Problem: Toad Rash has a binary string s. A binary string consists only of zeros and ones.

Let n be the length of s.

Rash needs to find the number of such pairs of integers l, r that 1 ≤ l ≤ r ≤ n and there is at least one pair of integers x, k such that 1 ≤ x, k ≤ n, l ≤ x < x + 2k ≤ r, and s_x = s_{x+k} = s_{x+2k}.

Find this number of pairs for Rash.

Input

The first line contains the string s (1 ≤ |s| ≤ 300 000), consisting of zeros and ones.

Output

Output one integer: the number of such pairs of integers l, r that 1 ≤ l ≤ r ≤ n and there is at least one pair of integers x, k such that 1 ≤ x, k ≤ n, l ≤ x < x + 2k ≤ r, and s_x = s_{x+k} = s_{x+2k}.

Examples

Input


010101


Output


3


Input


11001100


Output


0

Note

In the first example, there are three l, r pairs we need to count: 1, 6; 2, 6; and 1, 5.

In the second example, there are no values x, k for the initial string, so the answer is 0.

Solution (in JAVA):

Solution:

import java.util.Scanner;

public class Main{
    public static  void main(String[] args){
        Scanner cin=new Scanner(System.in);
        String str=cin.next();
        char[]st=str.toCharArray();
        int n=st.length,r=n;
        long sum=0;
        for(int i=n-1;i>=0;i--){
            for(int j=1;(i+j*2)<r;j++){
                if(st[i]==st[i+j]&&st[i+j]==st[i+2*j])
                    r=(i+2*j);
            }
            sum+=n-r;
        }
        System.out.println(sum);
    }
}