
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 triangular array of numbers starting with the sequence 0, 2, 0, 2, $\dots$ along the edges and calculate the interior numbers by adding the two adjacent numbers from the previous row. Determine the sum of the numbers in the 100th row, assuming the pattern continues indefinitely.

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