A, B, and C take 2, 3, and 1 thermos bottles respectively, and reach the boiling water supply point to fetch hot water at the same time. There is only one hot water faucet. Minimum time (including waiting time)? (It takes 1 minute to fill a bottle) How much is it?
甲、乙、丙三人分别拿2个、3个、1个热水瓶，同时到达开水供应点打热水，热水龙头只有一个，怎样安排他们打水的次序，可以使他们打热水所花的时间(包括等候时间)最少？(打满1瓶需要1分钟)是多少分？
<gadget id="calculator">1 * 1 * 3</gadget>
<output>3</output>

<gadget id="calculator">1 * 2 * 2</gadget>
<output>4</output>

<gadget id="calculator">3 * 1</gadget>
<output>3</output>

<gadget id="calculator">3 + 4 + 3</gadget>
<output>10</output>

<result>10</result>