
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 universal set be $U=\{0,1,2,4,6,8\}$, set $M=\{0,4,6\}$, and $N=\{0,1,6\}$. Find the set $M\cup \complement _{U}N$.

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