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()

n = len(s)
c = [0]*2019
c[0]+=1
t = 0
digit = 1
for ss in s[::-1]:
    t = (t+int(ss)*digit) % 2019
    digit = (digit * 10) % 2019
    c[t]+=1
ans = 0
ans = sum(cc*(cc-1)//2 for cc in c)
print(ans)