In a mathematics competition, (1/7) students won the first prize, (1/3) students won the second prize, (1/2) students won the third prize, and the rest of the students won the commemorative prize. It is known that the number of students participating in this competition is between 40 and 50, and each student has won a prize. How many people received the Memorial Award?
一次数学竞赛，有(1/7)的学生得一等奖，(1/3)的学生得二等奖，(1/2)的学生得三等奖，其余的学生得纪念奖．已知这次参赛的学生人数在40～50之间，且每个学生都获了奖．获纪念奖的有多少人？
<gadget id="calculator">42 + 1</gadget>
<output>43</output>

<gadget id="calculator">43 - 42</gadget>
<output>1</output>

<result>1</result>