
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 a square floor tiled completely with congruent square tiles. The tiles on both diagonals are painted red instead of black, and there are also all tiles adjacent to these diagonals painted red. Determine the total number of tiles if there are 181 red tiles.
A) 2025
B) 2116
C) 2209
D) 2304

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