=2010²-2009²+2008²-2007²+……+2²-1²
=(2010+2009)*(2010-2009)+(2008+2007)*(2008-2007)+……+(2+1)*(2-1)
=(2010+2009)*1+(2008+2007)*1+……+(2+1)*1
=2010+2009+2008+2007+……+2+1
=(2010+1)+(2009+2)+……+(1006+1005)
=2011*1005
=2021055