#include #define rep(i,n) for(int i = 0; i < (n); ++i) #define rep1(i,n) for(int i = 1; i <= (n); ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) #define srep(i,s,t) for (int i = s; i < (t); ++i) #define rng(a) a.begin(),a.end() #define rrng(a) a.rbegin(),a.rend() #define fi first #define se second #define pb push_back #define eb emplace_back #define em emplace #define pob pop_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcountll #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); #define newline puts("") #define vc vector using namespace std; template using vv = vc>; template using PQ = priority_queue,greater>; using uint = unsigned; using ull = unsigned long long; using vi = vc; using vvi = vv; using vvvi = vv; using ll = long long; using vl = vc; using vvl = vv; using vvvl = vv; using P = pair; using vp = vc

; using vvp = vv

; using LP = pair; int geti(){int x;cin>>x;return x;} vi pm(int n, int s=0) { vi a(n); iota(rng(a),s); return a;} templateistream& operator>>(istream&i,pair&v){return i>>v.fi>>v.se;} templateostream& operator<<(ostream&o,const pair&v){return o<istream& operator>>(istream&i,vc&v){rep(j,sz(v))i>>v[j];return i;} templatestring join(const T&v,const string&d=""){stringstream s;rep(i,sz(v))(i?s<ostream& operator<<(ostream&o,const vc&v){if(sz(v))o<ostream& operator<<(ostream&o,const vv&v){for(auto&r:v)o<void vin(vc&a){int n;cin>>n;a=vc(n);cin>>a;} templatevoid vin(vv&a){int n,m;cin>>n>>m;a=vv(n,vc(m));cin>>a;} templatevoid operator--(pair&a,int){a.fi--;a.se--;} templatevoid operator++(pair&a,int){a.fi++;a.se++;} templatevoid operator--(vc&a,int){for(T&x:a)x--;} templatevoid operator++(vc&a,int){for(T&x:a)x++;} templatepairoperator+(const pair&a,const pair&b){return {a.fi+b.fi,a.se+b.se};} templatepairoperator-(const pair&a,const pair&b){return {a.fi-b.fi,a.se-b.se};} templatepairoperator*(const pair&a,const pair&b){return {a.fi*b.fi,a.se*b.se};} templatepairoperator*(const pair&a,T b){return {a.fi*b,a.se*b};} templatevoid operator+=(pair&a,const pair&b){a.fi+=b.fi;a.se+=b.se;} templatevoid operator-=(pair&a,const pair&b){a.fi-=b.fi;a.se-=b.se;} templatevoid operator*=(pair&a,const pair&b){a.fi*=b.fi;a.se*=b.se;} templatevoid operator*=(pair&a,T b){a.fi*=b;a.se*=b;} templatevoid operator+=(vc&a,T2 b){for(T1&x:a)x+=b;} templatevoid operator-=(vc&a,T2 b){for(T1&x:a)x-=b;} templatevoid operator*=(vc&a,T2 b){for(T1&x:a)x*=b;} templatevoid operator/=(vc&a,T2 b){for(T1&x:a)x/=b;} templatevoid operator%=(vc&a,T2 b){for(T1&x:a)x%=b;} templatevoid operator+=(vc&a,const vc&b){a.insert(a.end(),rng(b));} templatebool mins(T1& x,const T2&y){if(ybool maxs(T1& x,const T2&y){if(xT min(const vc&a){return *min_element(rng(a));} templateT max(const vc&a){return *max_element(rng(a));} templateTx dup(Tx x, Ty y){return (x+y-1)/y;} templatell suma(const vc&a){ll s=0;for(auto&&x:a)s+=x;return s;} templatell suma(const vv&a){ll s=0;for(auto&&x:a)s+=suma(x);return s;} templatevoid uni(T&a){sort(rng(a));a.erase(unique(rng(a)),a.end());} templatevoid prepend(vc&a,const T2&x){a.insert(a.begin(),x);} const double eps = 1e-10; const ll LINF = 1001002003004005006ll; const int INF = 1001001001; #define dame { cout<<"-1"<<'\n'; return;} #define yes { cout<<"Yes"<<'\n'; return;} #define ye { cout<<"Yes"<<'\n';} #define no { cout<<"No"<<'\n'; return;} #define yn {cout<<"Yes"<<'\n';}else{cout<<"No"<<'\n';} #define rtn(x) { cout<<(x)<<'\n'; return;} // flush! #define endl '\n' vc> mp; void init() { mp.resize(5); rep1(n,4) { int m = n*n; int m2 = 1<>(i*n+j)&1; int t = 0; rep(i,n) { int x = 1; rep(j,n) x &= a[i][j]; t = t<<1|x; } rep(j,n) { int x = 0; rep(i,n) x |= a[i][j]; t = t<<1|x; } vi z(n*2-1); rep(i,n)rep(j,n) z[i+j] ^= a[i][j]; rep(i,n*2-1) t = t<<1|z[i]; mp[n][t] = s; } } } struct Solver { void solve() { int n; cin>>n; vi x(n), y(n), z(n*2-1); cin>>x>>y>>z; vvi ans(n,vi(n)); if (n <= 4) { rep(k,30) { int t = 0; rep(i,n) t = t<<1|(x[i]>>k&1); rep(i,n) t = t<<1|(y[i]>>k&1); rep(i,n*2-1) t = t<<1|(z[i]>>k&1); if (!mp[n].count(t)) rtn(-1); int s = mp[n][t]; rep(i,n)rep(j,n) ans[i][j] |= (s>>(i*n+j)&1)<>k&1) { rep(j,n) a[i][j] |= 2; flag |= 2; } rep(j,n) if (~y[j]>>k&1) { rep(i,n) a[i][j] |= 1; flag |= 1; } a[0][0] |= 1<<(z[0]>>k&1); a[n-1][n-1] |= 1<<(z.back()>>k&1); rep(i,n)rep(j,n) if (a[i][j] == 3) rtn(-1); a--; if (flag) { vi num(n,n); if (flag == 1) { rep(i,n)rep(j,n) a[i][j] = y[j]>>k&1; } else { rep(i,n)rep(j,n) a[i][j] = x[i]>>k&1; } vi nz(n*2-1); rep(i,n*2-1) nz[i] = z[i]>>k&1; rep(i,n)rep(j,n) nz[i+j] ^= a[i][j]; rep(ij,n*2-1) if (nz[ij] && ij != n-1) { if (flag == 1) { rep(i,n) { int j = ij-i; if (j < 0 || j >= n) continue; if (y[j]>>k&1) { a[i][j] ^= 1; num[j]--; break;} } } else { rep(j,n) { int i = ij-j; if (i < 0 || i >= n) continue; if (~x[i]>>k&1) { a[i][j] ^= 1; num[i]--; break;} } } } if (nz[n-1]) { if (flag == 1) { drep(i,n) { int j = n-1-i; if (j < 0 || j >= n) continue; if ((y[j]>>k&1) && num[j] > 1) { a[i][j] ^= 1; num[j]--; break;} } } else { drep(j,n) { int i = n-1-j; if (i < 0 || i >= n) continue; if ((~x[i]>>k&1) && num[i] > 1) { a[i][j] ^= 1; num[i]--; break;} } } } rep(i,n) if (num[i] == 0) dame; } else { rep(i,n)rep(j,n) if (a[i][j] == -1) a[i][j] = (i+j)%2; vi b(n*2-1); rep(i,n)rep(j,n) b[i+j] ^= a[i][j]; rep(ij,n*2-1) if (b[ij] != (z[ij]>>k&1)) { int i = ij-1, j = 1; if (ij >= 4) j++, i--; if (i >= n) j += i-n+1, i = n-1; a[i][j] ^= 1; } } rep(i,n)rep(j,n) ans[i][j] |= a[i][j]<> ts; rep1(ti,ts) { Solver solver; solver.solve(); } return 0; }