B

#include <bits/stdc++.h>

using namespace std;

#define ll     long long
#define _test   int _TEST; cin>>_TEST; while(_TEST--)

int main()
{
    _test
    {
        int n, m;
        cin>>n>>m;

        vector<int> a(n), b(m);
        for(auto &e: a)     cin>>e;
        for(auto &e: b)     cin>>e;

        int ini = 0;
        for(auto e: a)
            ini ^= e;

        if(n%2 == 0)
        {
            int val = 0;

            for(int bit=30; bit>=0; bit--)
            {
                int ca=0,cb=0;

                for(auto e: a)
                    ca += (((1<<bit)&e) > 0);
                for(auto e: b)
                    cb += (((1<<bit)&e) > 0);

                if(ca%2 && !cb)
                    val += (1<<bit);
            }

            cout<<val<<" "<<ini<<"\n";
        }
        else
        {
            int val = 0;

            for(int bit=30; bit>=0; bit--)
            {
                int ca=0,cb=0;

                for(auto e: a)
                    ca += (((1<<bit)&e) > 0);
                for(auto e: b)
                    cb += (((1<<bit)&e) > 0);

                if(ca%2 || cb>0)
                    val += (1<<bit);
            }

            cout<<ini<<" "<<val<<"\n";
        }
    }
}