#include <bits/stdc++.h>
using namespace std;
// https://space.bilibili.com/672346917

#ifndef LOCAL
#define LOG(...) 42
#endif

#define fi first
#define se second
#define pb push_back
#define endl '\n'
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()

typedef long long LL;
typedef pair <int, int> PII;

constexpr LL inf = 1e18;
constexpr double EPS = 1e-8;
const double PI = acos(-1);

int multi_cases = 1;

void A_SOUL_AvA () {
    int n;
    LL H;
    cin >> n >> H;
    vector d(n, vector<LL>(1));
    vector t(n, 0), len(n, 0);

    int l = 0, r = 0;
    for (int i = 0; i < n; i++) {
        int m;
        cin >> t[i] >> m;
        len[i] = m;
        r += max(t[i], len[i]);
        for (int j = 0; j < m; j++) {
            int x;
            cin >> x;
            d[i].pb(x);
        }
        for (int j = 1; j < (int)d[i].size(); j++) {
            d[i][j] += d[i][j - 1];
        }
    }

    LL ans = inf;

    auto chk = [&](int mid) -> bool {
        vector <LL> f(1 << n, inf);

        function <LL(int)> dfs = [&](int S) -> LL {
            if (f[S] != inf) return f[S];

            int tot_time = 0;
            LL damage = 0;
            for (int i = 0; i < n; i++) {
                if (S >> i & 1) {
                    tot_time += t[i];
                }
            }
            for (int i = 0; i < n; i++) {
                if (S >> i & 1 ^ 1) {
                    LL now = d[i][min(len[i], mid - tot_time + 1)];
                    damage = max(damage, now + dfs(S | (1 << i)));
                }
            }
            return f[S] = damage;
        };

        LL damage = dfs(0);
        return damage >= H;
    };

    r = r * 2 + 10;
    while (l < r) {
        int mid = l + r >> 1;
        if (chk(mid)) r = mid;
        else l = mid + 1;
    }

    // cout << r << endl;
    // cout << chk(6) << endl;
    cout << (chk(r) ? r : -1) << endl;
}

int main () {
    cin.tie(nullptr)->sync_with_stdio(false);
    cout << fixed << setprecision(12);

    int T = 1;
    for (multi_cases && cin >> T; T; T--) {
        A_SOUL_AvA ();
    }

    return 0;
}