传送门
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#define INF 0x3f3f3f3f
using namespace std;
typedef long long LL;
const int maxn = 1e6 + 10;
char str[maxn];
int st[maxn];
int dp[maxn];
int main() {
scanf("%s", str);
int len = strlen(str);
int ans = 0, cnt = 0, pos = 0;
for (int i = 0; i < len; i++) {
if (str[i] == '(') {
st[pos++] = i;
} else {
if (pos) {
int t = st[--pos];
dp[i] = dp[t - 1] + i - t + 1;
if (dp[i] > ans) {
ans = dp[i];
cnt = 1;
} else if (dp[i] == ans) {
cnt++;
}
}
}
}
if (!ans) cnt = 1;
printf("%d %d
", ans, cnt);
return 0;
}