Value of variable 4#8828
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Value of variable 4

1 second
128 megabytes
Very easy

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

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

Input

Value of the variable .

Output

Print the value of the variable up to thousandths.

Examples

Example 1

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