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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
string s;
long long a, b, c, p, wyn, pop;
int main() {
  cin >> s;
  int dlug = s.size();
  for (int i = 0; i < dlug; i++) {
    int x = dlug;
    for (int j = i; j < i + 9; j++) {
      if (j >= dlug) {
        break;
      }
      for (int k = 1; k < 6; k++) {
        if (j + k >= dlug || j + 2 * k >= dlug) {
          break;
        }
        a = (int)s[j];
        b = (int)s[j + k];
        c = (int)s[j + 2 * k];
        if (a == b && b == c) {
          x = min(x, j + 2 * k);
          break;
        }
      }
    }
    wyn += dlug - x;
  }
  cout << wyn;
  return 0;
}