deletions | additions       diff --git a/Version3.tex b/Version3.tex  index da52fa7..e5171b4 100644  --- a/Version3.tex  +++ b/Version3.tex 
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f_2(n,i) =  \sum_{j=i}^{n-1} (c + f_1(j,i)) =\\  c\sum_{j=i}^{n-1} 1 + d\sum_{j=i}^{n-1} 1 + d\sum_{j=i}^{n-1} j - di\sum_{j=i}^{n-1} 1 =\\  (c + d)\sum_{j=i}^{n-1} 1 + d(\frac{n(n-1)}{2} - \frac{i(i-1)}{2}) - di(n-i)\\ di(n-i) =\\   (c + d)\sum_{j=i}^{n-1} 1 + \frac{d}{2}n(n-1) + \frac{d}{2}i^2 + \frac{d}{2}(1-2n)i  $$