
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 pottery studio has blocks of clay colored differently on each side - red, blue, and green. Each block is a right rectangular prism 4 inches by 3 inches by 2 inches. How many whole blocks of each color (assuming all sides of one block are the same color) need to be opened to make a cylindrical pot 10 inches high with a diameter of 5 inches, if the sculpture must have alternating layers of different colors every 2.5 inches?

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