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.lang.*;
    import java.math.*;
    import java.util.*;
    import java.io.*;
    public class Main {
        void solve(){
            char s[]=ns().toCharArray();
            long ans=0;
            int n=s.length;
            int mnR[]=new int[n+1];
            for(int i=1;i<=n;i++){
                mnR[i]=-1;
                for(int k=1;i+2*k<=n;k++){
                    if(s[i-1]==s[i+k-1] && s[i+k-1]==s[i+2*k-1]){
                        mnR[i]=i+2*k;
                        break;
                    }
                }

            }
            int r=Integer.MAX_VALUE;
            for(int l=n;l>=1;l--){
                if(mnR[l]!=-1) r=Math.min(r,mnR[l]);
                if(r!=Integer.MAX_VALUE) ans+=n-r+1;
            }
            pw.println(ans);
    }


        long M =(long)1e9+7;


        InputStream is;
        PrintWriter pw;
        String INPUT = "";

        void run() throws Exception {
            is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
            pw = new PrintWriter(System.out);
            long s = System.currentTimeMillis();
            solve();
            pw.flush();
            if (!INPUT.isEmpty()) tr(System.currentTimeMillis() - s + "ms");


        }

        public static void main(String[] args) throws Exception {
            new Main().run();
        }

        private byte[] inbuf = new byte[1024];
        public int lenbuf = 0, ptrbuf = 0;

        private int readByte() {
            if (lenbuf == -1) throw new InputMismatchException();
            if (ptrbuf >= lenbuf) {
                ptrbuf = 0;
                try {
                    lenbuf = is.read(inbuf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (lenbuf <= 0) return -1;
            }
            return inbuf[ptrbuf++];
        }

        private boolean isSpaceChar(int c) {
            return !(c >= 33 && c <= 126);
        }

        private int skip() {
            int b;
            while ((b = readByte()) != -1 && isSpaceChar(b)) ;
            return b;
        }

        private double nd() {
            return Double.parseDouble(ns());
        }

        private char nc() {
            return (char) skip();
        }

        private String ns() {
            int b = skip();
            StringBuilder sb = new StringBuilder();
            while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != ' ')
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }

        private char[] ns(int n) {
            char[] buf = new char[n];
            int b = skip(), p = 0;
            while (p < n && !(isSpaceChar(b))) {
                buf[p++] = (char) b;
                b = readByte();
            }
            return n == p ? buf : Arrays.copyOf(buf, p);
        }

        private char[][] nm(int n, int m) {
            char[][] map = new char[n][];
            for (int i = 0; i < n; i++) map[i] = ns(m);
            return map;
        }

        private int[] na(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = ni();
            return a;
        }

        private int ni() {
            int num = 0, b;
            boolean minus = false;
            while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
            if (b == '-') {
                minus = true;
                b = readByte();
            }

            while (true) {
                if (b >= '0' && b <= '9') {
                    num = num * 10 + (b - '0');
                } else {
                    return minus ? -num : num;
                }
                b = readByte();
            }
        }

        private long nl() {
            long num = 0;
            int b;
            boolean minus = false;
            while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
            if (b == '-') {
                minus = true;
                b = readByte();
            }

            while (true) {
                if (b >= '0' && b <= '9') {
                    num = num * 10 + (b - '0');
                } else {
                    return minus ? -num : num;
                }
                b = readByte();
            }
        }

        private boolean oj = System.getProperty("ONLINE_JUDGE") != null;

        private void tr(Object... o) {
            if (INPUT.length() > 0) System.out.println(Arrays.deepToString(o));
        }

    }