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.

Examples

Input

1817181712114


Output

3


Input

14282668646


Output

2


Input

2119


Output

0
S = input()
s = S[::-1]

cnt = [0]*2019
cnt[0] = 1
number = 0
d = 1

for i in s:
  number += int(i)*d
  cnt[number % 2019] += 1
  d *= 10
  d = d % 2019

ans = 0
for i in cnt:
  ans += i*(i-1) // 2

print(ans)