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: Time Limit Exceeded)

import java.util.*;
import java.math.*;

public class Main {
    static final int MOD = 1_000_000_007; // 10^9+7
    // static final int MAX = 2_147_483_646; // intの最大値
    static final int INF = 1_000_000_000; // 10^9
    static final int MAX = 10_000_000;
    static long[] fact = new long[100];
        public static void main(String args[]) {
        Scanner sc = new Scanner(System.in);
        String s = sc.next();
        char[] str = s.toCharArray();
        int[] ary = new int[s.length()];
        Arrays.fill(ary,INF);
        for(int i = 0;i < s.length();i++){
            int n = str[i]-'0';
            for(int j = i+1;j <= s.length();j++){
                n%=2019;
                if(n==0){
                    ary[i] = j-1;
                    break; 
                }
                if(j==s.length())break;
                n*=10;
                n+=str[j]-'0';
            }
        }
        long count = 0;
        for(int i = 0;i < s.length();i++){
            for(int j = i;j < s.length();){
                if(ary[j]==INF)break;
                count++;
                j = ary[j]+1;
            }
        }
        System.out.println(count);
    }
    
}