
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
In each cell of a \(75 \times 75\) table, a natural number is written. Each row contains at least 15 different numbers, and in every three consecutive rows, there are no more than 25 different numbers. What is the maximum number of different numbers that the table can contain?

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