Sumit Mishra

 Applied Mathematics Applied mathematics is the branch of mathematics that deals with the use of mathematical methods and techniques to solve real-world problems in science, engineering, business, medicine, and other fields. Unlike pure mathematics, which focuses on abstract concepts for their own sake, applied mathematics is driven by practical applications. it uses tools like calculus, statistics, linear algebra, differential equations, and numerical analysis to model and analyze physical phenomena, optimize systems, predict outcomes, and make decisions. It serves as a bridge between theoretical mathematical ideas and their practical use in areas such as physics, computer science, economics, biology, and engineering, making it an essential foundation for much of modern technology and scientific advancement.

Greedy Algorithms A greedy algorithm is a problem-solving strategy that builds up a solution piece by piece — always choosing the option that looks best right now , without worrying about the future consequences of that choice. The word "greedy" is apt: the algorithm grabs the most attractive option at each step, pockets it, and moves on. There's no backtracking, no second-guessing, no looking ahead. Just one decisive move after another. In one line:  Make the locally optimal choice at each step and hope it leads to a globally optimal solution.    Think of it like eating the biggest slice of pizza first at a party. You're not thinking about whether someone else might want it — you're just making the best move   for you, right now . Greedy algorithms don't reconsider past decisions. Once a choice is made, it's final. This makes them   fast   and   easy to implement , but not always correct for every problem — that's the tradeoff.   Why ...

Greedy Algorithms — A Practical Guide Greedy Algorithms "Make the best decision now — and trust it leads to the best outcome." Greedy algorithms are one of the most elegant ideas in computer science. Instead of exploring every possibility, they take a bold approach: at every step, choose the best option available right now. No backtracking. No reconsideration. Just forward movement. What is a Greedy Algorithm? A greedy algorithm builds a solution step by step, always choosing the locally optimal option. The assumption is that these local choices will combine into a globally optimal solution. Why Greedy Works Greedy algorithms are powerful because they are: Fast — usually O(n log n) Simple — easy to implement Elegant — minimal logic, maximum efficiency But greedy is not universal. It only works when the problem satisfies: Greedy Choice Property Optimal Substructure Example — Coin Change Given coins: 25, 10, 5, 1 — make 36 usin...

Imagine a sport where the arena is your IDE, the clock is your opponent, and the prize is the satisfaction of seeing Accepted flash on your screen. That is competitive programming — and it has quietly become one of the most intellectually rigorous pursuits in the tech world. Competitive programming (often shortened to CP) is the practice of solving well-defined algorithmic problems within a fixed time limit, using a programming language of your choice. Problems are judged automatically by online systems that test your solution against hidden test cases. It sharpens your ability to think logically under pressure, write clean and efficient code, and design solutions that work for millions of inputs — not just the obvious ones. Whether you want to crack top tech company interviews, win collegiate competitions, or simply grow as a developer, CP is one of the fastest paths there.   "Competitive programming is not just about writing code — it is about th...

What Is Competitive Programming? — Blog Post First Post · April 2026 What Is Competitive Programming? A beginner's guide to the sport of coding — online judges, problem types, and the languages every competitive programmer should know. 8 min read · Algorithms & Problem Solving · Beginner Friendly Imagine a sport where the arena is your IDE, the clock is your opponent, and the prize is the satisfaction of seeing Accepted flash on your screen. That is competitive programming — and it has quietly become one of the most intellectually rigorous pursuits in the tech world. Competitive programming (often shortened to CP) is the practice of solving well-defined algorithmic problems within a fixed time limit, using a programming language of your choice. Problems are judged automatically by online systems that test your solution against hidden test cases. ...