#969. Maximum bracket depth
You get a correctly closed string of `()` brackets. Find the greatest nesting depth.
### Input
One line.
### Output
A number.
Examples
Input
()()()
Output
1
Input
()(())
Output
2
💡 You can solve it with Python, JavaScript or blocks. Read the input line by line with input(). Don't print a question (like input("Number: ")). Print exactly what the output asks for, nothing more.