
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, a "corner" of 3 cells was colored, after which the following operation was repeated 100 times: color all cells adjacent (by side) to any of the already colored cells. How many cells in total (including the cells of the original corner) were colored?

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