#include <bits/stdc++.h>
using namespace std;
const int INF=2100000000;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
void solve();
int main() {
    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]);
    map<int,int> m;
    map<int,int> dp;
    rep(i,0,N+M){
        int tmp1=p[i],tmp2=X[i],tmp3=1;
        tmp1++;
        while(tmp3<tmp1) tmp3*=2;
        for(int d=29;d>=0;d--){
            if(tmp1&(1<<d)){
                int l=(((1<<30)-(1<<d))&(tmp1^tmp2^(1<<d)));
                int r=l+(1<<d);
                dp[l]--,dp[r]++;
            }
            if(tmp3&(1<<d)){
                int l=(((1<<30)-(1<<d))&(tmp3^tmp2^(1<<d)));
                int r=l+(1<<d);
                dp[l]+=2,dp[r]-=2;
                m[l]++,m[r]--;
            }
        }
        if(tmp1==(1<<30)) dp[0]--,dp[1<<30]++;
        if(tmp3==(1<<30)) dp[0]+=2,dp[1<<30]-=2,m[0]++,m[1<<30]--;
        dp[X[i]]--,dp[X[i]+1]++;
    }
    int ans=INF;
    int tmp=0;
    int v=0;
    for(auto x:dp){
        tmp+=m[x.first];
        v+=x.second;
        //cout<<x.first<<" "<<tmp<<" "<<v<<endl;
        if(tmp==N+M) chmin(ans,v);
    }
    if(ans!=INF) cout<<ans<<"\n";
    else cout<<"-1\n";
}