
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, with counts of $a$, 300, and 200, respectively. A stratified sampling is conducted to select a sample of size 45. Among them, 10 samples of type C components have been picked. Hence, the total count for these three types of components is _________.

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