
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
In the given square lattice where each point is one unit away from its nearest neighbor, determine the number of squares that can be formed where all four vertices are on lattice points. Assume the lattice forms a 3x3 grid of points.

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