#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
const ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p,int ty=0){
if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}



void solve();
// oddloop
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int t=1;
    cin>>t;
    rep(i,0,t) solve();
}

void solve(){
    int N,M;
    cin>>N>>M;
    vector<int> p(N),q(M);
    rep(i,0,N) cin>>p[i];
    rep(i,0,M) cin>>q[i];
    vector<vector<int>> A(N,vector<int>(M));
    rep(i,0,N) rep(j,0,M) cin>>A[i][j];
    vector<int> X(N),Y(M);
    Y=A[0];
    rep(i,0,N) X[i]=(A[i][0]^Y[0]);
    rep(i,0,N) rep(j,0,M){
        if(A[i][j]^X[i]^Y[j]){
            cout<<"-1\n";
            return;
        }
    }
    rep(i,0,M) p.push_back(q[i]),X.push_back(Y[i]);
    vector<set<int>> s(30);
    map<int,int> m;
    map<int,int> dp;
    rep(i,0,N+M){
        int tmp1=p[i],tmp2=X[i];
        m[X[i]]++;
        for(int d=29;d>=0;d--){
            if(tmp1&(1<<d)){

            }
            else{
                int l=(((1<<30)-(1<<d))&(tmp1^tmp2^(1<<d)));
                int r=l+(1<<d);
                s[d].insert(l);
                dp[l]++,dp[r]--;
            }
        }
    }
    int ans=-1;
    for(auto x:m){
        int tmp=x.first;
        bool ok=1;
        rep(d,0,30){
            if(s[d].count(((1<<30)-(1<<d))&tmp)) ok=0;
        }
        if(ok) chmax(ans,x.second);
    }
    if(!dp.empty()){
        if(!(dp.count(0)&&dp.count(1<<30))) chmax(ans,0);
        int v=0;
        dp.erase(1<<30);
        for(auto x:dp){
            v+=x.second;
            if(v==0) chmax(ans,0);
        }
    }
    if(ans>=0) cout<<N+M-ans<<"\n";
    else cout<<"-1\n";
}