Calculation: ((1-(1/2)+(1/3)-(1/4)+…+(1/199)-(1/200))/((1/(1+201))+ (1/(2+202))+…+(1/(99+299))+(1/(100+300)))).
计算：((1-(1/2)+(1/3)-(1/4)+…+(1/199)-(1/200))/((1/(1+201))+(1/(2+202))+…+(1/(99+299))+(1/(100+300))))．
<result>2</result>