
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 $U=\{x|x\leq 10, x\in \mathbb{N}\}$, $A\subseteq U$, $B\subseteq U$, and $A\cap B=\{4,5,6\}$, $(C_{U}B)\cap A=\{2,3\}$, $(C_{U}A)\cap (C_{U}B)=\{7,8\}$. Find the sets $A$ and $B$.

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