// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

// function
vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}
string ctos(vector<char> &S) {
    int n      = S.size();
    string ret = "";
    for (int i = 0; i < n; i++) ret += S[i];
    return ret;
}

template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}

// input and output
namespace io {

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// set<T>
template <typename T>
ostream &operator<<(ostream &os, set<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// unordered_set<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_set<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// multiset<T>
template <typename T>
ostream &operator<<(ostream &os, multiset<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// unordered_multiset<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_multiset<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, map<S, T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// unordered_map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, unordered_map<S, T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// queue<T>
template <typename T>
ostream &operator<<(ostream &os, queue<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.front();
        B.pop();
        if (!B.empty()) os << ' ';
    }
    return os;
}

// deque<T>
template <typename T>
ostream &operator<<(ostream &os, deque<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.front();
        B.pop_front();
        if (!B.empty()) os << ' ';
    }
    return os;
}

// stack<T>
template <typename T>
ostream &operator<<(ostream &os, stack<T> &A) {
    auto B = A;
    stack<T> C;
    while (!B.empty()) {
        C.push(B.top());
        B.pop();
    }
    while (!C.empty()) {
        os << C.top();
        C.pop();
        if (!C.empty()) os << ' ';
    }
    return os;
}

// priority_queue<T>
template <typename T>
ostream &operator<<(ostream &os, priority_queue<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.top();
        B.pop();
        if (!B.empty()) os << endl;
    }
    return os;
}

// bitset<N>
template <size_t N>
ostream &operator<<(ostream &os, bitset<N> &A) {
    for (size_t i = 0; i < N; i++) {
        os << A[i];
    }
    return os;
}

// io functions
void FLUSH() {
    cout << flush;
}

void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}

template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void prispa(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}

template <class... T>
void inp(T &...a) {
    (cin >> ... >> a);
}

} // namespace io
using namespace io;

// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}

template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

// no
inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

const ll inf = 1LL << 60;

void solve() {
    INT(n, m);
    VEC(ll, R, n);
    VEC(ll, C, m);
    VVEC(ll, A, n, m);

    vec(ll, X, 0);
    vec(ll, Y, 0);
    fori(i, n - 1, 0, -1) {
        ll x = A[i][0] ^ A[i - 1][0];
        fori(j, m) {
            if ((A[i][j] ^ A[i - 1][j]) != x) {
                print(-1);
                return;
            }
        }
        X.push_back(x);
        Y.push_back(R[i]);
    }
    X.push_back(A[0][0]);
    Y.push_back(R[0]);
    fori(j, m - 1) {
        ll x = A[0][j] ^ A[0][j + 1];
        fori(i, n) {
            if ((A[i][j] ^ A[i][j + 1]) != x) {
                print(-1);
                return;
            }
        }
        X.push_back(x);
        Y.push_back(C[j]);
    }
    Y.push_back(C[m - 1]);

    ll ans = inf;

    vec(ll, MA, n + m);
    fori(i, n + m) {
        ll y  = Y[i];
        int t = 0;
        while (y >= (1 << t)) t++;
        MA[i] = t;
    }

    auto dfs = [&](auto &&self, vector<ll> &L, vector<ll> &X, vector<ll> &M, int t, ll tot) -> void {
        if (X.empty() or t == -1) {
            chmin(ans, tot);
            return;
        }
        ll ma = (1LL << t) - 1;
        fori(i, 2) {
            ll ntot = tot;
            vec(int, ind, 0);
            ll y    = i;
            bool ok = true;
            fori(i, L.size()) {
                if (y == 0) {
                    if ((L[i] >> t) & 1) {
                        ntot++;
                    } else {
                        ind.push_back(i);
                    }

                } else {
                    if (M[i] <= t) {
                        ok = false;
                        break;
                    } else if ((L[i] >> t) & 1) {
                        ind.push_back(i);
                    } else {
                        ntot += 2;
                    }
                }
                if (i != L.size() - 1) {
                    y ^= (X[i] >> t) & 1;
                }
            }

            if (!ok) continue;

            vec(ll, nL, 0);
            vec(ll, nX, 0);
            vec(ll, nM, 0);
            for (auto i : ind) {
                nL.push_back(L[i]);
                nM.push_back(M[i]);
            }
            if (!ind.empty()) {
                int b = ind[0];
                fori(i, 1, ind.size()) {
                    ll x = 0;
                    fori(j, b, ind[i]) {
                        x ^= X[j];
                    }
                    b = ind[i];
                    nX.push_back(x);
                }
            }

            self(self, nL, nX, nM, t - 1, ntot);
        }
    };
    dfs(dfs, Y, X, MA, 30, 0);

    fori(i, n + m) {
        ll tot = 0;
        ll x   = 0;
        fori(j, i + 1, n + m) {
            x ^= X[j - 1];
            if (x == 0) {
            } else if (x <= Y[j])
                tot++;
            else if (x < (1LL << MA[j]))
                tot += 2;
            else {
                tot = inf;
                break;
            }
        }

        x = 0;

        fori(j, i - 1, -1, -1) {
            x ^= X[j];
            if (x == 0) {
            } else if (x <= Y[j])
                tot++;
            else if (x < (1LL << MA[j]))
                tot += 2;
            else {
                tot = inf;
                break;
            }
        }

        chmin(ans, tot);
    }

    if (ans == inf) ans = -1;
    print(ans);
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    cin >> t;
    while (t--) solve();
    return 0;
}