Breaking Down a Challenging Binary Operation Problem
I go over a challenging problem on binary operations. This problem is motivated by 2025 Berkeley Math Tournament. I discuss how I approach this math competition problem and how I end up with a solution. Link to the video notes: https://umd.box.com/s/0lov00imy19tzlq... Functional Equation Problems: • Functional Equations IMO Problems: • IMO, The International Mathematical Olympiad Putnam Problems: • Putnam Math Competition IMC Problems: • IMC, International Math Competition IMO 2024: A2: • IMO 2024 Shortlist A2 | Algebra Problem Br... A3: • This Old Trick Solves IMO 2024 Problem A3 ... A5: • IMO 2024 Shortlist A5 | Step by Step Solution N1: • IMO 2024 Shortlist N1 | Breakdown of a Num... N2: • IMO 2024 Shortlist N2 | Challenging Number... IMO 2023: P1: • International Math Olympiad, IMO 2023, Pro... P2: • International Math Olympiad, IMO 2023, Pro... P4: • International Math Olympiad, IMO 2023, Pro... P5: • International Math Olympiad, IMO 2023, Pro... A2: • International Math Olympiad, IMO 2023, Sho... A4: • International Math Olympiad, IMO 2023, Sho... IMO 2022: P2: • International Mathematical Olympiad, IMO 2... A2: • International Math Olympiad, IMO 2022, A2,... N2: • IMO 2022, N2, A Neat Number Theory Problem... N3: • International Math Olympiad, IMO 2022, Sho... N8: • International Math Olympiad, IMO 2022, Sho... IMO 2021: P1: • International Math Olympiad, IMO 2021, Pro... A1: • International Math Olympiad, IMO 2021, Sho... A2: • International Math Olympiad, IMO 2021, Sho... A3: • International Math Olympiad, IMO 2021, Sho... C1: • International Math Olympiad, IMO 2021, Sho... N3: • International Math Olympiad, IMO 2021, An ... IMO 2020: P2: • International Math Olympiad, IMO 2020, Pro... IMO 2019: A5: • International Math Olympiad, IMO 2019, Sho... A6: • IMO 2019, Shortlisted Problem, A6, Multiva... N2: • International Math Olympiad, IMO 2019, Sho... IMO 2018: A1: • International Math Olympiad, IMO 2018, Fun... IMO 2011: A2: • IMO 2011, Shortlisted Algebra Problem A2 G2: • International Math Olympiad 2011 | Problem G2 IMO 2005: P4: • International Math Olympiad, IMO 2005, Pro... N4: • International Math Olympiad, IMO 2005, Num... IMO 1987: P4: • International Math Olympiad, IMO 1987, Pro... IMO 1977: • A Challenging IMO Functional Equation Prob... IMO 1961: P1: • International Math Olympiad, IMO 1961, Pro... P3: • International Math Olympiad, IMO 1961, Pro...
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