#ifdef LOCAL #define _GLIBCXX_DEBUG #endif #include using namespace std; #define rep(i,s,t) for(ll i = (ll)(s); i < (ll)(t); i++) #define rrep(i,s,t) for(ll i = (ll)(s-1);(ll)(t) <= i; i--) #define all(x) (x).begin(), (x).end() typedef long long ll; typedef long double ld; typedef pair Pll; typedef vector vl; typedef vector vvl; typedef vector vvvl; constexpr ll INF = numeric_limits::max()/4; constexpr ll n_max = 5e5+10; #define int ll template string to_string(pair p); string to_string(const string &s) {return '"' + s + '"';} string to_string(const char c) {return to_string((string) &c);} string to_string(bool b) {return (b ? "true" : "false");} template string to_string(bitset v){ string res = ""; for(size_t i = 0; i < N; i++) res += static_cast('0' + v[i]); return res; } template string to_string(A v) { bool first = true; string res = "{"; for(const auto &x : v) { if(!first) res += ", "; first = false; res += to_string(x); } res += "}"; return res; } template string to_string(pair p){return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";} void debug_out() {cerr << endl;} template void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif template struct edge{ int f,t; T c; int id; edge(){}; edge(int f,int t,T c,int id = 0):f(f),t(t),c(c),id(id){}; bool operator< (const edge &rhs) const { return (*this).c < rhs.c; } bool operator> (const edge &rhs) const { return (*this).c > rhs.c; } }; template struct graph{ std::vector > > data; graph(){}; graph(int v):data(v){}; void resize(int n){ data.resize(n); } void add_edge(edge &e){ data[e.f].push_back(e); } void add_edge(int f,int t,T c){ data[f].emplace_back(f,t,c); } size_t size(){ return data.size(); } vector> operator[](int n){ return data[n]; } std::vector> make_edges(){ std::vector> r; for(auto &i:data)std::copy(i.begin(),i.end(),std::back_inserter(r)); return r; } }; template string to_string(edge e){ return "(" + to_string(e.f) + ", " + to_string(e.t) + ", " + to_string(e.c) + ")"; } template bool chmax(T &a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T &a, T b){if(a > b){a = b; return true;} return false;} // 強連結成分分解 template struct SCC { public: int V; graph g; vector cmp; graph dag; vector> group; SCC(){}; SCC(int n):V(n){ g.resize(V); rg.resize(V); used.resize(V, 0); cmp.resize(V); } SCC(graph &graph){ g = graph; V = g.size(); rg.resize(V); used.resize(V, 0); cmp.resize(V); for(int v = 0;v < V; v++) { for(auto &e : graph[v]){ rg.add_edge(e.t, e.f, e.c); } } build(); } void add_edge(int f, int t, T c = 0){ g.add_edge(f, t, c); rg.add_edge(t, f, c); } void build(){ fill(used.begin(), used.end(), 0); vs.clear(); for(int v = 0;v < V; v++) { if(!used[v]) dfs(v); } fill(used.begin(), used.end(), 0); ll k = 0; for(int i = vs.size()-1; 0 <= i; i--) { if(!used[vs[i]]) rdfs(vs[i], k++); } dag.resize(k); for(int i = 0; i < V; i++) { for(auto &e : g[i]) { int x = cmp[e.f], y = cmp[e.t]; if(x == y)continue; dag.add_edge(x, y, e.c); } } group.resize(k); for(int i = 0; i < g.size(); i++){ group[cmp[i]].emplace_back(i); } } private: graph rg; vector vs, used; void dfs(int v){ used[v] = 1; for(auto &e : g[v]) { if(!used[e.t]) dfs(e.t); } vs.emplace_back(v); } void rdfs(int v, int k) { used[v] = 1; cmp[v] = k; for(auto &e : rg[v]){ if(!used[e.t]) rdfs(e.t, k); } } }; signed main(){ cin.tie(nullptr); ios::sync_with_stdio(false); ll n; cin >> n; vector s(n); for(int i = 0; i < n; i++) cin >> s[i]; vector t(n); for(int i = 0; i < n; i++) cin >> t[i]; vector u(n); for(int i = 0; i < n; i++) cin >> u[i]; rep(i,0,n){ s[i]--;t[i]--; } auto node = [&](ll i, ll j, ll k){ return 2 * (i * n + j) + k; }; auto rev = [&](ll nd, ll* k) -> pair{ if(nd & 1){ *k = 1; nd--; } else{ *k = 0; } nd /= 2; return {nd / n, nd % n}; }; // ll k = 1; // debug(rev(10, &k)); // debug(k); graph g(n*n*2); // g.resize(n*n*2);rg.resize(n*n*2);cmp.resize(n*n*2); // V = n * n * 2; rep(i,0,n)rep(j,0,n){ ll f1, f2, t1, t2; if(u[i] == 0){ f1 = f2 = 0; t1 = t2 = 1; } if(u[i] == 1){ f1 = t1 = 1; f2 = t2 = 0; } if(u[i] == 2){ f1 = t1 = 0; f2 = t2 = 1; } if(u[i] == 3){ f1 = f2 = 1; t1 = t2 = 0; } // debug(s[i], j, t[i], node(s[i], j, f1), node(j, t[i], t1)); g.add_edge(node(s[i], j, f1), node(j, t[i], t1), 0); g.add_edge(node(j, t[i], f2), node(s[i], j, t2), 0); } SCC scc(g); // scc.build(); debug(scc.g.data); debug(scc.cmp); rep(v,0,n*n){ if(scc.cmp[v*2] == scc.cmp[v*2 + 1]){ cout << -1 << endl; return 0; } } vector> ans(n, vector(n)); ll k = 0; rep(v, 0, n*n){ if(scc.cmp[v*2] > scc.cmp[v*2 + 1]){ auto p = rev(v*2, &k); ans[p.first][p.second] = k; } else{ auto p = rev(v * 2 + 1, &k); ans[p.first][p.second] = k; } } for(auto &vec : ans){ for(auto &t : vec){ cout << t; if(&t != &vec.back()) cout << " "; else cout << "\n"; } } }