#Algorithms

Write a function to determine if two strings are anagrams of each other. An anagram is a word or phrase formed by rearranging the letters of a different word or phrase. Provide the runtime complexity of your solution.

How would you implement a binary search algorithm? Please explain the logic behind it.

Write an algorithm to check if a given binary tree is a binary search tree (BST). Discuss the necessary properties of a BST that must be validated.

Implement an algorithm to detect a cycle in a linked list. You can use Floyd’s Tortoise and Hare algorithm for this purpose. If a cycle exists, return true; otherwise, return false.

You will engage in a discussion about algorithms and data structures. Be prepared to ask clarifying questions, start with a brute-force approach and then optimize, and explain your understanding of time and space complexity clearly.