
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
A series of cylindrical rings, each 1 cm thick, are stacked vertically on a peg. The uppermost ring has an outside diameter of 15 cm. The outside diameter of each successive ring below decreases by 2 cm compared to the one above it until a minimum outside diameter of 3 cm is reached. Calculate the vertical distance from the top of the uppermost ring to the bottom of the lowermost ring.

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