Someone attended an international conference, and there were 48 people including this representative. The representative said: I didn't shake hands with every representative in the meeting (I didn't have to shake hands with myself). What is the maximum number of delegates who shook hands with every delegate attending the meeting?
某人参加一个国际会议，连同这位代表在内与会的人士共有48位．这位代表说：我并没有与会议中的每一位代表都握手(自己不必与自己握手)．请问最多有多少位代表与参加会议的每一位代表都握过手？
<gadget id="calculator">48 - 1 - 1</gadget>
<output>46</output>

<result>46</result>