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.

//qscqesze
#include <cstdio>
#include <cmath>
#include <cstring>
#include <ctime>
#include <iostream>
#include <algorithm>
#include <set>
#include <vector>
#include <sstream>
#include <queue>
#include <typeinfo>
#include <fstream>
#include <map>
#include <stack>
typedef long long ll;
using namespace std;
//freopen("D.in","r",stdin);
//freopen("D.out","w",stdout);
#define sspeed ios_base::sync_with_stdio(0);cin.tie(0)
#define maxn 2000001
#define mod 10007
#define eps 1e-9
int Num;
char CH[20];
//const int inf=0x7fffffff;   //нчоч╢С
const int inf=0x3f3f3f3f;
/*inline void P(int x)
{Num=0;if(!x){putchar('0');puts("");return;}while(x>0)CH[++Num]=x%10,x/=10;while(Num)putchar(CH[Num--]+48);puts("");
}
*/
inline ll read()
{int x=0,f=1;char ch=getchar();while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}return x*f;
}
inline void P(int x)
{Num=0;if(!x){putchar('0');puts("");return;}while(x>0)CH[++Num]=x%10,x/=10;while(Num)putchar(CH[Num--]+48);puts("");
}
//**************************************************************************************string s;
stack<int> k;
int dp[maxn];
int main()
{cin>>s;for(int i=0;i<s.size();i++){if(s[i]=='(')k.push(i);else{if(!k.empty()){dp[i]=i-k.top()+1;if(k.top()>0)dp[i]+=dp[k.top()-1];k.pop();}}}int ans1=0,ans2=1;for(int i=0;i<s.size();i++){if(dp[i]>ans1){ans1=dp[i];ans2=1;}else if(dp[i]==ans1)ans2++;}if(ans1==0)printf("0 1\n");elsecout<<ans1<<" "<<ans2<<endl;
}