
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
There are $4 \cdot 2117$ elves sitting around a round table, with 1 cup of milk in front of each elf. One elf evenly distributes their milk into the rest of the cups, then the first neighbor to their right does the same, and so on. After the 7th elf has distributed their milk, each cup still has the same amount of milk as initially, and the total milk in all cups is 3 liters. How much milk was initially in each cup?

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