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#include<bits/stdc++.h>
using namespace std;
int n;
string tmp;
vector<int>sum;
void getcd(set<int>&c,int tal){
    for(int i=2;i<=tal;i++){
        if(tal%i==0){
            c.insert(i);
        }
        while(tal%i==0)tal/=i;
    }
}
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin>>n;
    while(n--){
        cin>>tmp;
        sum.resize(tmp.size());
        sum[0]=tmp[0]-'0';
        for(int i=1;i!=tmp.size();i++)
            sum[i]=sum[i-1]+tmp[i]-'0';
        int total=sum.back();
        set<int>cd;
        getcd(cd,total);
        int ff=0;
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