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Rooted to the Floor II (Posted on 2014-09-08) Difficulty: 3 of 5
Define F(x) = floor(4√x).

Find the value of :

1/F(1) + 1/F(2) +....+ 1/F(2014)

No Solution Yet Submitted by K Sengupta    
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Solution computer solution | Comment 1 of 3
    5   point 20
   10   for X=1 to 2014
   20     Rt=sqrt(sqrt(X))
   30     Rtround=int(Rt+0.5)
   40     if abs(Rtround-Rt)<0.00000000000001 then Rt=Rtround
   50     Tot=Tot+1//int(Rt)
   60   next
   70   print Tot

finds

27127 / 60

which can be given as 452 + 7/60.

  Posted by Charlie on 2014-09-08 17:28:37
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