#990585 (C++23(gcc13)) No.1652 XOR Inequalities

提出ソース

結果

問題	No.1652 XOR Inequalities
ユーザー	ir5
提出日時	2024-06-23 22:04:20
言語	C++23(gcc13) (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	5 ms / 2,000 ms
コード長	5,578 bytes
コンパイル時間	3,036 ms
コンパイル使用メモリ	148,052 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-23 22:04:27
合計ジャッジ時間	6,057 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

このコードへのチャレンジ
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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	2 ms 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	3 ms 6,944 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	3 ms 6,944 KB
testcase_14	AC	3 ms 6,940 KB
testcase_15	AC	4 ms 6,940 KB
testcase_16	AC	3 ms 6,940 KB
testcase_17	AC	3 ms 6,944 KB
testcase_18	AC	3 ms 6,944 KB
testcase_19	AC	3 ms 6,940 KB
testcase_20	AC	5 ms 6,944 KB
testcase_21	AC	3 ms 6,944 KB
testcase_22	AC	3 ms 6,940 KB
testcase_23	AC	3 ms 6,940 KB
testcase_24	AC	3 ms 6,940 KB
testcase_25	AC	4 ms 6,944 KB
testcase_26	AC	4 ms 6,940 KB
testcase_27	AC	4 ms 6,944 KB
testcase_28	AC	3 ms 6,940 KB
testcase_29	AC	3 ms 6,940 KB
testcase_30	AC	4 ms 6,944 KB
testcase_31	AC	4 ms 6,944 KB
testcase_32	AC	2 ms 6,940 KB
testcase_33	AC	3 ms 6,940 KB
testcase_34	AC	4 ms 6,940 KB
testcase_35	AC	3 ms 6,944 KB
testcase_36	AC	4 ms 6,940 KB
testcase_37	AC	3 ms 6,940 KB
testcase_38	AC	4 ms 6,940 KB
testcase_39	AC	3 ms 6,944 KB
testcase_40	AC	3 ms 6,940 KB
testcase_41	AC	5 ms 6,944 KB
testcase_42	AC	4 ms 6,940 KB
testcase_43	AC	3 ms 6,940 KB
testcase_44	AC	3 ms 6,940 KB
testcase_45	AC	2 ms 6,940 KB
testcase_46	AC	3 ms 6,940 KB
testcase_47	AC	4 ms 6,940 KB
testcase_48	AC	2 ms 6,940 KB
testcase_49	AC	2 ms 6,944 KB
testcase_50	AC	2 ms 6,940 KB
testcase_51	AC	2 ms 6,944 KB
testcase_52	AC	2 ms 6,940 KB
testcase_53	AC	4 ms 6,944 KB
testcase_54	AC	3 ms 6,940 KB
testcase_55	AC	4 ms 6,940 KB

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ソースコード

raw source code

#include <algorithm>
#include <cassert>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <iostream>
#include <numeric>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <functional>
#include <iomanip>
#include <bitset>
using namespace std;
using ll = long long;

class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x<lhs.x;}void operator++(){++x;}};I i,n;
public:range(int n_):i({0}),n({n_}){}range(int i_,int n_):i({i_}),n({n_}){}I& begin(){return i;}I& end(){return n;}};

template<typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p){ return os << "{" << p.first << ", " << p.second << "}"; }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T> ostream& operator<<(ostream& os, const set<T>& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; }
template<typename T> void take(vector<T>& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; }

#ifdef ONLINE_JUDGE
#define dump(expr) ;
#else
#define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; }
#endif

namespace solver {

template<typename T1, typename T2> struct In2 {
  T1 a; T2 b;
  friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; }
};

template<typename T1, typename T2, typename T3> struct In3 {
  T1 a; T2 b; T3 c;
  friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; }
};

int n;
vector<int> as;

void read() {
  cin >> n;
  take(as, 1 << n);
}

int at(int i, int pos) { return (as[i] >> pos) & 1; }

using RetType = void;

RetType run1() {
  int N = 1 << n;

  vector<int> ones(N, 30);

  for (bool upd = 1; upd; ) {
    upd = 0;
    dump(upd)
    for (int i : range(1, N))
    for (int j : range(1, N)) if (i != j) {
      int k = i ^ j;
      if (as[i] != -1 && as[j] != -1 && as[k] != -1 && as[k] < (as[i] ^ as[j])) {
        cout << "No" << endl;
        return;
      }

