
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
Construct a triangular array of numbers starting with initial values 1 on the sides and interior numbers obtained by adding the two adjacent numbers from the previous row. Rows 1 through 4 are shown:

\[
\begin{array}{ccccccccc}
& & & 1 & & 1 & & & \\
& & 1 & & 2 & & 1 & & \\
& 1 & & 3 & & 3 & & 1 & \\
1 & & 4 & & 6 & & 4 & & 1 \\
\end{array}
\]

Find the sum of the numbers in the 50th row.

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