
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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$ .

Present the answer in LaTex format: \boxed{Your answer}
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