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 Solvers10
Suggested Problems
-
2466 Solvers
-
Set the array elements whose value is 13 to 0
1438 Solvers
-
Give me Hamming on five, hold the mayo
55 Solvers
-
110 Solvers
-
Regular polygon bounded by and bounding a circle
43 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...