Maximum length of same class

Rahul is a Bachelor of Technology (BTech) student from Indore Institute of Science and Technology. One day he go to his college canteen and he saw a huge line. He found it very boring to stand in queue. So he decided to stand on that range of the queue where he saw longest consecutive length in queue of his year students, So that he can enjoy with his batchmates. The $i_{th}$ student of queue is