MathDB
Number a betyars a betyar sees

Source: KoMaL A. 707

May 21, 2023
combinatorics

Problem Statement

100100 betyárs stand on the Hortobágy plains. Every betyár's field of vision is a 100100 degree angle. After each of them announces the number of other betyárs they see, we compute the sum of these 100100 numbers. What is the largest value this sum can attain?