people each take a bucket to the faucet to collect water. The time required for the faucet to fill the buckets of 6 people is 5 minutes, 4 minutes, 3 minutes, 10 minutes, 7 minutes, and 6 minutes respectively. Now only this faucet is available, please arrange the sequence of fetching water for these 6 people so that their total waiting time is the shortest. How many minutes is this shortest time.
6个人各拿一只水桶到水龙头接水，水龙头注满6个人的水桶所需时间分别是5分钟、4分钟、3分钟、10分钟、7分钟、6分钟．现在只有这一个水龙头可用，请合理安排这6人的打水次序使他们总的等候时间最短．这个最短时间是多少分钟．
<gadget id="calculator">3 * 6</gadget>
<output>18</output>

<gadget id="calculator">4 * 5</gadget>
<output>20</output>

<gadget id="calculator">5 * 4</gadget>
<output>20</output>

<gadget id="calculator">6 * 3</gadget>
<output>18</output>

<gadget id="calculator">7 * 2</gadget>
<output>14</output>

<gadget id="calculator">18 + 20 + 20 + 18 + 14 + 10</gadget>
<output>100</output>

<result>100</result>