
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

The store received 20 kg of cheese, and a queue formed for it. Each time the seller serves the next customer, she accurately calculates the average weight of cheese sold and informs how many people can still be served if everyone buys exactly this average weight. Could the seller, after each of the first 10 customers, inform that there will be exactly enough cheese for 10 more customers? If yes, how much cheese remains in the store after the first 10 customers?

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