#include using namespace std; #define rep(i, n) for (int i=0; i struct csr { std::vector start; std::vector elist; csr(int n, const std::vector>& edges) : start(n + 1), elist(edges.size()) { for (auto e : edges) { start[e.first + 1]++; } for (int i = 1; i <= n; i++) { start[i] += start[i - 1]; } auto counter = start; for (auto e : edges) { elist[counter[e.first]++] = e.second; } } }; // Reference: // R. Tarjan, // Depth-First Search and Linear Graph Algorithms struct scc_graph { public: scc_graph(int n) : _n(n) {} int num_vertices() { return _n; } void add_edge(int from, int to) { edges.push_back({from, {to}}); } // @return pair of (# of scc, scc id) std::pair> scc_ids() { auto g = csr(_n, edges); int now_ord = 0, group_num = 0; std::vector visited, low(_n), ord(_n, -1), ids(_n); visited.reserve(_n); auto dfs = [&](auto self, int v) -> void { low[v] = ord[v] = now_ord++; visited.push_back(v); for (int i = g.start[v]; i < g.start[v + 1]; i++) { auto to = g.elist[i].to; if (ord[to] == -1) { self(self, to); low[v] = std::min(low[v], low[to]); } else { low[v] = std::min(low[v], ord[to]); } } if (low[v] == ord[v]) { while (true) { int u = visited.back(); visited.pop_back(); ord[u] = _n; ids[u] = group_num; if (u == v) break; } group_num++; } }; for (int i = 0; i < _n; i++) { if (ord[i] == -1) dfs(dfs, i); } for (auto& x : ids) { x = group_num - 1 - x; } return {group_num, ids}; } std::vector> scc() { auto ids = scc_ids(); int group_num = ids.first; std::vector counts(group_num); for (auto x : ids.second) counts[x]++; std::vector> groups(ids.first); for (int i = 0; i < group_num; i++) { groups[i].reserve(counts[i]); } for (int i = 0; i < _n; i++) { groups[ids.second[i]].push_back(i); } return groups; } private: int _n; struct edge { int to; }; std::vector> edges; }; struct two_sat { public: two_sat() : _n(0), scc(0) {} two_sat(int n) : _n(n), _answer(n), scc(2 * n) {} void add_clause(int i, bool f, int j, bool g) { assert(0 <= i && i < _n); assert(0 <= j && j < _n); scc.add_edge(2 * i + (f ? 0 : 1), 2 * j + (g ? 1 : 0)); scc.add_edge(2 * j + (g ? 0 : 1), 2 * i + (f ? 1 : 0)); } bool satisfiable() { auto id = scc.scc_ids().second; for (int i = 0; i < _n; i++) { if (id[2 * i] == id[2 * i + 1]) return false; _answer[i] = id[2 * i] < id[2 * i + 1]; } return true; } std::vector answer() { return _answer; } private: int _n; std::vector _answer; scc_graph scc; }; int main() { int N; cin >> N; int S[N], T[N], U[N]; rep(i, N) cin >> S[i]; rep(i, N) cin >> T[i]; rep(i, N) cin >> U[i]; two_sat ts(N*N); rep(i, N) { if (U[i]==0) rep(j, N) ts.add_clause((S[i]-1)*N+j, true, j*N+T[i]-1, true); else if (U[i]==1) rep(j, N) ts.add_clause((S[i]-1)*N+j, false, j*N+T[i]-1, true); else if (U[i]==2) rep(j, N) ts.add_clause((S[i]-1)*N+j, true, j*N+T[i]-1, false); else rep(j, N) ts.add_clause((S[i]-1)*N+j, false, j*N+T[i]-1, false); } if (!ts.satisfiable()) {cout << -1 << endl; exit(0);} vector ans = ts.answer(); rep(i, N) { rep(j, N) { cout << ans[i*N+j]; if (j