to a CP problem

I came across a very interesting problem in a recent team contest. Given some array $a$, we were asked to transform it into $b$ where each element of $b$ was some weighted summation of the elements of $a$. Though its solution is very old and well-known, I found thinking of it as a quantum algorithm quite useful and enlightening.

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Function optimization - a problem from AdventOfCode 2021

This is my approach for the 7th problem of AdventOfCode 2021, including some related variations that I came up with. I’ll be using R to implement the solutions.

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ICPC WF 2020, Problem F. Ley Lines

Solution and explanation for Problem F. Ley Lines from the ICPC World Finals 2020, along with the implementation.

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ICPC WF 2020, Problem C. Domes

Solution and explanation for Problem C. Domes from the ICPC World Finals 2020, along with the implementation.

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[CP] Approaching Geometry Problems

November 08, 2021

This week, I will be hosting a session on Geometry at the IIIT-H programming club, where I plan to discuss a few techniques and problems.

At first sight, computational geometry might seem very hard and intimidating. But once you familiarize yourself with some basic tools and tricks, you’ll become a geometry expert! Let’s break the myth “geometry is hard” together!

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Haskell in C++: The IO Monad

June 23, 2021

In a previous post, I described how to implement Functors in C++. Now I will try to represent the IO monad, with a few toy examples.

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Regular tilings of the 2D plane

June 03, 2021

I recently came across Euclidean tilings by convex regular polygons, which is super interesting. The problem is to fill the entire (infinite) 2D plane with non-overlapping regular polygons. The simplest case is to use a single regular polygon of fixed size - called Regular Tilings.

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[Haskell for CP] Solving an interactive problem using laziness

Haskell is an interesting and beautiful language for many reasons. One is laziness, which lets us write very elegant computation recipes.

I will attempt to solve an interactive CP problem from a recent codeforces contest - Guess the K-th Zero.

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What is a variety?

Of course, I am not talking about the English word “variety” here, which everyone knows the meaning. I am referring to algebraic varieties. These are the primary objects one studies in algebraic geometry. I am no expert on the subject, but I have a little understanding of the concept. I would like to share my thoughts and insights by showing some elementary and common examples everyone would have seen sometime or the other - completely unaware that they are varieties in disguise!

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Haskell in C++: Implementing pure functional constructs in c++ using templates

May 21, 2021

When I first learnt Haskell a while back, I found it difficult to adjust my thinking to the pure-functional style. Especially because I have been coding in imperative languages for more than 7 years before that. It took me a while to fully grasp and appreciate the elegance of these constructs in Haskell, like functors and monads. At some point, I attempted to implement the same constructs in C++, to help my understanding, and get a feel of the expressive power Haskell has.

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Advent Of Code 2020 - in Haskell

May 17, 2021

A few months ago, I was introduced to the Advent Of Code contest series. The 2020 round has just begun, and looking at the problems from previous years, I felt it would be fun and challenging to program them in Haskell. And so I got to work and got 40 out of 50 stars at the end. This was incredibly fun, and surprisingly difficult at certain stages, and I want to share my thoughts with others.
I have put up my solutions on GitHub.

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[Haskell for CP] Exploiting laziness for memoized DPs

In this blog I attempt to solve the Partition Problem using Haskell. The key is to utilize laziness to cleanly express the standard dynamic-programming solution for the problem.

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A calculator in C++ - at compile time!

March 07, 2021

Calculator programs are usually one of the first practice programs people implement. And writing a basic one in c++ is pretty straightforward. But today, I’ll demonstrate how to use your compiler (say gcc or clang) as a calculator!

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Sprague-Grundy: Why is it XOR?

February 23, 2021

I have always wondered why the correct way to combine nim games is taking the XOR of their grundy numbers. But never got around to learning the theory behind it.

Recently, I had a very enlightening conversation with Siddharth Bhat. He showed me a very simple and elegant proof for this.

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Solving a functional equation using Lean

February 22, 2021

Here is a problem from the 2019 Brazil Undergrad MO:

Find all functions \(f: \mathbb{R} \rightarrow \mathbb{R}\) satisfying \(f(x f(y) + f(x)) + f(y^2) = f(x) + y f(x + y)\)

I was curious to see if I could formalize and prove/verify this in Lean, so here goes.

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Awesome Software/Tools for Programming

December 01, 2020

This is a collection of useful software and tools that I have found over my years of programming.

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[Haskell for CP] Some Basic Problems

This week I will be discussing a couple of basic problems: Repetitions and GCD on Blackboard

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[Haskell for CP] Knapsack DP reinvented

Here is the problem Money Sums that I shared in my last blog

You have $n$ coins, with values $x_1, x_2 \ldots x_n$. You have to find all possible totals you can form with them.

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