
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
On graph paper with a grid size of 1 cm, a circle with a radius of 100 cm is drawn, which does not pass through any vertices of the cells and does not touch the sides of the cells. How many cells can this circle intersect?

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