MathDB

300

people took part in the drawing for the main prize of the television lottery. They lined up in a circle, then, starting with someone who received number

1

, they began to count them. Moreover, every third person dropped out every time. (So, in the first round, everyone with numbers divisible by

3

dropped out). The counting continued until there was only one person left. (It is clear that more than one circle was made). This person received the main prize. (It “accidentally” turned out to be the TV director’s mother-in-law). What number did this person have in the initial lineup?

Problem Statement