time complexity analysis

In the world of Climb King, adventurers flock to a mysterious tower, aiming to reach its top and have their wishes granted. The tower comprises multiple floors, each with its own layout of locations, paths, and keys. I am trying to help the adventurers find the optimal route to climb the tower as fast as possible.

The project finds the best spots for restaurants, avoiding placing restaurants too close together, and maximizing profit while keeping them a minimum distance apart. It uses dynamic programming to compute revenue and backtracking to select sites.

I am helping Alice to modify the auto-complete feature on her phone to display only one word, along with its definition and the number of words in the dictionary that have the same prefix as the entered word. She has a dictionary containing English words, their frequencies, and definitions.

For a mind-free weekend getaway, it allocates individuals to vehicles, ensuring each has ≥2 drivers, following rules and preferences. It initializes, allocates drivers, assigns remaining individuals based on preferences, and validates the allocation, employing a greedy approach, returning None if any step fails, or the achieved allocation otherwise.