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 PHP (7.4.4) (judge verdict: Time Limit Exceeded)

<?php
$S = trim(fgets(STDIN));
$len = strlen($S);

$ans = 0;

for ($n = 4; $n <= $len; $n++) {
    for ($i = 0; $i + $n <= $len; $i++) {
        $num = (int)substr($S, $i, $n);
        if ($num % 2019 === 0) {
            $ans += 1;
        }
    }
}
echo $ans;