
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 batch of parts has three grades: first grade, second grade, and third grade. There are 24 first-grade parts and 36 second-grade parts. A stratified sampling method is used to take a sample of size 20. If exactly 10 third-grade parts are sampled, then the number of third-grade parts in the batch is ______, and the number of second-grade parts sampled is ______.

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