Remove Outermost Parentheses
Given a valid parentheses string, remove the outermost pair of each primitive group.
Input format
A single line containing a valid parentheses string made of '(' and ')'.
Output format
Print the string after removing the outermost parentheses of every primitive group. The result is guaranteed non-empty.
Constraints
- Values fit in a 64-bit signed integer
- Trailing whitespace and a trailing newline are ignored by the judge
Read from stdin, write to stdout. Sample cases below show the exact format.
Sample cases
Example 1
Input
(()())(())Expected output
()()()Example 2
Input
(()())(())(()(()))Expected output
()()()()(())