16 children are standing in line to reciee a total of 100 candies with each child guarenteed to recieve at least one. At least how many pieces must the first child recieve so that he/she has the greatest among the 16 kids after all the candies are distributed.

Greg solved it in the order 44-43-1-1-1-1-1-1-1-1-1-1-1-1-1-1

but is it possible that it could be solved such that the first kid recieves 85-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1.

Since the question does not mention there has to be an equality between the first and the remaining 15