
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
Given that the sequence {a<sub>n</sub>} has a first term of 1 and a common difference of 2, and the sequence {b<sub>n</sub>} has a first term of 1 and a common ratio of 2, let c<sub>n</sub> = a$_{b_{n}}$, and T<sub>n</sub> = c<sub>1</sub> + c<sub>2</sub> + ... + c<sub>n</sub> (n ∈ N*), calculate the maximum value of n when T<sub>n</sub> < 2019.

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