
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
In $n$ glasses of sufficiently large capacity, an equal amount of water is poured. It is allowed to pour as much water from any glass into any other as the latter contains. For which $n$ is it possible to eventually collect all the water into a single glass in a finite number of steps?

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