
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
There are 2013 cards, each with a unique number written on them, all face down. In one move, you can point to ten cards, and you will be told one of the numbers written on those ten cards (but not which card the number is on). What is the largest number \( t \) for which you can guarantee to determine the exact number written on each of those \( t \) cards?

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