
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
In a restaurant, there are two types of dining tables: square tables that can seat 4 people and round tables that can seat 9 people. If the number of diners exactly fills several square and round tables, the restaurant manager calls this number a "Prosperity Number". Among the numbers from 1 to 100, there are ____ "Prosperity Numbers".

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