Evaluate Arithmetic Expression

You are given a mathematical expression E that consists of positive and negative integers, the operators \(+\), \(-\), \(*\), and \(/\), and parentheses which may be nested.

Your task is to evaluate the expression according to the standard operator precedence.

Note:

• If a division by zero occurs during the evaluation, output Error: Division by zero.
• The expression might contain extra whitespace which should be ignored.

Examples:

• Input: 3 + 5 → Output: 8.0
• Input: 10 + 2 * 6 → Output: 22.0
• Input: (5 + 3) * 12 / 3 → Output: 32.0
• Input: 100 / (3 - 3) → Output: Error: Division by zero

inputFormat

The input is provided via standard input (stdin) as a single line containing the expression E. The expression may include spaces.

outputFormat

Output the result of the evaluation to standard output (stdout). If the result is finite, output it as a floating-point number with one decimal place. If a division by zero is encountered, print exactly Error: Division by zero.

3 + 5

8.0