
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
Place all terms of the arithmetic sequence \(2, 6, 10, 14, \cdots, 2006\) closely together to form a large number \(A = 261014 \cdots 2006\). Find the remainder when \(A\) is divided by 9.

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