2021 JMPSC Accuracy Problems/Problem 15
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Problem
For all positive integers 
define the function 
to output 
For example, 
, 
, and 
Find the last three digits of ![\[\frac{f(1)+f(2)+ \cdots + f(100)}{25}.\]](http://latex.artofproblemsolving.com/2/4/4/244944bb29f9d9d942d159a2b7178e3b06f5728a.png)
Solution
asdf
