Game of Chef

Chef is playing a game with his friends.He and his friends are numbered through 1 to N. There is a reward system in the game, if a player wins at a time his/her points will get incremented by 1 and rest of them get decremented by 1, it is assumed that initially every one has zero point. At the end of the game, a group of contiguous people will be awarded with prize money, if the sum of points of t