#pragma GCC optimize ("O3") #include "bits/stdc++.h" using namespace std; using ll = long long int; #define all(v) (v).begin(),(v).end() #define repeat(cnt,l) for(typename remove_const::type>::type cnt={};(cnt)<(l);++(cnt)) #define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt)) const long long MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L; template inline ostream& operator <<(ostream &o, const pair p) { o << '(' << p.first << ':' << p.second << ')'; return o; } template inline T& chmax(T& to, const T& val) { return to = max(to, val); } template inline T& chmin(T& to, const T& val) { return to = min(to, val); } void bye(string s, int code = 0) { cout << s << endl; exit(code); } mt19937_64 randdev(8901016); template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution(l, h)(rand); } template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution(l, h)(rand); } template struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} }; template static ostream& operator<<(ostream& o, const MyRangeFormat& f) { o << "[ "; iterate(i,f.b,f.e) o<<*i<<' '; return o << ']'; } template struct MyMatrixFormat{ const I& p; long long n, m; MyMatrixFormat(const I& _p, long long _n, long long _m):p(_p),n(_n),m(_m){} }; template static ostream& operator<<(ostream& o, const MyMatrixFormat& f) { o<<'\n'; repeat(i,(f.n)) { repeat(j,f.m) o<(m,m+w)) #define FMTR(b,e) (MyRangeFormat(b,e)) #define FMTV(v) FMTR(v.begin(),v.end()) #define FMTM(m,h,w) (MyMatrixFormat(m,h,w)) #if defined(_WIN32) || defined(_WIN64) #define getc_x _getc_nolock #define putc_x _putc_nolock #elif defined(__GNUC__) #define getc_x getc_unlocked #define putc_x putc_unlocked #else #define getc_x getc #define putc_x putc #endif class MaiScanner { FILE* fp_; constexpr bool isvisiblechar(char c) noexcept { return (0x21<=(c)&&(c)<=0x7E); } public: inline MaiScanner(FILE* fp):fp_(fp){} template void input_integer(T& var) noexcept { var = 0; T sign = 1; int cc = getc_x(fp_); for (; cc < '0' || '9' < cc; cc = getc_x(fp_)) if (cc == '-') sign = -1; for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_)) var = (var << 3) + (var << 1) + cc - '0'; var = var * sign; } inline int c() noexcept { return getc_x(fp_); } template::value, nullptr_t>::type = nullptr> inline MaiScanner& operator>>(T& var) noexcept { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getc_x(fp_); for (; !isvisiblechar(cc); cc = getc_x(fp_)); for (; isvisiblechar(cc); cc = getc_x(fp_)) var.push_back(cc); return *this; } template inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { FILE* fp_; public: inline MaiPrinter(FILE* fp):fp_(fp){} template void output_integer(T var) noexcept { if (var == 0) { putc_x('0', fp_); return; } if (var < 0) putc_x('-', fp_), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putc_x(stack[--stack_p], fp_); } inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; } template::value, nullptr_t>::type = nullptr> inline MaiPrinter& operator<<(T var) noexcept { output_integer(var); return *this; } inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; } inline MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putc_x(*p++, fp_); return *this; } template void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; } }; MaiScanner scanner(stdin); MaiPrinter printer(stdout); // 自作ライブラリがバグってて切れた // https://yukicoder.me/submissions/142141 // https://yukicoder.me/submissions/392683 //BEGIN CUT HERE struct SCC{ vector > G,R,T,C; vector vs,used,blg; SCC(){} SCC(int n):G(n),R(n),used(n),blg(n){} void add_edge(int u,int v){ G[u].emplace_back(v); R[v].emplace_back(u); } void dfs(int v){ used[v]=1; for(int u:G[v]) if(!used[u]) dfs(u); vs.emplace_back(v); } void rdfs(int v,int k){ used[v]=1; blg[v]=k; C[k].emplace_back(v); for(int u:R[v]) if(!used[u]) rdfs(u,k); } int build(){ int n=G.size(); for(int v=0;v=0;i--){ if(!used[vs[i]]){ T.emplace_back(); C.emplace_back(); rdfs(vs[i],k++); } } for(int v=0;v v <=> !v -> !u scc.add_edge(u,v); scc.add_edge(negate(v),negate(u)); } void add_or(int u,int v){ // u or v <=> !u -> v add_if(negate(u),v); } void add_nand(int u,int v){ // u nand v <=> u -> !v add_if(u,negate(v)); } void set_true(int v){ // v <=> !v -> v scc.add_edge(negate(v),v); } void set_false(int v){ // !v <=> v -> !v scc.add_edge(v,negate(v)); } vector build(){ scc.build(); vector res(n); for(int i=0;iscc[n+i]; } return res; } }; // int N; int S[505]; int T[505]; int U[505]; // inline int cv(int y, int x) noexcept { return y*N+x; } int main() { scanner >> N; scanner.in(S, S+N); scanner.in(T, T+N); scanner.in(U, U+N); TwoSat sat(N*N); repeat(i, N) { int s = S[i]-1; int t = T[i]-1; int u = U[i]; // int x = (u&1) ? -1 : 1; // int y = (u&2) ? -1 : 1; repeat(j, N) { // LOG << s << ' ' << j; // LOG << j << ' ' << t; // LOG << u; // sat.emplace(x*(cv(s,j)+1), y*(cv(j,t)+1)); int x = (cv(s,j)); int y = (cv(j,t)); if (u&1) x = sat.negate(x); if (u&2) y = sat.negate(y); sat.add_or(x, y); } } // vector result; // if (!sat.solve(result)) bye("-1"); auto res = sat.build(); if (res.empty()) bye("-1"); repeat(i, N) { repeat(j, N) { printer << (int)res[i*N+j] << ' '; } printer << '\n'; } // repeat(i, N) { // int s = S[i]-1; // int t = T[i]-1; // int u = U[i]; // int x = (u&1) ? -1 : 1; // int y = (u&2) ? -1 : 1; // repeat(j, N) { // LOG << res[cv(s,j)+1] + res[cv(j,t)+1] - u; // } // } return 0; }