
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
If a large square floor is divided into four smaller congruent square sections, each covered with congruent square tiles, and the total number of tiles that lie on the main diagonal of the entire large square is 75, determine the total number of tiles that cover the entire large square floor.

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