結果

問題 No.5020 Averaging
ユーザー titan23titan23
提出日時 2024-02-25 17:10:52
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 993 ms / 1,000 ms
コード長 6,597 bytes
コンパイル時間 3,479 ms
コンパイル使用メモリ 230,980 KB
実行使用メモリ 6,676 KB
スコア 42,590,409
最終ジャッジ日時 2024-02-25 17:11:48
合計ジャッジ時間 55,939 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge10
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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 992 ms
6,676 KB
testcase_01 AC 992 ms
6,676 KB
testcase_02 AC 992 ms
6,676 KB
testcase_03 AC 993 ms
6,676 KB
testcase_04 AC 992 ms
6,676 KB
testcase_05 AC 992 ms
6,676 KB
testcase_06 AC 992 ms
6,676 KB
testcase_07 AC 991 ms
6,676 KB
testcase_08 AC 992 ms
6,676 KB
testcase_09 AC 992 ms
6,676 KB
testcase_10 AC 992 ms
6,676 KB
testcase_11 AC 992 ms
6,676 KB
testcase_12 AC 992 ms
6,676 KB
testcase_13 AC 992 ms
6,676 KB
testcase_14 AC 992 ms
6,676 KB
testcase_15 AC 992 ms
6,676 KB
testcase_16 AC 992 ms
6,676 KB
testcase_17 AC 992 ms
6,676 KB
testcase_18 AC 991 ms
6,676 KB
testcase_19 AC 992 ms
6,676 KB
testcase_20 AC 992 ms
6,676 KB
testcase_21 AC 991 ms
6,676 KB
testcase_22 AC 993 ms
6,676 KB
testcase_23 AC 993 ms
6,676 KB
testcase_24 AC 993 ms
6,676 KB
testcase_25 AC 992 ms
6,676 KB
testcase_26 AC 992 ms
6,676 KB
testcase_27 AC 992 ms
6,676 KB
testcase_28 AC 991 ms
6,676 KB
testcase_29 AC 992 ms
6,676 KB
testcase_30 AC 992 ms
6,676 KB
testcase_31 AC 992 ms
6,676 KB
testcase_32 AC 992 ms
6,676 KB
testcase_33 AC 992 ms
6,676 KB
testcase_34 AC 991 ms
6,676 KB
testcase_35 AC 992 ms
6,676 KB
testcase_36 AC 992 ms
6,676 KB
testcase_37 AC 992 ms
6,676 KB
testcase_38 AC 991 ms
6,676 KB
testcase_39 AC 992 ms
6,676 KB
testcase_40 AC 992 ms
6,676 KB
testcase_41 AC 992 ms
6,676 KB
testcase_42 AC 992 ms
6,676 KB
testcase_43 AC 992 ms
6,676 KB
testcase_44 AC 992 ms
6,676 KB
testcase_45 AC 992 ms
6,676 KB
testcase_46 AC 992 ms
6,676 KB
testcase_47 AC 992 ms
6,676 KB
testcase_48 AC 991 ms
6,676 KB
testcase_49 AC 992 ms
6,676 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 target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>
#include <chrono>
using namespace std;

// #include <atcoder/all>
// using namespace atcoder;

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define ll long long
#define double float
static constexpr ll INF = 2e18;

const double TIME_LIMIT = 990;
const long long VAL = 5e17;
const int OP_SIZE = 50;

const long long N = 45;
long long A[N];
long long B[N];

template<typename T>
T abs(const T &a, const T &b) { return a<b? b-a: a-b; }

template<typename T, typename S>
T max(const T &a, const S &b) { return a<b? b: a; }

template<typename T, typename S>
T min(const T &a, const S &b) { return a<b? a: b; }

// print
namespace titan23 {

  // pair<K, V>
  template <typename K, typename V>
  ostream& operator<<(ostream& os, const pair<K, V>& p) {
    os << "(" << p.first << ", " << p.second << ")";
    return os;
  }

  // vector<T>
  template <typename T>
  ostream& operator<<(ostream& os, const vector<T>& a) {
    int n = (int)a.size();
    os << "[";
    for (int i = 0; i < n-1; ++i) {
      os << a[i] << ", ";
    }
    if (n > 0) {
      os << a.back();
    }
    os << "]";
    return os;
  }
} // namespace titan23

using namespace titan23;

// Random
namespace titan23 {

  struct Random {
    unsigned int _x, _y, _z, _w;

    Random() {
      _x = 123456789;
      _y = 362436069;
      _z = 521288629;
      _w = 88675123;
    }

    unsigned int _xor128() {
      unsigned int t = _x ^ (_x << 11);
      _x = _y;
      _y = _z;
      _z = _w;
      _w = (_w ^ (_w >> 19)) ^ (t ^ (t >> 8));
      return _w;
    }

    double random() {
      return (double)(_xor128()) / 0xFFFFFFFF;
    }

    int randint(int begin, int end) {
      return begin + _xor128() % (end - begin + 1);
    }

    int randrange(int begin, int end) {
      return begin + _xor128() % (end - begin);
    }
  };
} // namespace titan23

titan23::Random myrandom;

