In a mathematics competition, (1/7) of the participating students won the first prize, (1/3) won the second prize, and (1/2) won the third prize. It is known that there are more than 50 students participating in this competition, and fewer than 100 students. How many people did not win the prize?
一次数学竞赛，结果参赛学生中有(1/7)获得一等奖，(1/3)获得二等奖，(1/2)获得三等奖．已知参加这次竞赛的同学比50人多，比100人少，没有获奖的有多少人？
<gadget id="calculator">2 * 3 * 7</gadget>
<output>42</output>

<gadget id="calculator">42 * 2</gadget>
<output>84</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 - (1/7) - (1/3) - (1/2)</gadget>
<output>1/42 = around 0.02381</output>

<gadget id="calculator">84 * (1/42)</gadget>
<output>2</output>

<result>2</result>