
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 similar to the original problem but with a different pattern: 0, 1, 2, 3, ..., along the sides and interior numbers obtained by adding the two adjacent numbers in the previous row plus an additional 4 each time a new row is formed, starting from the second row. Determine the sum of the numbers in the 50th row, expressed in exponential notation in simplest form.

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