Answer to Question #84836 in Combinatorics | Number Theory for Sayem

Question #84836

f(y)=y repeated y times,for example f(3)=333,f(5)=55555.
then a=f(2001)+f(2002)+f(2003)+(2004)+(2005)+.......(2012)+(2013)+(2014)+(2015).
what is the remainder upon division of a by 3 ?

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