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
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1 Comment
An interesting follow-up problem would be multi-digit values for K.
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