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()
mods = [0]*2019
mods[0] = 1
accu = 0
for i, j in enumerate(reversed(s)):
    accu += int(j)*pow(10, i, 2019)
    accu %= 2019
    mods[accu] += 1
ans = 0
for i in mods:
    ans += i*(i-1)//2
print(ans)