
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 each of the 2013 cards, there is a unique number written. The cards are turned face down. On each move, you may point to ten cards, and you will be told one of the numbers written on them (it's not known which one).

What is the largest $t$ for which it is guaranteed to determine the number written on each of those $t$ cards?

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