
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\in\mathbb{Z}|0 < x\leqslant 10\}\\), \\(A=\{1,2,4,5,9\}\\), \\(B=\{4,6,7,8,10\}\\). Find \\(A\cap B\\), \\(A\cup B\\), \\(\complement_{U}(A\cup B)\\), and \\((\complement_{U}A)\cap(\complement_{U}B)\\).

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