
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 stack of metal washers, each 2 cm thick, is placed on a rod. The top washer has an outer diameter of 24 cm. Each subsequent washer's outer diameter is 2 cm less than the washer above it. The smallest washer at the bottom has an outer diameter of 4 cm. Find the total height, in cm, from the top of the uppermost washer to the bottom of the lowest washer, including an extra 1 cm for a hook at the top and bottom.

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