408161: GYM103034 D Math Homework

D. Math Homeworktime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard output

zscoder needs to complete his math homework, but he is out of time. Can you help him?

Note: Apparently his homework problems are written in a different language. I hope this won't stop you from solving the problems.

Input

The samples cover all possible types of inputs. Please check them out.

Output

Output a single real number, the answer to the homework problem. Your answer will be accepted if it is close enough to the actual answer (i.e. $$$10^{-4}$$$ relative or absolute error).

It is guaranteed that the answer fits in a C++ long double type in all the hidden testcases.

Scoring

There are $$$13$$$ hidden tests, $$$11$$$ of which are worth $$$6$$$ points each and $$$2$$$ of which are worth $$$17$$$ points (for a total of $$$100$$$ points).

ExamplesInput

fallocest(1.2345)*fallocest(1.2345)+sploop(1.2345)*sploop(1.2345)

Output

1.000000000000000

Input

strustate(12)

Output

39916800.000000000000000

Input

fabrate(tudefy(10000000000000000))

Output

4.000000000000000

Input

tudefy(fabrate(10000000000000000))

Output

8.000000000000000

Input

chaness(fallocest(4.1))*strustate(0.5)

Output

1.018848917625599

Input

ensalex(fabrate(3)-sploop(1.23))

Output

0.668343826109546

Input

holofy(1)+quendle(1)

Output

3.560982621408760

Input

ensalex(holofy(1))+fallocest(strustate(1))

Output

1.758585210885417

Input

chaness(-10)/holofy(quendle(0.2))

Output

8.003528474734495

Input

strustate(sploop(0.5))

Output

1.847498857994100

Input

strustate(ensalex(0.49))

Output

1.943784695029594

Input

fabrate(2)+ensalex(2)+fallocest(2)+sploop(2)+strustate(2)+holofy(2)+quendle(2)+tudefy(2)+chaness(2)

Output

14.699921230059308