M2

#include <bits/stdc++.h>

using namespace std;

#define cin_2d(vec, n, m) for(int i = 0; i < n; i++) for(int j = 0; j < m && cin >> vec[i][j]; j++);
#define cout_2d(vec, n, m) for(int i = 0; i < n; i++, cout << "\n") for(int j = 0; j < m && cout << vec[i][j] << " "; j++);
#define cout_map(mp) for(auto& [f, s] : mp) cout << f << "  " << s << "\n";
#define Time cerr << "Time Taken: " << (float)clock() / CLOCKS_PER_SEC << " Secs" << "\n";
#define fixed(n) fixed << setprecision(n)
#define ceil(n, m) (((n) / (m)) + ((n) % (m) ? 1 : 0))
#define fill(vec, value) memset(vec, value, sizeof(vec));
#define Num_of_Digits(n) ((int)log10(n) + 1)
#define mod_combine(a, b, m) (((a % m) * (b % m)) % m)
#define all(vec) vec.begin(), vec.end()
#define rall(vec) vec.rbegin(), vec.rend()
#define sz(x) int(x.size())
#define debug(x) cout << #x << ": " << (x) << "\n";
#define fi first
#define se second
#define Pair pair < int, int >
#define ll long long
#define ull unsigned long long
#define Mod  1'000'000'007
#define OO 2'000'000'000
#define EPS 1e-9
#define PI acos(-1)

template < typename T = int > istream& operator >> (istream &in, vector < T > &v) {
    for (auto &x: v) in >> x;
    return in;
}

template < typename T = int > ostream& operator << (ostream &out, const vector < T > &v) {
    for (const T &x: v) out << x << ' ';
    return out;
}

void AhMeD_HoSSaM(){
    ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
    freopen("shop.in", "r", stdin);
    /*#ifndef ONLINE_JUDGE
        freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout);
    #endif*/
}

ll cost(ll n){
    if(n == 1) return 1;
    ll cost = 0;
    while(n % 2 == 0) cost += 2, n /= 2;
    for(int i = 3; i <= sqrt(n); i += 2)
        while(n % i == 0)
            cost += i, n /= i;
    if(n > 2) cost += n;
    return cost;
}

void Solve(){
    int n, x, cnt = 0;
    cin >> n >> x;
    vector < ll > v(n);
    cin >> v;
    for(auto& i : v) i = cost(i);
    sort(all(v));
    for(auto& i : v){
        if(i <= x) cnt++, x -= i;
        else break;
    }
    cout << cnt << "\n";
}

int main(){
    AhMeD_HoSSaM();
    int t = 1;
    cin >> t;
    while(t--)
        Solve();
    return 0;
}