
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 1 unit to the right for the first time, 2 units to the left for the second time, 3 units to the right for the third time, 4 units to the left for the fourth time, and so on. Calculate the distance from point P to the origin after 100 moves.

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