
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 a $13 \times 13$ table, numbers are written such that the sum of the numbers in the 13 rows and 13 columns are equal. What is the minimum number of numbers that need to be changed in the table to ensure that the sums of the 26 rows and columns are not all equal?

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