Let 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:
Note that '2/4' and '3/9' are not included because they are not in their lowest term, while '7/7' and '8/5' are not included because they are not proper fractions.
Write a function 'S(d)', which is the integer part of the sum of 'F(d)'. For the case above, the sum of elements of 'F(10)' is exactly '15.5'. Therefore S(10) = 15.
Solution Stats
Problem Comments
2 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers11
Suggested Problems
-
Get the elements of diagonal and antidiagonal for any m-by-n matrix
524 Solvers
-
449 Solvers
-
Is this triangle right-angled?
6682 Solvers
-
Find out the Gray Code for a Given Binary Number
121 Solvers
-
Create block matrix of integers (j+k-1) - Part I
125 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Could not figure out how to speed up my code. Ended up having to use a lookup table to speed it up sufficiently.
Hi,
There is a shortcut using Mobius Inversion...