
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
In a semi-manual production process, when casting blanks into molds and machining them into parts, only \(66 \frac{2}{3} \%\) of the blank material was used for each part, and the rest was turned into shavings. To save the scarce material, the shavings were remelted and recast into new blanks. What is the maximum number of parts that can be produced from 20 identical blanks, and what will be the waste?

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