
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 $5 \times 5$ table, there is one of the numbers $1, 2, 3, 4, 5$, arranged in such a way that each number from 1 to 5 appears exactly once in each row, each column, and each of the two diagonals of the table. What is the maximum possible sum of the five numbers located in the cells marked with dots in the drawing?

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