最长的常规支架序列|断续器 (jxnu.edu.cn)https://acs.jxnu.edu.cn/problem/CF5C

描述：

This is yet another problem dealing with regular bracket sequences.

We should remind you that a bracket sequence is called regular, if by inserting «+» and «1» into it we can get a correct mathematical expression. For example, sequences «(())()», «()» and «(()(()))» are regular, while «)(», «(()» and «(()))(» are not.

You are given a string of «(» and «)» characters. You are to find its longest substring that is a regular bracket sequence. You are to find the number of such substrings as well.

这是处理常规括号序列的问题。

我们将提醒你这个序列叫做正则序列，如果在其中插入《+》和《1》我们将得到正确的数学表达式。例如，序列 «(())()», «()»和 «(()(()))»是正则, 然而 «)(», «(()» 和 «(()))(» 不是。

你将获得一串《（》和《）》字符。你将找到其最长子字符串，该子字符串是常规序列。你还需要找到其类似子字符串。

输入：

The first line of the input file contains a non-empty string, consisting of «(» and «)» characters. Its length does not exceed 106.

第一行输入一行非空字符串，包含《（》和《）》字符。他的长度不超过10^6。

输出：

Print the length of the longest substring that is a regular bracket sequence, and the number of such substrings. If there are no such substrings, write the only line containing "0 1".

输出正则括号序列的最长长度，以及这种序列的个数，如果没有，则输出“0 1”。

样例输入：

)((())))(()())

样例输出：

6 2

样例输入：

))(

样例输出：

0 1