Problem 8071. summation of the reciprocals
Determine the summation of the reciprocals of numbers with length equal to N,in the meanwhile there is a digit K excluded from the numbers.
reference:( http://en.wikipedia.org/wiki/Kempner_series )
For example:
if N = 2 and K = 7
the matrix are as following:
10 20 30 40 50 60 80 90 11 21 31 41 51 61 81 91 12 22 32 42 52 62 82 92 13 23 33 43 53 63 83 93 14 24 34 44 54 64 84 94 15 25 35 45 55 65 85 95 16 26 36 46 56 66 86 96 18 28 38 48 58 68 88 98 19 29 39 49 59 69 89 99
ouput then can be the summation of the reciprocals of above matrix
output = 2.01554407485017
So, give the input N and K, determine the output as mentioned above
Solution Stats
Problem Comments
-
1 Comment
Paul Berglund
on 19 Apr 2015
An interesting follow-up problem would be multi-digit values for K.
Solution Comments
Show commentsProblem Recent Solvers13
Suggested Problems
-
3188 Solvers
-
1661 Solvers
-
Calculate the Levenshtein distance between two strings
1364 Solvers
-
227 Solvers
-
Big numbers, repeated least significant digits
66 Solvers
More from this Author1
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!