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;
char s[4004000];
int main() {
  scanf("%s", s);
  long long n = strlen(s);
  long long res = n * (n - 1) / 2;
  for (int i = 0; i < n; i++) {
    for (int j = i + 1; j < n; j++) {
      bool ok = 1;
      for (int k = i; k < j; k++) {
        if (s[j] == s[k]) {
          int in = 2 * k - j;
          if (in >= i && in <= j && s[in] == s[j]) {
            ok = 0;
            break;
          }
        }
      }
      if (!ok) break;
      res--;
    }
  }
  cout << res << endl;
  return 0;
}