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
from collections import deque
s=input()[::-1]
l=[0]*2019
ten=1
sm=0
cnt=0
l[0]=1
for i in range(len(s)):
    sm += int(s[i])*ten
    sm %= 2019
    cnt += l[sm]
    l[sm] += 1
    ten = ten *10 %2019
print(cnt)