
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
Given the sets:
$$
\begin{array}{l}
U=\{1,2, \cdots, 8\}, \\
A=\{1,2, \cdots, 5\}, \\
B=\{4,5, \cdots, 8\} .
\end{array}
$$

Find the number of subsets of $U$ that are not subsets of $A$ and also not subsets of $B$.

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