
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
There is a table of numbers with 20 rows and 15 columns. Let \( A_{1}, \ldots, A_{20} \) be the sums of the numbers in each row, and \( B_{1}, \ldots, B_{15} \) be the sums of the numbers in each column.

a) Is it possible that \( A_{1}=\cdots=A_{20}=B_{1}=\cdots=B_{15} \)?

b) If the equalities in part (a) hold, what is the value of the sum \( A_{1} + \cdots + A_{20} + B_{1} + \cdots + B_{15} \)?

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