Question 60
Livia has a deck of $n$ cards. She proceeds to discard the cards of the deck according to the following pattern: In each consecutive round, she will remove the cards numbered $1$, $2$, $4$, $6$, $8$, … (i.e., the card numbered $1$ and all the cards with an even number), to produce a thinner deck. This procedure is then repeated ad infinitum. How many such rounds are required to reduce the deck to nil?