There is a tour group of 100 people, including 51 men and 49 women. They live in a hotel. There are three types of rooms in the hotel that can accommodate 11 people, 8 people, and 3 people. Men and women are required to live in different rooms. All three types of rooms must be occupied, and each room must be fully occupied. , at least how many houses are needed.
有一个100个人的参观团，其中男51人，女49人．他们住进一个旅馆内，旅馆内有可住11人，8人，3人的三种房间，要求男、女分住不同的房间，三种房间都要住人，且每个房间都必须住满，至少需要多少间房子．
<gadget id="calculator">6 + 12</gadget>
<output>18</output>

<result>18</result>