
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
On the reverse sides of 2005 cards, different numbers are written (one number on each card). In one query, you are allowed to point to any three cards and learn the set of numbers written on them. What is the minimum number of queries needed to determine the numbers written on each card?

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