KöMaL problem A, 2017

Combinatorics Difficulty 5.0 AIME, harder Find the answer Hungary

$100$ betyárs stand on the Hortobágy plains. Every betyár's field of vision is a $100$ degree angle. After each of them announces the number of other betyárs they see, we compute the sum of these $100$ numbers. What is the largest value this sum can attain?

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