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Australian AMC 2023 - Intermediate Question 28

AMC AUSTRALIA · Australian AMC 2023 - Intermediate

Question 28

The elves choose who will attend the annual magic conference. They sit in a circle and chief elf Elvin starts counting around it, starting with himself. Every second elf counted drops out, and counting continues until Elvin drops out. All elves still in the circle then attend. This year there are 1000 elves. How many attend?