
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
Twelve stones are arranged in a circle. Each stone is numbered from 1 to 12 clockwise, and then counting continues counterclockwise from the stone labeled 11 as 13, the stone labeled 10 as 14, and so on, wrapping around continually. The pattern then reverses direction every time it completes a full lap around the circle, switching from clockwise to counterclockwise and vice versa. What is the label of the original stone that is counted as 100?

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