16 children are standing in line to receive a total of 100 pieces of candy, with each child guaranteed to receive at least 1 piece. At least how many pieces must the first child in line receive to ensure that he or she has the greatest number after all 100 pieces are distributed?
For this question, Greg gives the answer as 44. However, since it is asked that the 1st child has to receive the greatest number, why can’t it be 43? The 1st and the 2nd child both might receive 43 pieces and it still satisfies the required condition. Can someone clear my doubt?