#P4526. Integral Calculation

    ID: 17772 Type: Default 1000ms 256MiB

Integral Calculation

Integral Calculation

Given a real number a, compute the integral

$$\int_0^\infty x^{\frac{a}{x}-x}\,dx$$

Report the answer rounded to 5 decimal places. If the integral diverges, output orz.

inputFormat

The input consists of a single real number a. Note that when a < 0 the integral is considered divergent.

outputFormat

Output the computed value of the integral rounded to 5 decimal places. If the integral diverges, output orz.

sample

0
1.29129