Challenge: Implement a basic Queue and a Stack data structure using TypeScript.
Real-world Use: Queues are often used in scenarios like task scheduling, and Stacks are used for things like backtracking algorithms.
Challenge: Create a singly linked list and implement methods for insertion, deletion, and traversal.
Real-world Use: Linked lists are used in low-level memory management and can be useful for quick insertions and deletions.
Challenge: Implement a hash table with methods for inserting, deleting, and searching elements.
Real-world Use: Hash tables are used for quick data retrieval and are the underlying concept for objects in JavaScript.
Challenge: Implement a graph data structure and include methods for depth-first and breadth-first search.
Real-world Use: Graphs are used in social networks, recommendation engines, and routing algorithms like GPS.
Challenge: Implement a binary tree and include methods for inserting nodes and searching for a node.
Real-world Use: Binary trees are used in databases for indexing, in networking for routing tables, and in compilers for syntax trees.
Challenge: Implement QuickSort or MergeSort for sorting an array. Also, implement binary search.
Real-world Use: Sorting and searching are fundamental operations in databases and other data storage systems.
Challenge: Write a recursive function to calculate the factorial of a number or to generate Fibonacci sequence.
Real-world Use: Recursion is often used in tree traversal algorithms and divide-and-conquer strategies.
Challenge: Solve the Knapsack problem or coin change problem using dynamic programming.
Real-world Use: Dynamic programming is used in optimization problems, like resource allocation and scheduling.
Challenge: Implement an algorithm that uses the divide-and-conquer strategy, like finding the maximum/minimum element in an array.
Real-world Use: Divide and conquer is used in sorting algorithms like QuickSort and in numerical simulations.
Challenge: Write TypeScript code that demonstrates the use of advanced types like generics, union types, and literal types.
Real-world Use: Advanced types are used for creating robust and scalable codebases.
Challenge: Write TypeScript code that uses decorators.
Real-world Use: Decorators are used in frameworks like Angular for dependency injection and declaring metadata.
Challenge: Explain various compiler options in the tsconfig.json file and their use cases.
Real-world Use: Compiler configuration is essential for optimizing the performance and behavior of TypeScript applications.