#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
void solve(int cs) {
int n;
cin >> n;
map<int,int> v;
int64_t S = 0;
for (int i = 0; i < n; i++) {
int x;
cin >> x;
S += x;
v[x % 3] += 1;
}
if (S % 3 == 0) cout << n << "\n";
else if (S % 3 == 1) {
if (v[1] > 0) cout << n - 1 << "\n";
else cout << n - 2 << "\n";
} else {
if (v[2] > 0) cout << n - 1 << "\n";
else cout << n - 2 << "\n";
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tc = 1;
cin >> tc;
for (int cs = 1; cs <= tc; cs++) {
solve(cs);
}
return 0;
}