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
#include <iostream>
using namespace std;
long long N,P,ans,cur,t=1,cnt[10010],i;string S;
int main()
{
    cin>>S;
    N = S.size();P = 2019;
        cnt[0]=1;
        for(i=N-1;i>=0;i--){
            (cur+=(S[i]-'0')*t)%=P;
            ans+=cnt[cur]++;
            t=t*10%P;
        }
    cout<<ans;
}
