
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 sequence of linked rings, each $1$ cm thick, hangs on a peg. The top ring has an outside diameter of $24$ cm. The outside diameter of each subsequent ring is $2$ cm less than that of the ring directly above it. The bottom ring has an outside diameter of $2$ cm. Additionally, there is a fixed peg top height of $1$ cm above the top ring and a base bottom height of $1.5$ cm below the bottom ring. Calculate the distance, in cm, from the top of the peg to the bottom of the base.
A) $146$
B) $146.5$
C) $147$
D) $148$

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