
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
Perform the following operation: between each pair of neighboring numbers, insert the number that results from subtracting the left number from the right number. Repeat the same operation on the new sequence, and so on. Find the sum of the numbers in the sequence that results after one hundred such operations.

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