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;
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout.tie(nullptr);
  string s;
  cin >> s;
  long long n = (long long)s.size();
  long long ans = n * (n + 1) / 2;
  for (long long i = 0; i < n; i++) {
    for (long long j = i; j < min(n, i + 10); j++) {
      bool fl = false;
      for (long long k = i; k <= j; k++) {
        if (fl) break;
        for (long long len = 1; len <= min(j - k, k - i); len++) {
          if (s[k - len] == s[k] && s[k] == s[k + len]) {
            fl = true;
            break;
          }
        }
      }
      if (!fl) ans--;
    }
  }
  cout << ans << "\n";
  return 0;
}