
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

Kristina thought of a natural number. Her friends each asked one question:

Julia: Is it divisible by 17?

Nastya: Is it divisible by 19?

Vika: Is it less than 20?

Dasha: Is it divisible by 323?

Kristina answered "yes" to only two out of the four questions. What numbers could Kristina have thought of? Indicate all possible options in the answer.

Options:

○ 17

○ 19

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