
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
10 individuals each take a bucket to fetch water. Let the time needed to fill the $i$-th person's bucket be $t_i$, and assume each $t_i$ is different. How should the order of the 10 individuals be arranged when there is only one faucet so that the total waiting time for all 10 individuals is minimized?

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