
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 a certain number of identical plastic bags that can be nested within each other. If all the other bags are inside one of the bags, we call this situation a "bag of bags." Calculate the number of ways to make a "bag of bags" from 10 bags.

Explanation: Use parentheses to denote a bag.

If we had one bag, the way to make a "bag of bags" would be: (). Two bags can be nested in only one way: (()).

Three bags can be nested in two different ways: $(()())$ and $((()))$, and so on.

The order of bags inside the bag matters. For example, the arrangement $(())())$ is different from $(()(()))$.

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