
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 and an assistant perform a trick. There are 12 closed empty boxes in a row. The magician leaves, and an audience member, in the assistant's view, hides a coin in any two boxes of their choice. Then the magician returns. The assistant opens a box that does not contain a coin. After that, the magician points to 4 boxes, and they are opened simultaneously. The magician's goal is to open both boxes that contain the coins. Suggest a way for the magician and the assistant to agree on a strategy so that the trick always succeeds.

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