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 Perl (5.26.1) (judge verdict: Wrong Answer)

#! /usr/bin/perl

use strict;
use warnings;

my $in = <>;
my $len = length($in);

my $ok = 0;
for(my $i = 0;$i < $len;$i ++){
    for(my $j = $i + 4;$j < $len;$j ++){
        if(substr($in, $i, $j-$i) % 2019 == 0){
            print $i+1, " ", $j+1, "\n";
            $ok = 1;
        }
    }
}
print "0\n" unless $ok;