G. Mathematician Takeovertime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputA mathematician grabbed my computer as I was preparing this problem, deleted the statement, and changed the samples to fit his liking. The model solution and input/output format are still correct, but the samples are wrong. I've partially fixed the problem so that when you submit, it will be tested against the correct version of the problem. However, I can't fix the samples below. As a computer scientist, can you solve the correct problem?InputThe only line of input contains a real number x (1 \leq x \leq 100), given to exactly three decimal places.OutputOutput one real number — the answer. Your answer is considered correct if its absolute or relative error does not exceed 10^{-4}. Formally, let your answer be a, and the jury's answer be b. Your answer is accepted if and only if \frac{|a-b|}{\max(1,|b|)} \le 10^{-4}.ExamplesInput
1.234
Output
0.21026Input
4.113
Output
1.41415Input
99.000
Output
4.59512
1.234

0.21026
['binary search', 'dfs and similar', 'math']