
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
Write the four numbers $1, 9, 8, 8$ in a row and perform the following operation: For each pair of adjacent numbers, subtract the left number from the right number and write the result between the two numbers. This is considered one operation. Then, perform the same operation on the resulting sequence of 7 numbers, and continue in this manner for a total of 100 operations. Find the sum of the numbers in the final sequence.

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