
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 flea starts at point O on a straight line. For the first jump, it moves 1 unit to the right, then for the second jump, it moves 4 units to the left, for the third jump, it moves 9 units to the right, for the fourth jump, it moves 16 units to the left, and so on, following this pattern. What is the distance from point O to the landing point after its 100th jump?

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