Problem:
Score : 400 points

Problem Statement

Given is a string S consisting of digits from 1 through 9.

Find the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the following condition:

Condition: In base ten, the i-th through j-th characters of S form an integer that is a multiple of 2019.

Constraints

1 ≤ |S| ≤ 200000

S is a string consisting of digits from 1 through 9.

Input

Input is given from Standard Input in the following format:

S

Output

Print the number of pairs of integers (i,j) (1 ≤ i ≤ j ≤ |S|) that satisfy the condition.

Sample Input 1

1817181712114

Sample Output 1

3

Three pairs - (1,5), (5,9), and (9,13) - satisfy the condition.

Sample Input 2

14282668646

Sample Output 2

2

Sample Input 3

2119

Sample Output 3

0

No pairs satisfy the condition.

Solution in Java (OpenJDK 11.0.6) (judge verdict: Runtime Error)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Scanner;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Scanner in = new Scanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        MultipleOf2019 solver = new MultipleOf2019();
        solver.solve(1, in, out);
        out.close();
    }

    static class MultipleOf2019 {
        public void solve(int testNumber, Scanner in, PrintWriter out) {
            String s = in.next();
            int limit = s.length();

            long result = 0;
            for (int i = 0; i <= limit - 4; i++) {
                for (int j = i + 4; j <= limit; j++) {
                    String str = s.substring(i, j);
                    if (Long.parseLong(str) % 2019L == 0L) {
                        result++;
                    }
                }
            }
            out.append(String.valueOf(result));
        }

    }
}