#Algorithms

Explain your approach to solving problems related to linked lists. What are the common operations you can perform on a linked list and their time complexities?

You are expected to solve three interlinked tree problems within one hour, considering both time and space complexity. Demonstrate your understanding of tree traversal, balancing, and manipulation.

Design an algorithm to validate a string of parentheses. Provide your reasoning and a code example.

Solve a medium level DSA problem that requires a solid understanding of algorithms and data structures. Describe your approach in detail.

Implement a polyfill for the Array.prototype.sort() method using Quick Sort. Explain how the recursion works in your implementation and what edge cases should be considered.