Evaluate Mathematical Expression

You are given a string representing a mathematical expression. The expression consists of non-negative integers and the operators +, -, *, and /, along with parentheses for grouping. Your task is to evaluate the expression and output the result as a floating point number.

The expression obeys the standard operator precedence rules:

• Addition and subtraction: \(a+b,\ a-b\)
• Multiplication and division: \(a\times b,\ a\div b\)
• Parentheses: \((\,a+b\, )\)

For example:

• Input: 3+2*2 → Output: 7.0 because \(3+2\times2=7.0\)
• Input: (1+(4+5+2)-3)+(6+8) → Output: 23.0

You must process input from standard input (stdin) and output your answer to standard output (stdout).

inputFormat

The input consists of one single line containing the mathematical expression as a string. The string will include digits (0-9) and the characters '+', '-', '*', '/', and parentheses.

Example:

3+2*2

outputFormat

Output a single floating point number which is the result of evaluating the given expression.

Example:

7.0

## sample

3+2

5.0

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