Question 31
English source version: A collection of $n$ real numbers is written on the blackboard. It appears that the square of each written number is greater than the product of any two other written numbers. Find the greatest possible value of $n$. (I. Bogdanov)
Russian source version, translated: Several numbers are written on the blackboard. The square of any written number is greater than the product of any two other written numbers. What is the largest possible number of numbers on the blackboard? (I. Bogdanov)
Russian source version, translated: Several numbers are written on the blackboard. The square of any written number is greater than the product of any two other written numbers. What is the largest possible number of numbers on the blackboard? (I. Bogdanov)