/* #region Head */ #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define endl '\n' #define sqrt sqrtl #define floor floorl #define log2 log2l constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #define DEBUG_ #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; string yes = "Yes", no = "No"; // string yes = "YES", no = "NO"; void yn(bool p) { cout << (p ? yes : no) << endl; } /* #endregion */ /* #region Graph */ // エッジ(本来エッジは双方向だが,ここでは単方向で管理) template struct Edge { ll src; // エッジ始点となる頂点 ll dst; // エッジ終点となる頂点 weight_t weight; // 重み flow_t cap; Edge() : src(0), dst(0), weight(0) {} Edge(ll src, ll dst, weight_t weight) : src(src), dst(dst), weight(weight) {} Edge(ll src, ll dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {} // Edge 標準出力 friend ostream &operator<<(ostream &os, Edge &edge) { os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")"; return os; } }; // 同じ頂点を始点とするエッジ集合 template class Node : public vc> { public: ll idx; Node() : vc>() {} // void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); }; }; // graph[i] := 頂点 i を始点とするエッジ集合 template class Graph : public vc> { public: Graph() : vc>() {} Graph(int n) : vc>(n) { REP(i, 0, n)(*this)[i].idx = i; } // 単方向 void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); } // 双方向 void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); } }; // using Array = vc; // using Matrix = vc; /* #endregion */ /* #region scc */ // 強連結成分分解 template vll scc(const Graph &g) { ll n = SIZE(g); // ノード数 Graph rg(n); // 逆向きのグラフ for (const Node &es : g) for (Edge e : es) { swap(e.src, e.dst); rg[e.src].emplace_back(e); } vll order; order.reserve(n); { // dfs 1回目 vc visited(n), added(n); REP(i, 0, n) { if (visited[i]) continue; stack stk; stk.push(i); while (!stk.empty()) { ll cur = stk.top(); visited[cur] = true; bool pushed = false; for (const Edge &e : g[cur]) if (!visited[e.dst]) stk.push(e.dst), pushed = true; if (!pushed) { // カレントノードからは未訪問ノードへ到達できない ll t = stk.top(); stk.pop(); // 未訪問ノードへ到達できないノードは除いていく if (!added[t]) added[t] = true, order.push_back(t); } } } reverse(ALL(order)); } vll ret(n, -1); { // dfs 2回目 ll groupnum = 0; for (ll &v : order) { if (ret[v] != -1) continue; stack stk; stk.push(v); while (!stk.empty()) { ll cur = stk.top(); stk.pop(), ret[cur] = groupnum; for (Edge &e : rg[cur]) if (ret[e.dst] == -1) stk.push(e.dst); } ++groupnum; } } return ret; } /* #endregion */ /* #region TwoSat */ // 2-SAT struct TwoSat { using G = Graph; int _var_cnt; // 命題論理式に含まれる変数の個数 int _sz; // グラフのサイズ G graph; // graph[i] <-> not(graph[i+_var_cnt]) vc result; // 結果格納用,外からアクセスする前提 // var_cnt: 変数の個数,P と ¬P あわせて1個. TwoSat(int var_cnt) : _var_cnt(var_cnt), _sz(var_cnt * 2), graph(_sz), result(var_cnt) {} // (x ∨ y) の形の節を追加する.¬x は x+_var_cnt に変えておく. void add_arcs(int x, int y) { graph.add_arc((x + _var_cnt) % _sz, y); // ¬x -> y graph.add_arc((y + _var_cnt) % _sz, x); // ¬y -> x } // 充足可能性を判定する.不能なら false. 可能なら result に変数の T/F を入れる. bool sat() { vll groups = scc(graph); // dump(groups); REP(i, 0, _var_cnt) if (groups[i] == groups[i + _var_cnt]) return false; REP(i, 0, _var_cnt) result[i] = groups[i] > groups[i + _var_cnt]; return true; } }; /* #endregion */ // Problem void solve() { ll n; cin >> n; vll s(n), t(n), u(n); cin >> s >> t >> u; ll var_cnt = n * n; TwoSat ts(var_cnt); auto idx = [&n](ll row, ll col) -> ll { return n * row + col; }; REP(i, 0, n) { // i 個目の条件 s[i]--, t[i]--; bool on_sj = !(u[i] & 1), on_jt = !((u[i] >> 1) & 1); int offset_sj = on_sj ? 0 : var_cnt; int offset_jt = on_jt ? 0 : var_cnt; // dump(offset_sj, offset_jt); REP(j, 0, n) { int p1 = idx(s[i], j) + offset_sj; int p2 = idx(j, t[i]) + offset_jt; // dump(p1, p2); ts.add_arcs(p1, p2); } } if (ts.sat()) { REP(row, 0, n) { REP(col, 0, n) cout << ts.result[idx(row, col)]; cout << endl; } } else { cout << -1 << endl; } } // entry point int main() { solve(); return 0; }