#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
template<class T> bool maximize(T &a, const T &b){ return (a < b ? a = b, 1 : 0); }
template<class T> bool minimize(T &a, const T &b){ return (a > b ? a = b, 1 : 0); }
#define fi first
#define se second
#define pb push_back
#define ii pair<int, int>
#define all(x) x.begin(), x.end()
#define TASK "nonsense"
/// end of template ///
const int T = 21;
const int N = 1e3 + 10;
int numTest;
struct Testcase
{
int n,a[N];
Testcase() {}
void input()
{
cin>>n;
for(int i=1;i<=n;++i) cin>>a[i];
}
} test[T];
namespace sub12
{
bool check()
{
bool ok=1;
for(int i=1;i<=numTest;++i) ok&=(test[i].n<=120);
return ok;
}
const int M = (1e5+10)/2;
bitset<M> b;
bool ok[N][N];
int n,a[N];
void solve()
{
for(int tri=1;tri<=numTest;++tri)
{
n=test[tri].n;
for(int i=1;i<=n;++i) a[i]=test[tri].a[i];
for(int i=1;i<=n;++i)
{
b.reset();
b[0]=1;
int curSum=0;
for(int j=i;j<=n;++j)
{
curSum+=a[j];
b|=(b<<a[j]);
ok[i][j]=(!(curSum&1)&&(b[curSum>>1]));
}
}
vector<int> v;
for(int k=1;k<=n;++k)
{
bool ans=1;
for(int i=1;i+k-1<=n;++i) ans&=ok[i][i+k-1];
if(ans) v.pb(k);
}
cout<<(int)v.size()<<' ';
for(int x : v) cout<<x<<' ';
cout<<'\n';
}
}
}
namespace subfull
{
const int M = 5e4 + 5;
int dp[M],p[N],n,a[N];
bool ok[N][N];
void work()
{
for(int i=1;i<=n;++i) p[i]=p[i-1]+a[i];
memset(dp,-1,sizeof(dp));
memset(ok,0,sizeof(ok));
for(int i=1;i<=n;++i)
{
dp[0]=i;
for(int j=p[i];j>=a[i];--j) maximize(dp[j],dp[j-a[i]]);
int r=i;
for(int l=1;l<=i;++l)
{
int sum=p[r]-p[l-1];
if(!(sum&1) && dp[sum>>1]>=l) ok[l][r]=1;
}
}
// for(int i=1;i<=n;++i) for(int j=i;j<=n;++j) cout<<i<<' '<<j<<' '<<ok[i][j]<<'\n';
int cnt=0;
for(int k=1;k<=n;++k)
{
bool is=1;
for(int i=1;i+k-1<=n;++i) is&=ok[i][i+k-1];
// cout<<k<<' '<<is<<'\n';
cnt+=is;
}
cout<<cnt<<' ';
for(int k=1;k<=n;++k)
{
bool is=1;
for(int i=1;i+k-1<=n;++i) is&=ok[i][i+k-1];
if(is) cout<<k<<' ';
}
cout<<'\n';
}
void solve()
{
for(int tri=1;tri<=numTest;++tri)
{
n=test[tri].n;
for(int i=1;i<=n;++i) a[i]=test[tri].a[i];
work();
}
}
}
void solve()
{
cin>>numTest;
for(int i=1;i<=numTest;++i) test[i].input();
if(sub12::check()) return void(sub12::solve());
return void(subfull::solve());
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
// freopen(TASK".inp","r",stdin);
// freopen(TASK".out","w",stdout);
int testcase=1;
// cin>>testcase;
while (testcase--)
solve();
return 0;
}
