
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 \( U = \{ x \mid x \) is a prime number not greater than 20 \}, \( A \cap C_{U} B = \{3,5\} \), \( B \cap C_{U} A = \{7,19\} \), \(\left(\complement_{U} A\right) \cap \left(\complement_{U} B\right) = \{2,17\} \). Find the sets \( A \) and \( B \).

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