RU-ALLRUSSIAN 1991 Problem 2
- Answer
n numbers are written on a blackboard. Someone then repeatedly erases two numbers and writes half their arithmetic mean instead, until only a single number remains. If all the original numbers were 1, show that the final number is not less than .
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\mathrm{k} \geq 1 / \mathrm{n}
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.