Minimum Parenthesis Removals

You are given a string consisting of parentheses. Your task is to find the minimum number of parentheses that need to be removed to make the string valid. Please implement a function that reads a string from standard input and outputs the minimum number of removals needed to balance the parentheses. Input Format: - A single line string containing '(', ')' (1 <= length <= 10^6). Output Format: - Print an integer which is the minimum number of parentheses to remove to make the string valid. Example: Input: ())( Output: 2