
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
The numbers 2, 3, 5, 7, 11, 13, 17, and 19 are arranged to form two groups, each containing four numbers, arranged in a multiplication table:
\[
\begin{array}{c||c|c|c|c|}
\times & a & b & c & d \\ \hline \hline
e & & & & \\ \hline
f & & & & \\ \hline
g & & & & \\ \hline
h & & & & \\ \hline
\end{array}
\]
Complete the multiplication table and find the largest possible sum of all sixteen entries, with the additional condition that each row must contain at least one number which is consecutive to a number in its column.

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