Required Mathematical Intelligence

Chapter 6 Who is left at the end
Athletes from 1 to 50 line up in a row in order.The coach ordered: "Single-numbered athletes go out!" The remaining athletes lined up and numbered again.The coach ordered again: "Single-numbered players come out!" If this continues, there will be only one player left. What is the number of players?If the order from the coach is "Athletes with an even number come out!" Who will be left at the end?
[Answer: This question seems complicated, let’s analyze the rules first. ①The "remaining" players are gradually moving closer to the middle. ②The number of the remaining athletes for the first time can be divisible by 2, the number of the remaining athletes for the second time can be divisible by 4, and the number of the remaining players for the third time can be divisible by Divisible by 2... the rest of the Nth time is divisible by 2 to the Nth power.The last remaining number is divisible by 32, that is, the last remaining player is number 32. ]
(End of this chapter)