
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
Seven points on a circle are numbered 1, 2, 3, 4, 5, 6, and 7 in clockwise order. A spider jumps in a clockwise direction from one point to another, obeying these rules: if the number of the point where it rests is odd, it hops one point; if even, it hops three points. The spider starts on point 6. Determine the position of the spider after exactly 2055 jumps.

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