On a blackboard , the 2016 numbers 20161,20162,...20162016 are written.
One can perfurm the following operation : Choose any numbers in the blackboard, say a andb 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. combinatoricscombinatorics proposedcombinatorics unsolved