
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 universal set $U=\{x|x\in\mathbb{N}^{*},x<6\}$, set $A=\{1,3\}$, and set $B=\{3,5\}$, calculate the complement of $A\cup B$ in $U$, denoted as $\complement_U(A\cup B)$.

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