
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
Among the integers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, let the number of prime numbers be \( x \), the number of even numbers be \( y \), the number of perfect squares be \( z \), and the number of composite numbers be \( u \). Calculate the value of \( x + y + z + u \).

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