MathDB

On a blackboard , the 2016 numbers

\frac{1}{2016} , \frac{2}{2016} ,... \frac{2016}{2016}

are written. One can perfurm the following operation : Choose any numbers in the blackboard, say

a

and

b

and replace them by

2ab-a-b+1

. After doing 2015 operation , there will only be one number

t

Onthe blackboard . Find all possible values of

t

Problem Statement