
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
Three students, A, B, and C, went to Teacher Wang's office to correct their homework. It takes 3 minutes for the teacher to explain to each student, and then they correct it by themselves. Thus, A takes 3 minutes to listen to the explanation and 13 minutes to correct, totaling 16 minutes. B takes a total of 13 minutes, and C takes a total of 19 minutes. How should the explanation and correction be arranged so that Teacher Wang spends the least amount of time, and what is the minimum time?

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