INSANE exam questions from the University of Tokyo

A look at the 2021 University of Tokyo mathematics entrance exam. I have translated the questions into English.
Original questions (in Japanese): https://www.u-tokyo.ac.jp/content/400160388.pdf
Solutions to all questions (in Japanese) from Kawaijuku Educational Institution: https://kaisoku.kawai-juku.ac.jp/nyushi/honshi/21/t01-21a.pdf
Can a robot pass a university entrance exam? | Noriko Arai: https://youtu.be/BXcFEhl7ynM
Video solutions to each problem (in Japanese) on this channel: https://youtu.be/RQi7XvY4Cok
Huge library of past problems (in Japanese): http://server-test.net/math/tokyo/

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Timestamps:
0:00 - Intro
1:18 - A look at the questions
4:35 - My solutions to Q2
9:16 - Patron Cat of the Day

Видео INSANE exam questions from the University of Tokyo канала Tibees