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()[::-1]
l = [0 for i in range(2019)]
l[0] = 1
a, b = 0, 1
ans = 0
for i in s:
    a += int(i) * b
    a %= 2019
    b *= 10
    b %= 2019
    l[a] += 1
for i in l:
    ans += i * (i - 1) // 2
print(ans)