35. The exchange rate of the cryptocurrency Chuhoin on March 1 was one dollar, and then it increased by one dollar every day. The exchange rate of the cryptocurrency Antonium on March 1 was also one dollar, and then each subsequent day it was equal to the sum of the previous day's rates of Chuhoin and Antonium, divided by their product. What was the price of Antonium on May 31 (i.e., on the 92nd day)
35. Answer: 92/91 dollars. It is not difficult to prove by induction that on each day with an odd number, Antonium costs 1 dollar, and on an even day with number $2 n$, he costs $2 n /(2 n-1)$ dollars.