## Posts of ALGORITHM

### The catalan series

The article discusses Catalan numbers, a sequence used in combinatorial problems. It covers their recurrence relation, closed form, and applications in path counting. It provides insights into problem-solving using Catalan numbers.

### The Master Theorem For Time Complexity

In this article, we will model the time complexity of divide and conquer using mathematical methods, analyze its asymptotic properties, and provide three methods of calculation.

### The Bash Game

A pile of stones, two people take turns to take at least 1 stone and at most 2 stones. Whoever gets the last stone loses.

### fast inverse square root

The article introduces an algorithm called Fast Inverse Square Root, which is used to quickly calculate the inverse square root of a floating point number.

### how do computer calculate the log-function

### Moore's Voting Algorithm for Finding Majority Element

Moore's Voting Algorithm is an algorithm used to find the element that appears more than half the time in an array.

### A Star Algorithm

A* search algorithm is a path finding algorithm that finds the single-pair shortest path between the start node(source) and the target node(destination) of a weighted graph.

### Rabin-Karp Algorithm

It is designed to address the multiple pattern string matching problem.

### Joseph Circle Problem

A description, analysis and solution for joseph circle problem.

### Problem: Element Combination using Marking Method

This article presents an algorithm for the problem of selecting combinations of elements.