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 Julia (1.4.0) (judge verdict: Time Limit Exceeded)

function main()
  
  S = chomp(readline())
  N = length(S)
  
  cnt = 0
  
  for i in 1:N
    for j in 1:N-i
      
      check = parse(BigInt, join(S[j:j+i]))
      if check % 2019 == 0
        cnt += 1
      end
      
    end
  end
  
  println(cnt)
  
end

main()