This question looks impossibly hard at first. But work carefully and the solution is beautiful.
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This puzzle is adapted from
This puzzle is adapted from a British Mathematical Olympiad question, but it makes for a very interesting technical coding interview question too. Part one is to find all solutions in non-negative integers so the sum of two square roots is the square root of 2023. The second is to generalize and write Python code to compute all solutions for the square root of a given natural number n. Thanks to Rohit for reviewing the computer code!
Based on BMO 2008/2009 Round 2 problem 1
https://bmos.ukmt.org.uk/home/bmo2-20...
Python Tutor code visualizer
https://pythontutor.com/visualize.htm...
References
Medium: are-you-smart-enough-to-solve-this-british-maths-problem
British Math Olympiad | 2009 Round 2 ...
It’s not as Obvious as it Seems... | ...
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Based on BMO 2008/2009 Round 2 problem 1
https://bmos.ukmt.org.uk/home/bmo2-20...
Python Tutor code visualizer
https://pythontutor.com/visualize.htm...
References
Medium: are-you-smart-enough-to-solve-this-british-maths-problem
British Math Olympiad | 2009 Round 2 ...
It’s not as Obvious as it Seems... | ...
Subscribe: https://www.youtube.com/user/MindYour...
Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
Book ratings are from January 2022.
My Books (worldwide links)
https://mindyourdecisions.com/blog/my...
My Books (US links)
Mind Your Decisions: Five Book Compilation
https://amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.2/5 stars on 224 reviews
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4/5 stars on 24 reviews
http://amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.1/5 stars on 38 reviews
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.2/5 stars on 76 reviews
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.3/5 stars on 30 reviews
http://amzn.to/XRm7M4
Mind Your Puzzles: Collection Of Volumes 1 To 3
https://amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 87 reviews
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.1/5 stars on 24 reviews
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.2/5 stars on 22 reviews
http://amzn.to/1NKbGlp
2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.
My Blog
https://mindyourdecisions.com/blog/
Twitter: preshtalwalkar
Merch
https://teespring.com/stores/mind-you...
Patreon
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Press
https://mindyourdecisions.com/blog/press
2 سال پیش
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