
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
2013 different real numbers are written on 2013 cards, which are placed face down on a table. Two players, A and B, play the following game: In each round, A can designate any ten cards, and B will tell A one of the ten numbers written on those cards (without specifying which card it is written on). Determine the maximum positive integer \( t \) such that after a finite number of rounds, A can definitely identify the numbers on \( t \) cards.

(Note: 39th Russian Mathematical Olympiad, 11th grade)

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