MathDB

Sasha and Serg plays next game with

100

-angled regular polygon . In the beggining Sasha set natural numbers in every angle. Then they make turn by turn, first turn is made by Serg. Serg turn is to take two opposite angles and add

1

to its numbers. Sasha turn is to take two neigbour angles and add

1

to its numbers. Serg want to maximize amount of odd numbers. What maximal number of odd numbers can he get no matter how Sasha plays?

Problem Statement