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;
const long long MOD = 1000000007ll;
string s;
long long n;
bool check(long long l, long long r) {
  for (long long i = l; i <= r; i++) {
    for (long long k = 1; i + 2 * k <= r; k++) {
      if (s[i] == s[i + k] and s[i] == s[i + 2 * k]) return 0;
    }
  }
  return 1;
}
long long ans;
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  cin >> s;
  n = s.size();
  s = "$" + s;
  for (long long i = 1; i <= n; i++) {
    for (long long j = i + 1; j - i < 8 and j <= n; j++)
      if (check(i, j)) {
        ans--;
      }
  }
  ans += (n * n - n) / 2;
  cout << ans;
  return 0;
}