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()
n=len(s)
mod=2019
d=0
p=1
ml=[0]*mod
for i in range(1,n+1):
  k=int(s[-i])
  d+=p*k
  d%=mod
  ml[d]+=1
  p*=10
  p%=mod
ans=0
for i in ml:
  ans+=i*(i-1)//2
print(ans+ml[0])