
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

Engineer Sergei received a research object with a volume of approximately 200 monoliths (a container designed for 200 monoliths, which was almost completely filled). Each monolith has a specific designation (either "sand loam" or "clay loam") and genesis (either "marine" or "lake-glacial" deposits). The relative frequency (statistical probability) that a randomly chosen monolith is "sand loam" is $\frac{1}{9}$. Additionally, the relative frequency that a randomly chosen monolith is "marine clay loam" is $\frac{11}{18}$. How many monoliths with lake-glacial genesis does the object contain if none of the sand loams are marine?

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