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Problems

Value of variable 4

Value of variable 4

Time limit 1 second
Memory limit 128 MiB

Find the value of the variable y for a given real value of the variable x.

y = {2x - 1 \over x^2} + {\sqrt{x^2 + 1} \over 2}

Input data

Value of the variable x.

Output data

Print the value of the variable y up to thousandths.

Examples

Input example #1
1
Output example #1
1.707
Author Matviychuk Sergiy
Source "ABC programming"