Can Someone please clarify this for me

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

The question asks for the “least” pieces the first person has to take to have the greatest number of candies.

So give everyone a candy. You have 84 left. The first person can now take any number of candies from 0 to 84. So to get the least amount of candies, start from 0.