結果

問題 No.1078 I love Matrix Construction
ユーザー mai
提出日時 2020-06-12 22:59:55
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 429 ms / 2,000 ms
コード長 7,960 bytes
コンパイル時間 3,923 ms
コンパイル使用メモリ 229,168 KB
最終ジャッジ日時 2025-01-11 02:54:18
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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ファイルパターン 結果
other AC * 22
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ソースコード

diff #
プレゼンテーションモードにする

#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<typename remove_reference<decltype(l)>::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<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; 
    return o; }
template<typename T> inline T& chmax(T& to, const T& val) { return to = max(to, val); }
template<typename T> 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<typename T, typename Random = decltype(randdev), typename enable_if<is_integral<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution<T>(l, h)(rand); }
template<typename T, typename Random = decltype(randdev), typename enable_if<is_floating_point<T>::value>::type* = nullptr>
inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution<T>(l, h)(rand); }
template <typename I>
struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} };
template<typename I>
static ostream& operator<<(ostream& o, const MyRangeFormat<I>& f) {
  o << "[ "; iterate(i,f.b,f.e) o<<*i<<' ';
  return o << ']';
}
template <typename I>
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<typename I>
static ostream& operator<<(ostream& o, const MyMatrixFormat<I>& f) {
  o<<'\n';
  repeat(i,(f.n)) {
    repeat(j,f.m) o<<f.p[i][j]<<' ';
    o<<'\n';
  }
  return o;
}
struct LOG_t { ~LOG_t() { cout << endl; } };
#define LOG (LOG_t(),cout<<'L'<<__LINE__<<": ")
#define FMTA(m,w) (MyRangeFormat<decltype(m+0)>(m,m+w))
#define FMTR(b,e) (MyRangeFormat<decltype(e)>(b,e))
#define FMTV(v) FMTR(v.begin(),v.end())
#define FMTM(m,h,w) (MyMatrixFormat<decltype(m+0)>(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<typename T> 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<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiScanner& operator>>(T& var) noexcept { input_integer<T>(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<typename IT> 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<typename T>
  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<typename T, typename enable_if<is_integral<T>::value, nullptr_t>::type = nullptr>
  inline MaiPrinter& operator<<(T var) noexcept { output_integer<T>(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<typename IT> 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<vector<int> > G,R,T,C;
  vector<int> 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<n;v++)
      if(!used[v]) dfs(v);
    fill(used.begin(),used.end(),0);
    int k=0;
    for(int i=n-1;i>=0;i--){
      if(!used[vs[i]]){
        T.emplace_back();
        C.emplace_back();
        rdfs(vs[i],k++);
      }
    }
    for(int v=0;v<n;v++)
      for(int u:G[v])
        if(blg[v]!=blg[u])
          T[blg[v]].push_back(blg[u]);
    for(int i=0;i<k;i++){
      sort(T[i].begin(),T[i].end());
      T[i].erase(unique(T[i].begin(),T[i].end()),T[i].end());
    }
    return k;
  }
  int operator[](int k) const{return blg[k];};
};
//END CUT HERE
//BEGIN CUT HERE
struct TwoSat{
  int n;
  SCC scc;
  TwoSat(int n):n(n),scc(n*2){}
  int negate(int v){return (n+v)%(n*2);}
  void add_if(int u,int v){
    // u -> 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<int> build(){
    scc.build();
    vector<int> res(n);
    for(int i=0;i<n;i++){
      if(scc[i]==scc[n+i]) return {};
      res[i]=scc[i]>scc[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<bool> 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;
}
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