
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 consisting of "ryzhiki" and "gruzdi" in a basket. Among any 12 mushrooms, there is at least one "ryzhik", and among any 20 mushrooms, there is at least one "gruzd". How many "ryzhiki" and how many "gruzdi" are in the basket?

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