Solve the "six eggs" Russian word-play puzzle

I once applied to a startup as a data scientist, and they asked me to solve this. Any ideas?

Solving a labyrinth using reinforcement learning

Puzzle solver

A game of iterational light bulbs switching

Write a Python program that will solve the problem described

Puzzle from the www.cloudware.pl company

A Repast Simphony 2.1 simulation for an icebreaking game

A puzzle solver of a problem "where to move in" to stay in touch with friends.