1 #include<bits/stdc++.h>
 2 using namespace std;
 3 #define LL long long
 4 
 5 struct node
 6 {
 7     node *child[2];
 8     node(){child[0]=child[1]=NULL;}
 9 };
10 node *root;
11 void Clear(node *p)
12 {
13     if(p==NULL) return;
14     for(int i=0;i<2;++i){
15         if(p->child[i]!=NULL) Clear(p->child[i]);
16     }
17     delete p;
18 }
19 void add(LL num)
20 {
21    node *p=root;
22    int i,bit;
23    for(i=32;i>=0;--i){
24       bit=(num&((LL)1<<i))?1:0;
25       if(p->child[bit]==NULL)
26         p->child[bit]=new node();
27       p=p->child[bit];
28    }
29 }
30 LL solve(LL num)
31 {
32  node *p=root;
33  int i,bit[2];  LL ans=0;
34  for(i=32;i>=0;--i){
35     bit[0]=(num&((LL)1<<i))?1:0;
36     if(p->child[bit[0]^1]!=NULL){
37         p=p->child[bit[0]^1];
38         bit[1]=1;
39     }
40     else {p=p->child[bit[0]];bit[1]=0;}
41     if(bit[1]) ans+=((LL)1<<i);
42  }
43  return ans;
44 }
45 int main()
46 {
47     int T,N,M,i,j,k=0;
48     LL n;
49     cin>>T;
50     while(T--){root=new node();
51         cin>>N>>M;
52         for(i=1;i<=N;++i){
53             scanf("%lld",&n);
54             add(n);
55         }printf("Case #%d:\n",++k);
56         for(i=1;i<=M;++i){
57             scanf("%lld",&n);
58             printf("%lld\n",n^solve(n));
59         }
60         Clear(root);
61     }
62     return 0;
63 }