Problem: The bear has a string s = s1s2... s|s| (record |s| is the string's length), consisting of lowercase English letters. The bear wants to count the number of such pairs of indices i, j (1 ≤ i ≤ j ≤ |s|), that string x(i, j) = sisi + 1... sj contains at least one string "bear" as a substring.

String x(i, j) contains string "bear", if there is such index k (i ≤ k ≤ j - 3), that sk = b, sk + 1 = e, sk + 2 = a, sk + 3 = r.

Help the bear cope with the given problem.

Input

The first line contains a non-empty string s (1 ≤ |s| ≤ 5000). It is guaranteed that the string only consists of lowercase English letters.

Output

Print a single number — the answer to the problem.

Examples

Input

bearbtear


Output

6


Input

bearaabearc


Output

20

Note

In the first sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9).

In the second sample, the following pairs (i, j) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 10), (2, 11), (3, 10), (3, 11), (4, 10), (4, 11), (5, 10), (5, 11), (6, 10), (6, 11), (7, 10), (7, 11).

Solution (in JAVA):

Solution:
import java.util.Scanner;


public class Main {

    public static void main(String[] args) {
        // TODO Auto-generated method stub
        String str;
        Scanner sc= new Scanner (System.in);
        str = sc.next();
        int l = str.length();
        int num=0;
        int count = 0 ;
        boolean cont= true;
        str=str.replaceFirst("bear", "-");
        int y = str.lastIndexOf("-")+4+count*3;
        count++;
        for(int i=1 ; i<= l && cont  ; i++){
                if(y-i<3){
                    if(str.contains("bear")){
                    str=str.replaceFirst("bear", "-");
                    y = str.lastIndexOf("-")+4+count*3;
                    count++;
                    }else
                        cont=false;
                }
                if(cont){
            num += l+1-y;
            
                }
        }
        System.out.println(num);
        
    }

}