
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
A magician with a blindfold gives an audience member 29 cards numbered from 1 to 29. The audience member hides two cards and gives the remaining ones to the magician's assistant. The assistant then shows the audience member two of these remaining cards, and the audience member tells the magician the numbers on these two cards (in any order they choose). Afterward, the magician deduces the numbers on the two hidden cards. How can the magician and the assistant agree on a strategy to ensure the trick always works?

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