
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
Let set $P = \{-1, 0, 1\}$ and set $Q = \{0, 1, 2, 3\}$. Define $P * Q = \{(x, y) | x \in (P \cap Q), y \in (P \cup Q)\}$. Find the number of elements in the set $P * Q$.

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