      // propagate
      if (as[k] != -1) continue;

      int zeroi = 0, zeroj = 0;
      int pos = ones[k] - 1;

      if (pos < 0) continue;

      if (as[i] != -1 && !at(i, pos)) zeroi = 1;
      if (as[i] == -1 && ones[i] <= pos) zeroi = 1;

      if (as[j] != -1 && !at(j, pos)) zeroj = 1;
      if (as[j] == -1 && ones[j] <= pos) zeroj = 1;

      if (i == 4 && j == 3) {
        dump(zeroi << " " << zeroj)
      }

      if (zeroi && zeroj && as[k] == -1) {
        ones[k]--;
        upd = 1;
      }
    }
  }

  vector<int> res(N);
  ones[0] = 0;
  for (int i : range(N)) {
    if (as[i] == -1) {
      res[i] = (1 << ones[i]) - 1;
    }
    else res[i] = as[i];
  }
  dump(res);

  for (int i : range(N)) if (res[i] < (res[0] ^ res[i])) {
    cout << "No" << endl;
    return;
  }

  for (int i : range(1, N))
  for (int j : range(1, N)) if (i != j) {
    int k = i ^ j;
    if (res[k] < (res[i] ^ res[j])) {
      dump("FAIL");
      using B = bitset<30>;
      dump(k << " " << i << " " << j)
      dump(B(res[k]).to_string() << " " << B(res[i]).to_string() << " " << B(res[j]).to_string());
      assert(0);
    }
  }

  cout << "Yes" << endl;
  for (int i : range(N)) cout << res[i] << " ";
  cout << endl;
}

RetType run2() {
  int N = 1 << n;

  vector<int> A(as);
  for (int i : range(N)) A[i] = max(0, A[i]);

  for (bool upd = 1; upd; ) {
    upd = 0;
    for (int i : range(N))
    for (int j : range(N)) if (i != j) {
      int k = i ^ j;
      if (as[k] == -1 && A[k] < (A[i] ^ A[j])) {
        A[k] = (A[i] ^ A[j]);
        upd = 1;
      }
    }
  }

  for (int i : range(N))
  for (int j : range(N)) {
    int k = i ^ j;
    if (A[k] < (A[i] ^ A[j])) {
      cout << "No" << endl;
      return;
    }
  }

  cout << "Yes" << endl;
  for (int i : range(N)) cout << A[i] << " ";
  cout << endl;
}

RetType run() {
  int N = 1 << n;

  vector<int> A(N);
  vector<int> unknown(N);
  for (int i : range(N)) {
    A[i] = as[i] == -1 ? ((1 << 30) - 1) : as[i];
    unknown[i] = as[i] == -1;
  }

  for (int pos = 29; pos >= 0; --pos) {
    vector<int> sb(N);
    for (int i : range(N)) sb[i] = A[i] >> pos;

    for (bool upd = 1; upd; ) {
      upd = 0;
      for (int i : range(N))
      for (int j : range(N)) if (i != j) {
        int k = i ^ j;
        if (unknown[i] && sb[k] < (sb[i] ^ sb[j])) {
          if (sb[i] & 1) {
            sb[i] ^= 1;
            A[i] ^= 1 << pos;
            upd = 1;
          }
        }
      }
    }
    vector<int> d(sb);
    for (auto& e : d) e &= 1;
    dump(d);
  }

  dump(A);

  for (int i : range(N))
  for (int j : range(N)) if (i != j) {
    int k = i ^ j;
    if (A[k] < (A[i] ^ A[j])) {
      cout << "No" << endl;
      return;
    }
  }

  cout << "Yes" << endl;
  for (int i : range(N)) cout << A[i] << " ";
  cout << endl;
}

}  // namespace

template <typename F>
void run(F f) { if constexpr (std::is_same_v<decltype(f()), void>) f(); else cout << f() << endl; }

int main(int argc, char** argv) {
  cerr << fixed << setprecision(12);
  cout << fixed << setprecision(12);
  int testcase = 1;
  if (argc > 1) testcase = atoi(argv[1]);
  while (testcase--) {
    solver::read();
  }
  run(solver::run);
}

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結果

テストケース

ソースコード