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Today I have a fun brain teaser for you,
It is called the Infinite Hotel Paradox. It was created by the legendary mathematician David Hilbert, to demonstrate how truly mind-bending the concept of infinity is to our human mind.
Rephrased, for any countably infinite set, there exists a bijective function which maps the countably infinite set to the set of natural numbers, even if the countably infinite set contains the natural numbers.
While this brain-teaser will not have a huge direct carry-over to your interviews/coding, solving these will help you get much better at problem-solving. These teasers work very similar brain muscles as your coding problems. So as long as you spend time developing your engineering knowledge, integrating these brain teasers is a fun way to develop your skills.
Key Highlights
Background- Imagine you were a hotel manager at a hotel with infinitely many rooms. Each of these rooms is occupied, giving the hotel an infinite number of guests.
Problem 1- Imagine a new person comes in asking for a room. How do you handle this?
Problem 2- Imagine a bus filled with an infinite number of people comes to you, looking for rooms for each passenger. Can you tackle this?
Problem 3- An infinite number of buses, each with an infinite number of passengers shows up. How can you get them all a room?
To those of you that are interested in the solutions, watch the video below.
How well did you do? Let me know in the comments below.
I created Technology Interviews Made Simple using new techniques discovered through tutoring multiple people into top tech firms. The newsletter is designed to help you succeed, saving you from hours wasted on the Leetcode grind. I have a 100% satisfaction policy, so you can try it out at no risk to you. You can read the FAQs and find out more here. Use the button below to get 20% off for upto a whole year.
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Go kill all and Stay Woke,
Devansh <3
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