=(1/2+.+1/2007)*1+(1/2+.+1/2007)*(1/2+...+1/2006)-(1/2+...+1/2007)*(1/2+...+1/2006)-(1/2+..1/2006)*1=1/2007
(1/2+1/3+1/4+...+1/2007)*(1+1/2+1/3+1/4+...+1/2006)-(1+1/2+1
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