
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
A set of numbers 2, 3, 4, 5, 7, 11, 13, 14 is used to fill a 4x4 multiplication table. Four numbers are placed along the top and the other four down the side. After filling out the multiplication table and summing all entries within, what is the largest possible sum of the sixteen entries?

\[
\begin{array}{c||c|c|c|c|}
\times & a & b & c & d \\ \hline \hline
e & & & & \\ \hline
f & & & & \\ \hline
g & & & & \\ \hline
h & & & & \\ \hline
\end{array}
\]

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