A process with boxes containing stones
Source: 2019 Belarus Team Selection Test 2.3
September 2, 2019
number theoryprimitive rootcombinatorics
Problem Statement
stones are placed into two non-empty boxes. Each second Alex chooses a box with an even amount of stones and shifts half of these stones into another box.
Prove that for each , , at some moment there will be a box with exactly stones.(O. Izhboldin)