#include<stdio.h>
FILE*f=fopen("auto.in","r");
FILE*g=fopen("auto.out","w");
#define Nmax 9003
int a[Nmax],n;
int ok(int k)
 {
  int i;
  int sum[Nmax],s,p=1;
  int b[Nmax];
  sum[1] = s = a[1];
  b[1] = a[1];
  int nr=1;
  for(i=2;i<=n;++i)
   {
     if(nr == k) { s-=sum[p++]; --nr; }
     sum[i] = a[i] - s;
     ++nr;
     s += sum[i];
     if(sum[i] < 0) return 0;
   }
 if(k>1 && sum[n]) return 0;
 return 1;
 }
void solve()
 {
  fscanf(f,"%d",&n);
  int i;
  int s=0;
  for(i=1;i<=n;++i)
   {
    fscanf(f,"%d",&a[i]);
    s+=a[i];
   }
  for(i=1;i<=s/2 && i<=n;++i) if(s%i==0) if(ok(i)) fprintf(g,"%d ",i);
  if(s && s<=n && ok(s)) fprintf(g,"%d",s);
  fprintf(g,"\n");
 }
int main()
 {
  int t;
  fscanf(f,"%d",&t);
  while(t--)
   {
    solve();
   }
  return 0;
 }