// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second template auto constexpr inf = numeric_limits::max()/2-1; auto constexpr INF32 = inf; auto constexpr INF64 = inf; auto constexpr INF = inf; #ifdef LOCAL #include "debug.hpp" #define dump(...) cerr << "[" << setw(3) << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__) #define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl #define debug if (1) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template using pque_max = priority_queue; template using pque_min = priority_queue, greater >; template ::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template ::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << "(" << p.first << ", " << p.second << ")"; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(v.begin(), v.end(), x)-v.begin(); } template int ubd(C const& v, T const& x) { return upper_bound(v.begin(), v.end(), x)-v.begin(); } template int ppt(C const& v, F f) { return partition_point(v.begin(), v.end(), f)-v.begin(); } // <<< // >>> scc constexpr int dst(int v) { return v; } template constexpr int dst(E const& e) { return e.to; } template struct SCC { vector > const& g; vector ord, low, st; int32_t time = 0, pos = 0, sz = 0; SCC(vector > const& g) : g(g), ord(g.size()), low(g.size()), st(g.size()) { rep (v,g.size()) if (ord[v] == 0) dfs(v); for (auto &x : ord) x += sz; } void dfs(int v) { low[v] = ord[v] = ++time; st[pos++] = v; for (auto const& e : g[v]) { if (ord[dst(e)] == 0) { dfs(dst(e)); chmin(low[v], low[dst(e)]); } else if (ord[dst(e)] > 0) { chmin(low[v], ord[dst(e)]); } } if (low[v] == ord[v]) { sz++; do ord[st[--pos]] = -sz; while (st[pos] != v); } } // t-sorted id int id(int v) const { return ord[v]; } int size() const { return sz; } vector> groups() const { vector > grp(sz); rep (v,g.size()) grp[ord[v]].push_back(v); return grp; } // no multiple edges, no self-loops // no edge information vector> graph() const { vector> ret(size()); rep (v,g.size()) { for (auto const& e : g[v]) { int x = id(v), y = id(dst(e)); if (x != y) ret[x].push_back(y); } } for (auto &ls : ret) { sort(ls.begin(), ls.end()); ls.erase(unique(ls.begin(), ls.end()), ls.end()); } return ret; } }; template auto get_scc(vector > const& g) { return SCC(g); } // <<< int32_t main() { int n; cin >> n; vector s(n),t(n),u(n); cin >> s >> t >> u; rep (i,n) s[i]--, t[i]--; auto id = [&](int i, int j, int k) { return i*n*2 + j*2 + k; }; vector> g(n*n*2); rep (i,n) rep (j,n) { int x = u[i]>>0&1, y = u[i]>>1&1; g[id(s[i],j,x)].eb(id(j,t[i],!y)); g[id(j,t[i],y)].eb(id(s[i],j,!x)); } auto scc = get_scc(g); auto a = make_v(n,n); rep (i,n) rep (j,n) { int x = scc.id(id(i,j,0)); int y = scc.id(id(i,j,1)); if (x == y) quit(-1); a[i][j] = (x < y); } rep (i,n) cout << a[i] << endl; }