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 JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.*;
import java.io.BufferedReader;
import java.io.InputStreamReader;

public class CodingLegacy {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Palindrome solver = new Palindrome();
        int t = 1;

        for(int i=0;i<t;i++) {
            solver.solve(i+1, in, out);
        }
        out.close();
    }

    static class Palindrome {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            String s = in.next();

            int n = s.length(),r=0;
            long ans = 0;

            for(int i = 0;i<n;i++){
                while(!check(s,i,r)){
                    r++;
                    if(r==n){
                        break;
                    }
                }
                if(r==n){
                    break;
                }
                ans += n-r;
            }
            out.println(ans);
        }

        private boolean check(String s, int i, int r) {
            for(int x = i;x<=r;x++) {
                for (int k = 1;x + 2*k <= r;k++){
                    if(s.charAt(x)==s.charAt(x+k) && s.charAt(x)==s.charAt(x+2*k)){
                        return true;
                    }
                }
            }
            return false;
        }
    }

    static class Maths{
        public static long gcd(long a, long b) {
            if (a == 0)
                return b;
            return gcd(b % a, a);
        }

        public static long factorial(int n){
            long fact = 1;
            for(int i=1;i<=n;i++){
                fact *= i;
            }
            return fact;
        }
    }

    static class Characters{
        public static boolean isVovel(char a){
            if(a == 'a' || a == 'e' || a == 'i' || a == 'o' || a == 'u'){
                return true;
            }
            return false;
        }
    }

    static class Binary {
        public static long numberOfBits(long n){
            long count=0;
            while(n>0){
                count++;
                n >>=1;
            }
            return count;
        }
    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt(){
            return Integer.parseInt(next());
        }

        public Long nextLong(){
            return Long.parseLong(next());
        }
    }
}