MathDB
bluetooth network consisting of 1 master and many connected slaves.

Source: 2007 Estonia Open Olympiad Senior

March 27, 2020
combinatorics

Problem Statement

A Bluetooth device can connect to any other Bluetooth device that is not more than 1010 meters from him. A piconet is called a bluetooth network consisting of one master and a plurality of connected slaves. What is the greatest number of slaves, what can be on the pickup provided that all devices are on the same level and all slaves are out of range of each other?