
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
Six points on a circle are numbered 1, 2, 3, 4, 5, and 6 in clockwise order. Determine the point where the bug will be after 2000 jumps, given that if the bug is on an odd-numbered point, it moves one point, if it is on an even-numbered point divisible by 4, it moves three points, otherwise, it moves two points.

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