```go
package main

import (
	"bufio"
	"fmt"
	"os"
	"strings"
)

func main() {
	reader := bufio.NewReaderSize(os.Stdin, 2*1024*1024)
	line, _ := reader.ReadString('\n')
	s := strings.TrimSpace(line)
	n := len(s)

	if n == 0 {
		fmt.Println("0 1")
		return
	}

	dp := make([]int, n)
	maxLen := 0
	count := 1

	for i := 1; i < n; i++ {
		if s[i] == ')' {
			pre := i - 1 - dp[i-1]
			if pre >= 0 && s[pre] == '(' {
				dp[i] = dp[i-1] + 2
				if pre-1 >= 0 {
					dp[i] += dp[pre-1]
				}

				if dp[i] > maxLen {
					maxLen = dp[i]
					count = 1
				} else if dp[i] == maxLen {
					count++
				}
			}
		}
	}

	fmt.Println(maxLen, count)
}
```