
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
A box contains a certain number of balls. Teacher Wang takes out half of the balls from the box for the first time, then puts 1 ball back into the box. The second time, he again takes out half of the balls from the box, then puts 1 ball back into the box. This process is repeated for a total of 2010 times. In the end, there are 2 balls left in the box. How many balls were originally in the box?

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