
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
Sally the snail sits on the \(3 \times 24\) lattice of points \((i, j)\) for all \(1 \leq i \leq 3\) and \(1 \leq j \leq 24\). She wants to visit every point in the lattice exactly once. In a move, Sally can move to a point in the lattice exactly one unit away. Given that Sally starts at \((2,1)\), compute the number of possible paths Sally can take.

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