
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 sets $P=\{x, 1\}$, $Q=\{y, 1, 2\}$, where $x, y \in \{1, 2, 3, \ldots, 9\}$, and $P \subseteq Q$. Determine the number of points defined by the coordinates $(x, y)$ that satisfy the given conditions.

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