
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
Ana has 48 coins that appear identical. However, exactly one of the coins is fake and has a different weight than the others. She has an electronic scale that measures the total weight of any quantity of coins. Show how she can determine the fake coin by performing seven weighings.

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