
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
Consider an L-shaped grid formed as follows: There are six rows and columns forming a $6 \times 6$ square grid, but a $2 \times 2$ square block is missing from the lower-left corner of this grid (positioned at rows 5-6, columns 1-2). How many different squares can be traced using the lines in this modified grid?

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