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 P1168B {

	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
		String s = in.next();
		
		int r, n;
		r = n = s.length();
		long ans=0;
		for(int x=n-1; x>=0; x--) {
			for(int k=1; x+2*k<r; k++) {
				if (s.charAt(x)==s.charAt(x+k) && s.charAt(x)==s.charAt(x+2*k)) {
					r = x+2*k;
					break;
				}
			}
			ans+=n-r;
		}
		System.out.println(ans);

	}

}