
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, each take a bucket to a communal tap to fill with water at the same time. The time it takes for them to fill their buckets is 1.5 minutes, 0.5 minutes, and 1 minute, respectively. If they can only fill their buckets one at a time, and the students who are not filling their buckets have to wait, and the student leaves immediately after filling their bucket, then calculate the minimum total time (including waiting time) spent by these three students.

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