結果

問題 No.1652 XOR Inequalities
ユーザー ir5ir5
提出日時 2024-06-23 21:53:59
言語 C++23(gcc13)
(gcc 13.2.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 5,487 bytes
コンパイル時間 3,198 ms
コンパイル使用メモリ 146,644 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-06-23 21:54:13
合計ジャッジ時間 8,870 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
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
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 WA -
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 WA -
testcase_12 AC 2 ms
6,940 KB
testcase_13 WA -
testcase_14 AC 5 ms
6,940 KB
testcase_15 AC 6 ms
6,940 KB
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 WA -
testcase_20 AC 6 ms
6,944 KB
testcase_21 WA -
testcase_22 WA -
testcase_23 AC 6 ms
6,940 KB
testcase_24 WA -
testcase_25 AC 6 ms
6,944 KB
testcase_26 WA -
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 AC 7 ms
6,940 KB
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 WA -
testcase_35 AC 5 ms
6,940 KB
testcase_36 WA -
testcase_37 WA -
testcase_38 WA -
testcase_39 WA -
testcase_40 AC 6 ms
6,940 KB
testcase_41 WA -
testcase_42 WA -
testcase_43 AC 3 ms
6,944 KB
testcase_44 AC 3 ms
6,944 KB
testcase_45 AC 2 ms
6,944 KB
testcase_46 AC 3 ms
6,940 KB
testcase_47 AC 3 ms
6,940 KB
testcase_48 AC 3 ms
6,944 KB
testcase_49 AC 2 ms
6,944 KB
testcase_50 AC 2 ms
6,940 KB
testcase_51 AC 2 ms
6,940 KB
testcase_52 AC 2 ms
6,948 KB
testcase_53 WA -
testcase_54 AC 7 ms
6,944 KB
testcase_55 WA -
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 #

#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] = max(0, 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[k] && sb[k] < (sb[i] ^ sb[j])) {
          sb[k] ^= 1;
          upd = 1;
        }
      }
    }

    for (int i : range(N)) if (unknown[i]) A[i] ^= (sb[i] & 1) << pos;
  }

  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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