
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 square floor is fully covered with square tiles of the same size. The two diagonals are covered with black tiles, and the rest are covered with white tiles. If there are 101 black tiles in total, calculate the total number of tiles used to cover the floor.

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