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<bits/stdc++.h>
using namespace std;
typedef long long ll;
int main()
{
    string s;
    cin>>s;
    int len=s.size();
    ll ans=0,p=1,now=0,cnt[2020]={0};
    cnt[0]=1;
    for(int i=len;i--;)
    {
        now=(now+ll(s[i]-'0')*p)%2019;
        ans+=cnt[now]++;
        p=p*10%2019;
    }
    cout<<ans<<endl;
    return 0;
}
