
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
Consider a series of $n$ positive numbers: $a_1, a_2, \dots, a_n$. Let the product of the first $n$ terms be $T_n$. Define $\lg(T_1 \cdot T_2 \cdot \ldots \cdot T_n)$ as the "relative stacked product". For a series of 2014 terms where the sequence is 10, $a_1, a_2, \dots, a_{2013}$ and the "relative stacked product" for the series $a_1, a_2, \dots, a_{2013}$ is 2013, determine the "relative stacked product" for this new series.

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