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]

count=[0]*2019
count[0]+=1
sd=0
d=1
for c in s:
   sd+=int(c)*d
   sd%=2019
   d*=10
   d%=2019
   count[sd]+=1

ans=0
for cnt in count:
    ans+=cnt*(cnt-1)//2

print(ans)

