
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 this problem, our lawn consists of a row of \( n \) clumps of grass. Each mobot may be oriented toward the north, south, east, or west. Compute the number of different allowable formations for any given \( n \).

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