
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
Create an updated problem statement:
A checkerboard consists of 3 rows and 4 columns. Each cell of this checkerboard is a square of size $1 \times 1$. Calculate the total number of different squares that can be formed by the lines of the grid, including all possible square sizes.

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