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 JavaScript (Node.js 12.16.1) (judge verdict: Wrong Answer)

function main(lines) {
  const input = lines
  let count = 0

  for(let i=0; i<input.length-3; i++){
    for(let j=i+3; j<=input.length; j++){
      if(input.slice(i,j)%2019 === 0){
        count++
      }
    }
  }
  console.log(count)

}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));