
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 consists of several rows of numbers. From the second row onwards, each number in a row is equal to the sum of the two numbers directly above it. The last row contains only one number. The first row is made up of the first 100 positive integers arranged in ascending order. What is the number in the last row? (You may use exponential notation to express the number).

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