
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 three bottles of medicine labeled $A$, $B$, and $C$. Bottle $A$ contains 1997 pills, while bottles $B$ and $C$ are empty. When full, bottles $B$ and $C$ can hold 97 and 19 pills, respectively. Each pill contains 100 units of active ingredient. Each time a bottle is opened, the pills in that bottle each lose 1 unit of active ingredient. A person opens a bottle once daily, consumes one pill, and can use this opportunity to transfer pills to other bottles to minimize future losses, before closing the bottle. What is the minimum total loss of active ingredient when all the pills are consumed?

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