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This classic puzzle was once asked in a Google interview 👀 100 lockers, 100 students… and a surprising twist. Each locker gets toggled once for every divisor it has. 🔑 Most numbers have divisors in pairs → even toggles → locker ends up closed. ✨ But perfect squares have one unpaired divisor → odd toggles → locker stays open. So in the end, only lockers numbered 1, 4, 9, 16 … 100 remain open. A beautiful mix of logic and number theory, hidden in such a simple problem! Would you have guessed the
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The locker problem: 1000 lockers and 1000 students. Student 1 opens every locker. Student 2 closes every other locker. Student 3 changes every 3rd locker (closed -> open, open -> closed), etc. Which lockers are open at the end of this scenario? #math | Learning Math with Howie Hua
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