Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
B. Good Triple

time limit per test

4 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputToad 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 $$$1 \leq l \leq r \leq n$$$ and there is at least one pair of integers $$$x$$$, $$$k$$$ such that $$$1 \leq x, k \leq n$$$, $$$l \leq x < x + 2k \leq r$$$, and $$$s_x = s_{x+k} = s_{x+2k}$$$.

Find this number of pairs for Rash.

Input

The first line contains the string $$$s$$$ ($$$1 \leq |s| \leq 300\,000$$$), consisting of zeros and ones.

Output

Output one integer: the number of such pairs of integers $$$l$$$, $$$r$$$ that $$$1 \leq l \leq r \leq n$$$ and there is at least one pair of integers $$$x$$$, $$$k$$$ such that $$$1 \leq x, k \leq n$$$, $$$l \leq x < x + 2k \leq r$$$, 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 $$$0$$$.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/25/2021 05:11:49 (g1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|