
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
Given that a square-shaped area is covered entirely by congruent square tiles, and the total number of tiles that lie along the two diagonals of the square is 25, calculate the number of tiles used to cover the entire square area.

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