Five people each take a bucket and wait in front of the tap to fetch water. The time it takes them to fetch water is 1 minute, 2 minutes, 3 minutes, 4 minutes, and 5 minutes. If there is only one tap, please design an arrangement so that each The sum of personal queuing and fetching time is the least, how many minutes is the least time.
5个人各拿一个水桶在自来水龙头前等候打水，他们打水所需的时间分别是1分钟、2分钟、3分钟、4分钟、5分钟，如果只有一个水龙头，请你设计安排，使每个人排队和打水时间的总和最少，最少的时间是多少分钟．
<gadget id="calculator">1 * 5</gadget>
<output>5</output>

<gadget id="calculator">2 * 4</gadget>
<output>8</output>

<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">5 + 8 + 9 + 8 + 5</gadget>
<output>35</output>

<result>35</result>