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;
int main() {
  string s;
  getline(cin, s);
  long long n = s.length();
  s = "0" + s;
  long long c = 0;
  for (int l = 1; l <= n; l++) {
    long long limit = l + 8;
    int minr = 1e9;
    for (int j = l; j <= std::min(limit, n); j++) {
      for (int k = 1; k <= 4; k++) {
        if (j + 2 * k <= n && s[j] == s[j + k] && s[j] == s[j + 2 * k]) {
          minr = min(minr, j + 2 * k);
        }
      }
    }
    if ((minr == 1e9) == false) c += n - minr + 1;
  }
  cout << c;
}