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()[::-1]
l=[0]*2019
a=1
d=0

for s in S:
  d=d+int(s)*a
  l[d%2019]+=1
  a*=10
  a%=2019
  
ans=l[0]
for i in l:
  if i>=2:
    ans+=i*(i-1)//2
    
print(ans)