
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
Pascal has a triangle. In the \( n \)th row, there are \( n+1 \) numbers \( a_{n, 0}, a_{n, 1}, a_{n, 2}, \ldots, a_{n, n} \) where \( a_{n, 0} = a_{n, n} = 1 \). For all \( 1 \leq k \leq n-1 \), \( a_{n, k} = a_{n-1, k} - a_{n-1, k-1} \). What is the sum of the absolute values of all numbers in the 2018th row?

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