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title
nivotko
description
site name
nivotko
author
updated
2026-03-08 10:04:14
raw text
nivotko Skip to content nivotko Menu and widgets Publications Research Numerical Analysis People Math Olympiad Catatan Olimpiade Matematika Scrapbook: COVID-19 Indonesia Sportstories… Language Theory and Automata Recommendations Surjective Clock Sequence The following analog clock has two hands that can move independently of each other. Initially, both hands point to the number . The clock performs a sequence of hand movements so that on each movement, one of the two hands moves clockwise to the next number on the clock while the other hand does not move. Let be the number of sequences of 144 hand movements such that during the sequence, every possible positioning of the hands appears exactly once, and at the end of the 144 movements, the hands have returned to their initial position. Find the remainder when is divided by . Discussion. The problem is from AIME 2023, number 14. I think this is one of the most beautiful problem in the contes...
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