Question 115
Three positive integers are written on a blackboard. Per move one replaces the set of these numbers by the new set in accordance with the following rule: each number of the set is replaced by the quotient of the sum of the squares of two other numbers and this number.
What is the maximum value of the sum of the initial numbers written on the blackboard if after 5 moves the sum of the numbers on the blackboard is equal to 2016?
(V. Karamzin)
What is the maximum value of the sum of the initial numbers written on the blackboard if after 5 moves the sum of the numbers on the blackboard is equal to 2016?
(V. Karamzin)