These are tasks for those who are intimidated by mathematics and sometimes want to stretch their minds. Or for those who are friends with mathematics and understand that any mathematical solution is based on more general laws, the laws of logic. They are also for those who love quirky puzzles, where causes lead to effects, and effects lead to consequences, and we gain new knowledge simply by analyzing the information that is given to us. The main characters of the work are the boy Archie and Mrs. Alice, who in childhood served Lewis Carroll as a prototype for creating the image of Alice from Through the Looking Glass. The book is written in the genre of literary hoax.