MathDB
It is important to divide pizza equally

Source: 44th International Tournament of Towns, Senior A-Level P7, Fall 2022

February 16, 2023
combinatoricsgeometryTournament of Towns

Problem Statement

There are NN{} friends and a round pizza. It is allowed to make no more than 100100{} straight cuts without shifting the slices until all cuts are done; then the resulting slices are distributed among all the friends so that each of them gets a share off pizza having the same total area. Is there a cutting which gives the above result if a) N=201N=201 and b) N=400N=400?