Navigating Lab Challenges and Hamiltonian Paths

A research team discovers a prehistoric virus in a lab. An earthquake breaks the vials, releasing the virus in a 4x4 room grid. The challenge is to destroy the virus in each room using a self-destruct switch, without re-entering any room. This problem relates to the Hamiltonian path problem, which is complex and involves visiting each point exactly once. The video explains why a true Hamiltonian path is impossible in this scenario but offers a solution by revisiting the uncontaminated entrance room. The video concludes with a successful strategy to prevent a viral outbreak.

What event caused the lab's power outage, leading to the virus containment issue?

• An earthquake

• A sudden storm

• A power surge

• A fire outbreak

How many rooms are in the lab compound that you need to navigate?

• 24 rooms

• 16 rooms

• 12 rooms

• 20 rooms

What is the main challenge in navigating the lab to destroy the virus?

• Avoiding security cameras

• Deactivating the alarm system

• Finding the right key

• Visiting each contaminated room without missing any

What mathematical problem is related to the puzzle of navigating the lab?

• Fibonacci sequence

• Hamiltonian path problem

• Pythagorean theorem

• Euler's formula

Why is the Hamiltonian path problem considered difficult?

• It requires complex calculations

• It is NP-complete and lacks a reliable solution method

• It involves large numbers

• It is unsolvable

Why is a true Hamiltonian path impossible in the lab's grid?

• The grid is not square

• The grid has an even number of rooms on each side

• The grid has an odd number of rooms

• The grid is too small

What analogy is used to explain the impossibility of a Hamiltonian path in the lab?

• A Sudoku grid

• A chessboard

• A checkerboard

• A tic-tac-toe board

What unique feature of the entrance room allows you to solve the puzzle?

• It contains extra supplies

• It is not contaminated

• It has a hidden exit

• It has a map of the lab

How many options for a successful route are available after utilizing the entrance room's unique status?

• Two options

• Three options

• Four options

• Five options

What career is humorously suggested after solving the lab puzzle?

• A mathematician

• A scientist

• A traveling salesman

• A detective