
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 covered with congruent square tiles, such that if the sum of the tiles on the two diagonals is equal to 25, determine the total number of tiles needed to cover the entire floor.

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