
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
There are three types of components: A, B, and C. Among them, there are 300 B components and 200 C components. Using stratified sampling, a sample of size 45 is drawn, with 20 A components and 10 C components being drawn. In total, there are \_ components of the three types.

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