MathDB
max in 10, all either always tell the truth either always tells lies

Source: Caucasus 2015 9.1

April 26, 2019
combinatoricsTrue or False

Problem Statement

At the round table, 1010 people are sitting, some of them are knights, and the rest are liars (knights always say pride, and liars always lie) . It is clear thath I have at least one knight and at least one liar. What is the largest number of those sitting at the table can say: ''Both of my neighbors are knights '' ? (A statement that is at least partially false is considered false.)