
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
For positive integer \(n\), let \(D(n)\) be the eventual value obtained when the digits of \(n\) (in base 10) are added up recursively until a one-digit number is obtained. For example \(D(4)=4\), \(D(2012)=D(5)=5\) and \(D(1997)=D(26)=D(8)=8\). If \(x\) denotes the 2012th Fibonacci number (i.e. the 2012th term of the sequence \(1, 1, 2, 3, 5, 8, 13, \ldots)\), find \(D(x)\).

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