
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
Seven dwarfs are sitting around a round table. Each one has a mug in front of them. Some of these mugs contain milk. One of the dwarfs pours all his milk equally into the mugs of the others. Then his right neighbor does the same. After that, the next right neighbor does the same, and so on. After the last, seventh dwarf has poured his milk into the mugs of the others, each mug has the same amount of milk as it initially had. There are a total of 3 liters of milk in all mugs combined. How much milk was initially in each mug?

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