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#include <bits/stdc++.h>
using namespace std;
const int SIZE=2e5+5;
int tab[SIZE];
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    long long X,Y,Z,SP,bud;
    int T,N,a,ind1,ind2,x;
    cin>>T;

    while(T--){
    SP=0;

    cin>>N;

    for(int i=1;i<=N;i++){
        cin>>a;
        tab[i]=a;
        if(a){SP++;}
    }

    ind1=0;ind2=4e7;

    while(ind1<=ind2){
        x=(ind1+ind2)/2;
        bud=x;
        X=0;
        Y=SP;

        for(int i=1;i<=N;i++){
            if(!tab[i]){continue;}

            Y--;
            Z=0;
            while(Z<200){
                if(bud-Z<0){bud=-1;break;}
                if(X*(Y+bud-Z)*(Z+1) >=tab[i]){break;}
                if(X*(Y+bud-Z)*(Z+1) + (X+Y+bud-Z)*(Z*Z+Z)/2 >=tab[i]){break;}
                if(X*(Y+bud-Z)*(Z+1) + (X+Y+bud-Z)*(Z*Z+Z)/2 + (Z*Z*Z-Z)/6 >=tab[i]){break;}
                Z++;
            }
            if(bud==-1){break;}
            X+=Z+1;
            bud-=Z;
        }
        if(bud>=0){
            ind2=x-1;
        }else ind1=x+1;
    }
    cout<<ind2+1+SP<<'\n';

    }

    //cout<<X;
return 0;}