(1/1009-1)*(1/1010-1)*.*(1/2009-1)*(1/2010-1)
=(-1008/1009)*(-1009/1010)*……*(-2008/2009)*(-2009/2010)
=(-1)^1002*1008/2010
=1008/2010
(1/1009-1)*(1/1010-1)*.*(1/2009-1)*(1/2010-1)
=(-1008/1009)*(-1009/1010)*……*(-2008/2009)*(-2009/2010)
=(-1)^1002*1008/2010
=1008/2010