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=str(input())
l=len(S)
ans=0
dig=1
mod=[0]*2019
mod[0]=1
t=0
for i in range(l):
    t=(t+int(S[-i-1])*dig)%2019
    mod[t]+=1
    dig=(dig*10)%2019
    
for j in mod:
    ans=ans+(j*(j-1))//2
print(ans)
