
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 30 mushrooms in a basket. Among any 12 of them, there is at least one saffron milk cap, and among any 20 mushrooms, there is at least one milk cap. How many saffron milk caps and how many milk caps are in the basket?

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