
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
A paper square with an area equal to four times the area of a cell is placed on a sheet of grid paper. What is the minimum number of grid points that this square can cover? (A grid point is a point where the lines of the grid intersect; if a grid point lies on the edge of the square, it is considered covered.)

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