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[300005];
int main() {
  scanf("%s", s + 1);
  int n = strlen(s + 1), l = (1 << 30);
  long long ans = 0;
  for (int i = (int)(1); i <= (int)(n); i++) {
    ++l;
    for (int j = (int)(1); j <= (int)(min(min(i, l), 100) / 2); j++)
      if (s[i] == s[i - j] && s[i - j] == s[i - j - j]) l = 2 * j;
    if (l < (1 << 30)) ans += i - l;
  }
  printf("%lld\n", ans);
}