
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
Consider a modified triangular array of numbers starting with 0, 1, 2, 3, $\dots$ along the sides, but now every number in the interior is obtained by adding the two adjacent numbers in the previous row and then adding an additional 1. Calculate the sum of the numbers in the 50th row using exponential notation, in simplest form.

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