
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
A table of numbers consists of several rows. Starting from the second row, each number in a row is the sum of the two numbers directly above it. The last row contains only one number. The first row is the first 100 positive integers arranged in ascending order. What is the number in the last row? (You may express the answer using exponents).

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