There is a tourist group of 69 people, including 31 male travelers and 38 female travelers, who live in a certain hotel. There are three types of rooms in the hotel that can accommodate 9 people, 5 people, and 3 people. After the arrangement of the waiter, the men and women of this tourist group live in different rooms, and each room is filled with the original number of tourists. For the number of people, how many rooms did the waiter use at least?
有一个69人的旅游团，其中男旅客31人，女旅客38人，住到某个旅馆里．旅馆里有可住9人、5人、3人的三种房间，经过服务员的安排，这个旅游团的男女分住在不同的房间里，而且每个房间都按原定人数注满了旅游团的人，服务员最少动用了多少个房间？
<gadget id="calculator">2 + 2 + 1 + 3 + 1 + 2</gadget>
<output>11</output>

<result>11</result>