omitted  jmc 2007 \#24 
The pages of a book are numbered 1, 2, 3 $\cdots$ . In total, it takes 852 digits to number all the pages of the book. What is the number of the last page? 

(a) $$215$$ 
(b) $$314$$ 
(c) $$320$$ 
(d) $$329$$ 
(e) $$422$$ 