結果

問題 No.1078 I love Matrix Construction
ユーザー maimai
提出日時 2020-06-28 18:34:48
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 119 ms / 2,000 ms
コード長 7,696 bytes
コンパイル時間 2,555 ms
コンパイル使用メモリ 222,784 KB
実行使用メモリ 48,880 KB
最終ジャッジ日時 2024-07-07 23:55:37
合計ジャッジ時間 5,598 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
6,812 KB
testcase_01 AC 1 ms
6,816 KB
testcase_02 AC 14 ms
10,240 KB
testcase_03 AC 33 ms
20,412 KB
testcase_04 AC 47 ms
27,064 KB
testcase_05 AC 45 ms
23,012 KB
testcase_06 AC 13 ms
9,856 KB
testcase_07 AC 6 ms
6,940 KB
testcase_08 AC 39 ms
23,348 KB
testcase_09 AC 4 ms
6,940 KB
testcase_10 AC 119 ms
48,880 KB
testcase_11 AC 56 ms
28,468 KB
testcase_12 AC 85 ms
40,728 KB
testcase_13 AC 103 ms
45,460 KB
testcase_14 AC 65 ms
32,428 KB
testcase_15 AC 99 ms
43,344 KB
testcase_16 AC 6 ms
6,940 KB
testcase_17 AC 2 ms
6,944 KB
testcase_18 AC 10 ms
8,320 KB
testcase_19 AC 22 ms
14,424 KB
testcase_20 AC 20 ms
14,040 KB
testcase_21 AC 3 ms
6,944 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#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);

class DGraph {
 public:
  int n;
  vector<vector<int>> vertex_to;
  vector<vector<int>> vertex_from;

  explicit DGraph(int n = 1) : n(n), vertex_to(n), vertex_from(n) {}

  inline int size() const { return n; }
  void resize(int _n) {
    n = _n;
    vertex_to.resize(_n);
    vertex_from.resize(_n);
  }
  void connect(int from, int to) {
    vertex_to[(int)from].emplace_back(to);
    vertex_from[(int)to].emplace_back(from);
  }
};

class Sat2 {
 public:
  int n;
  DGraph graph;

  Sat2(int n) : n(n), graph(n * 2) {}

 private:
  inline int _cv(int v) { return 0 < v ? (v - 1) * 2 : (-v - 1) * 2 + 1; }

  vector<int> label_, postorder_;

  void solveScc_dfs1(int v) {
    if (label_[v] < 0)
      return;
    label_[v] = -1;
    for (int to : graph.vertex_to[v])
      solveScc_dfs1(to);
    postorder_.push_back(v);
  }

  void solveScc_dfs2(int v, int rank) {
    if (label_[v] > 0)
      return;
    label_[v] = rank;
    for (int to : graph.vertex_from[v])
      solveScc_dfs2(to, rank);
  }

 public:
  // 1 <= a <= n OR -1 >= a >= -n
  // 正ならばx_a，負ならばNOT x_aを表現．
  inline void push(int a, int b) {
    assert(a!=0 && b!=0);
    graph.connect(_cv(-a), _cv(b));
    graph.connect(_cv(-b), _cv(a));
  }

  vector<int> solve() {
    label_.resize(graph.n);
    postorder_.reserve(graph.n);

    for (int i = 0; i < graph.n; ++i)
      solveScc_dfs1(i);
    for (int i = (int)postorder_.size() - 1; 0 <= i; --i)
      solveScc_dfs2(postorder_[i], i + 1);

    vector<int> result(n);
    for (int i = 0; i < n; ++i) {
      if (label_[i * 2] == label_[i * 2 + 1])
        return {};
      result[i] = (label_[i * 2] < label_[i * 2 + 1]);
    }
    return result;
  }
};

//

int N;
int S[505];
int T[505];
int U[505];

//


inline int cv(int y, int x) noexcept {
  return y*N+x;
}

// https://yukicoder.me/submissions/496115
int main() {
  scanner >> N;
  scanner.in(S, S+N);
  scanner.in(T, T+N);
  scanner.in(U, U+N);
  
  Sat2 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)+1);
      int y = (cv(j,t)+1);
      if (u&1) x = -x;
      if (u&2) y = -y;
      sat.push(x, y);
    }
  }
  // vector<bool> result;
  // if (!sat.solve(result)) bye("-1");
  
  auto res = sat.solve();
  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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