
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 the set $U = \{(x, y) | x \in \mathbb{R}, y \in \mathbb{R}\}$, $A = U \setminus \{(x, y) | x + y > m\}$, and $B = \{(x, y) | x^2 + y^2 \leq n\}$. Then, the necessary and sufficient condition for the point $(1, 2)$ to belong to $(C_U A) \cap B$ is.

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