
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 that the $3 \times 3$ block of calendar dates is initially displayed as $\begin{tabular}[t]{|c|c|c|} \hline 5 & 6 & 7 \\ \hline 8 & 9 & 10 \\ \hline 11 & 12 & 13 \\ \hline \end{tabular}$, reverse the order of the numbers in the first and the third rows and calculate the sum of the numbers on one diagonal (from top left to bottom right) along with the numbers occupying the edge positions of the matrix.

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