
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 a square-shaped floor covered with congruent square tiles, if the total number of tiles that lie along the two diagonals is 49, determine the number of tiles covering the entire floor.

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