
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
A store received 20 kg of cheese, and a queue formed for it. After selling cheese to the next customer in line, the shopkeeper accurately calculates the average weight of the purchases made so far and tells how many more people can be served with the remaining cheese if everyone continues to buy cheese at this average weight. Could the shopkeeper after serving each of the first 10 customers state that there is exactly enough cheese left for 10 more customers? If so, how much cheese is left in the store after the first 10 customers?

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