Approximate Number of Primes
By M.C. Pinto, UNILA 
Brazil
By M.C. Pinto, UNILA Brazil
Schoenfeld and Rosser published a paper in 1962 describing a minimum and a maximum value to the quantity of prime numbers up to n, for n ≥ 17. This quantity is represented by the function (n) and the inequality is shown below.
Your task is, given a natural number n, to compute the interval's minimum and maximum values to the approximate number of primes up to n.
The input is a natural number n (17 ≤ n ≤ 109).
The output is given as two values P and M with 1 decimal place each, such that P < (n) < M according to the given inequality above. These two values have one blank space between them.
| Input Samples | Output Samples |
|
17 |
6.0 7.5 |
|
50 |
12.8 16.0 |
|
100 |
21.7 27.3 |