// Timer
namespace titan23 {
  class Timer {
  public:
    Timer() : start_timepoint(std::chrono::high_resolution_clock::now()) {}

    void reset() {
      start_timepoint = std::chrono::high_resolution_clock::now();
    }

    double elapsed() {
      auto end_timepoint = std::chrono::high_resolution_clock::now();
      auto start = std::chrono::time_point_cast<std::chrono::microseconds>(start_timepoint).time_since_epoch().count();
      auto end = std::chrono::time_point_cast<std::chrono::microseconds>(end_timepoint).time_since_epoch().count();
      return (end - start) * 0.001; // ミリ秒単位で経過時間を返す
    }

  private:
    std::chrono::time_point<std::chrono::high_resolution_clock> start_timepoint;
  };
}

// SA 最小化
namespace titan23 {

namespace sa {

  titan23::Random sa_random;

  struct Changed {
    double pre_score;
    int type;
    int indx;
    pair<int, int> uv;
    int indx1, indx2;
    Changed() {}
    Changed(double score) : pre_score(score) {}
  };

  struct State {
    double score;
    vector<pair<int, int>> op;

    State() : score(0.0) {}

    void calc_score() {
      ll a[N], b[N];
      memcpy(a, A, N * sizeof(ll));
      memcpy(b, B, N * sizeof(ll));
      for (const auto &[u, v]: op) {
        a[u] = a[v] = (a[u]+a[v])/2;
        b[u] = b[v] = (b[u]+b[v])/2;
      }
      score = log(max(abs(VAL-a[0]), abs(VAL-b[0])));
    }

    double get_score() { return score; }

    Changed modify() {
      Changed changed(score);
      double prob = myrandom.random();
      if (prob < 0.4) {
        changed.type = 0;
        int indx1 = myrandom.randrange(0, op.size());
        int indx2 = myrandom.randrange(0, op.size());
        swap(op[indx1], op[indx2]);
        changed.indx1 = indx1;
        changed.indx2 = indx2;
      } else {
        changed.type = 1;
        int indx = myrandom.randrange(0, op.size());
        auto [pre_u, pre_v] = op[indx];
        int v = myrandom.randrange(1, N);
        while (v == pre_v) v = myrandom.randrange(1, N);
        changed.indx = indx;
        changed.uv = op[indx];
        pair<int, int> uv = {0, v};
        op[indx] = uv;
      }
      calc_score();
      return changed;
    }

    void rollback(Changed &changed) {
      if (changed.type == 0) {
        swap(op[changed.indx1], op[changed.indx2]);
      } else if (changed.type == 1) {
        op[changed.indx] = changed.uv;
      }
      score = changed.pre_score;
    }
  };

  // TIME_LIMIT: ms
  State run(const double TIME_LIMIT) {
    titan23::Timer sa_timer;

    double START_TEMP = 10;
    double END_TEMP   = 0.1;
    double TEMP_VAL = (START_TEMP - END_TEMP) / TIME_LIMIT;

    auto make_ans_init = [&] () -> State {
      State state;
      ll a[N], b[N];
      memcpy(a, A, N * sizeof(ll));
      memcpy(b, B, N * sizeof(ll));
      rep(op_indx, 50) {
        int u = myrandom.randrange(1, N);
        state.op.emplace_back(0, u);
      }
      state.calc_score();
      return state;
    };

    State ans = make_ans_init();
    State best_ans = ans;
    double score = ans.get_score();
    double best_score = score;

    int cnt = 0;
    while (true) {
      double now_time = sa_timer.elapsed();
      if (now_time > TIME_LIMIT) break;
      ++cnt;
      Changed changed = ans.modify();
      double new_score = ans.get_score();
      double arg = score - new_score;
      // if (arg < 0) cerr << arg << ' ' << exp(arg/(START_TEMP-TEMP_VAL*now_time)) << endl;
      if (arg >= 0 || exp(arg/(START_TEMP-TEMP_VAL*now_time)) > sa_random.random()) {
        score = new_score;
        if (score < best_score) {
          best_score = score;
          cerr << best_score << endl;
          best_ans = ans;
        }
      } else {
        ans.rollback(changed);
      }
    }
    cerr << "cnt=" << cnt << endl;

    {
      ll a[N], b[N];
      rep(i, N) {
        a[i] = A[i];
        b[i] = B[i];
      }
      for (auto &[u, v]: best_ans.op) {
        ll x = (a[u]+a[v])/2;
        a[u] = x;
        a[v] = x;
        ll y = (b[u]+b[v])/2;
        b[u] = y;
        b[v] = y;
      }
      ll v1 = abs(VAL - a[0]);
      ll v2 = abs(VAL - b[0]);
      ll s = 2000000 - 100000*log10(max(v1, v2)+1);
      cerr << "score = " << s*50 / 1e8 << endl;
    }
    return best_ans;
  }
}
}  // namespace titan23

using namespace titan23;

void solve() {
  int n_;
  cin >> n_;
  rep(i, N) cin >> A[i] >> B[i];

  sa::State ans = sa::run(TIME_LIMIT);

  cout << ans.op.size() << endl;
  for (auto &[u, v]: ans.op) {
    cout << u+1 << ' ' << v+1 << endl;
  }
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  solve();
  return 0;
}
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