DSA - Progress Tracker

[aryndevelop]

Syllabus Tracker :

• Complete Git & GitHub Course

• Introduction to Programming

  • Types of languages
  • Memory management

• Flow of the program

  • Flowcharts

  • Pseudocode

• Introduction to Java

  • Introduction

  • How it works

  • Setup Installation

  • Input and Output in Java

  • Conditionals & Loops in Java

    • if-else

    • loops

    • Switch statements

  • Data-types

  • Coding best practices

• Functions

  • Introduction

  • Scoping in Java

  • Shadowing

  • Variable Length Arguments

  • Overloading

• Arrays

  • Introduction

  • Memory management

  • Input and Output

  • ArrayList Introduction

• Searching

  • Linear Search

  • Binary Search

  • Modified Binary Search

  • Binary Search on 2D Arrays

• Sorting

  • Insertion Sort

  • Selection Sort

  • Bubble Sort

  • Cyclic Sort

• [Sliding window]

• [Two pointers]

• [Subarray questions]

• Pattern questions

• Strings

  • Introduction

  • How Strings work

  • Comparison of methods

  • Operations in Strings

  • StringBuilder in java

• Maths for DSA

  • Introduction

  • Complete Bitwise Operators

  • Range of numbers

  • Prime numbers

  • Sieve of Eratosthenes

  • Newton's Square Root Method

  • Factors

  • Modulo properties

  • Number Theory

  • HCF / LCM

  • Euclidean algorithm

• Recursion

  • Introduction

  • Flow of recursive programs - stacks

  • Why recursion?

  • Tree building of function calls

  • Tail recursion

  • Sorting

    • Merge Sort

    • Quick Sort

  • Backtracking

    • N-Queens

    • N-Knights

    • Sudoku Solver

    • Maze problems

  • Recursion String Problems

  • Recursion Google, Amazon Questions

  • Recursion Array Problems

  • Recursion Pattern Problems

  • Subset Questions

• Space and Time Complexity Analysis

  • Introduction

  • Comparisons of various cases

  • Solving Linear Recurrence Relations

  • Solving Divide and Conquer Recurrence Relations

  • Big-O, Big-Omega, Big-Theta Notations

  • Little Notations

  • Get equation of any relation easily - best and easiest approach

  • Complexity discussion of all the problems we do

  • Space Complexity

  • NP-Completeness Introduction

• Object Oriented Programming

  • Introduction

  • Classes & its instances

  • this keyword in Java

  • Properties

    • Inheritance

    • Abstraction

    • Polymorphism

    • Encapsulation

  • Overloading & Overriding

  • Static & Non-Static

  • Packages

  • Access Control

  • Interfaces

  • Abstract Classes

  • Annotations

  • Singleton Class

  • final, finalize, finally

  • Object Cloning

  • Object Class

  • Generics

  • Exception Handling

  • Collections Framework

  • Vector Class

  • Lambda Expression

  • Enums

• Linked List

  • Introduction

  • Singly + Doubly + Circular LinkedList

  • Fast and slow pointer

  • Cycle Detection

  • Reversal of LinkedList

  • Linked List + Recursion

• Stacks & Queues

  • Introduction

  • Interview problems

  • Push efficient

  • Pop efficient

  • Queue using Stack and Vice versa

  • Circular Queue

• Trees

  • Introduction

  • Binary Trees

  • Binary Search Trees

  • DFS

  • BFS

  • AVL Trees

  • Segment Tree

• Heaps

  • Introduction

  • Theory

  • Priority Queue

  • Heapsort

  • Two Heaps Method

  • k-way merge

  • Top k elements

  • Interval problems

• HashMap

  • Introduction

  • Theory - how it works

  • Comparisons of various forms

  • Limitations and how to solve

  • Map using LinkedList

  • Map using Hash

  • Count Sort

  • Radix Sort

  • Chaining

  • Probing

  • Huffman-Encoder

• Subarray Questions: Sliding window, Two Pointer, Kadane's Algorithm

• Graphs

  • Introduction

  • BFS

  • DFS

  • Working with graph components

  • Minimum Spanning Trees

  • Kruskal Algorithm

  • Prims Algorithm

  • Dijkstra’s shortest path algorithm

  • Topological Sort

  • Bellman ford

  • A* pathfinding Algorithm

• Dynamic Programming

  • Introduction

  • Recursion + Recursion DP + Iteration + Iteration Space Optimized

  • Complexity Analysis

  • 0/1 Knapsack

  • Subset Questions

  • Unbounded Knapsack

  • Subsequence questions

  • String DP

• Greedy Algorithms

• Tries

Advanced concepts apart from interviews

• Fast IO

• File handling

• Bitwise + DP

• Extended Euclidean algorithm

• Modulo Multiplicative Inverse

• Linear Diophantine Equations

• Matrix Exponentiation

• Mathematical Expectation

• Catalan Numbers

• Fermat’s Theorem

• Wilson's Theorem

• Euler's Theorem

• Lucas Theorem

• Chinese Remainder Theorem

• Euler Totient

• NP-Completeness

• Multithreading

• Fenwick Tree / Binary Indexed Tree

• Square Root Decomposition