"One Of The Hardest Problems Ever"

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This question stumped some of the smartest maths students in Australia, and there's no way I would have solved it in an exam! Can you figure it out?

Syndey Morney Herald and video solution
https://www.smh.com.au/education/the-state-s-top-maths-students-show-us-how-to-answer-the-hardest-hsc-question-20181220-p50nd2.html

Official test and solutions available at
https://educationstandards.nsw.edu.au/wps/portal/nesa/resource-finder/hsc-exam-papers/2018/mathematics-extension-2-2018-hsc-exam-pack

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