
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
Point P moves one unit to the right for the first time, two units to the left for the second time, three units to the right for the third time, four units to the left for the fourth time, and so on. Determine the distance of point P from the origin after 100 moves.

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