
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
Today is January 30th, and we write down 130. The rule for writing the subsequent numbers is as follows: If the last number written is even, divide it by 2 and add 2 to get the next number. If the last number written is odd, multiply it by 2 and subtract 2 to get the next number. Starting with 130, we get: 130, 67, 132, 68, etc. What is the 2016th number in this sequence?

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