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
P = 2019
S=input()
N = len(S)
ans=0

rem = [0]*P
mod = 0
ten = 1
rem[mod]=1
for i in range(N):
    mod=(mod+int(S[N-i-1])*ten)%P
    ten=ten*10%P
    rem[mod]+=1
for j in rem:
    ans+=(j*(j-1))//2
print(ans)
