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 = list(input())
L = [0]*2019
L[0]=1
digit = 1
x = 0

for i in S[::-1]:
    x += digit*int(i)
    digit *= 10
    x %= 2019
    digit %= 2019 
    L[x] += 1

ans = 0

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

print(ans)