#721146 (C++17) No.5004 Room Assignment

• 問題: No.5004 Room Assignment
• ユーザー: 👑 Nachia
• 提出日時: 2021-12-01 23:44:02
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 148 ms / 5,000 ms
• コード長: 4,645 bytes
• コンパイル時間: 1,049 ms
• 実行使用メモリ: 22,364 KB
• スコア: 139,935,047
• 平均クエリ数: 7643.83
• 最終ジャッジ日時: 2021-12-01 23:44:26
• 合計ジャッジ時間: 22,068 ms
• ジャッジサーバーID （参考情報）: judge15 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	130 ms; 21,792 KB
testcase_01	AC	129 ms; 22,020 KB
testcase_02	AC	139 ms; 22,140 KB
testcase_03	AC	137 ms; 21,780 KB
testcase_04	AC	132 ms; 21,896 KB
testcase_05	AC	132 ms; 21,792 KB
testcase_06	AC	130 ms; 21,912 KB
testcase_07	AC	130 ms; 22,104 KB
testcase_08	AC	131 ms; 21,900 KB
testcase_09	AC	132 ms; 21,936 KB
testcase_10	AC	133 ms; 21,960 KB
testcase_11	AC	146 ms; 21,792 KB
testcase_12	AC	130 ms; 22,152 KB
testcase_13	AC	129 ms; 22,032 KB
testcase_14	AC	129 ms; 22,044 KB
testcase_15	AC	131 ms; 21,936 KB
testcase_16	AC	130 ms; 22,224 KB
testcase_17	AC	137 ms; 22,364 KB
testcase_18	AC	130 ms; 21,948 KB
testcase_19	AC	130 ms; 22,104 KB
testcase_20	AC	140 ms; 21,936 KB
testcase_21	AC	145 ms; 21,960 KB
testcase_22	AC	130 ms; 21,792 KB
testcase_23	AC	129 ms; 22,344 KB
testcase_24	AC	135 ms; 21,960 KB
testcase_25	AC	131 ms; 21,792 KB
testcase_26	AC	130 ms; 21,780 KB
testcase_27	AC	133 ms; 22,152 KB
testcase_28	AC	131 ms; 22,212 KB
testcase_29	AC	139 ms; 21,900 KB
testcase_30	AC	145 ms; 21,960 KB
testcase_31	AC	131 ms; 21,956 KB
testcase_32	AC	130 ms; 22,020 KB
testcase_33	AC	131 ms; 21,900 KB
testcase_34	AC	130 ms; 21,948 KB
testcase_35	AC	130 ms; 21,960 KB
testcase_36	AC	129 ms; 21,936 KB
testcase_37	AC	130 ms; 21,776 KB
testcase_38	AC	129 ms; 21,816 KB
testcase_39	AC	148 ms; 21,792 KB
testcase_40	AC	130 ms; 21,612 KB
testcase_41	AC	131 ms; 21,960 KB
testcase_42	AC	132 ms; 21,936 KB
testcase_43	AC	130 ms; 21,780 KB
testcase_44	AC	132 ms; 22,044 KB
testcase_45	AC	136 ms; 22,104 KB
testcase_46	AC	130 ms; 22,152 KB
testcase_47	AC	131 ms; 21,948 KB
testcase_48	AC	145 ms; 21,936 KB
testcase_49	AC	139 ms; 22,032 KB
testcase_50	AC	133 ms; 21,912 KB
testcase_51	AC	132 ms; 21,984 KB
testcase_52	AC	131 ms; 21,984 KB
testcase_53	AC	132 ms; 22,080 KB
testcase_54	AC	131 ms; 22,092 KB
testcase_55	AC	132 ms; 22,020 KB
testcase_56	AC	133 ms; 21,624 KB
testcase_57	AC	140 ms; 21,780 KB
testcase_58	AC	138 ms; 21,936 KB
testcase_59	AC	130 ms; 22,200 KB
testcase_60	AC	130 ms; 21,972 KB
testcase_61	AC	131 ms; 21,780 KB
testcase_62	AC	130 ms; 21,912 KB
testcase_63	AC	131 ms; 22,116 KB
testcase_64	AC	131 ms; 21,900 KB
testcase_65	AC	129 ms; 21,792 KB
testcase_66	AC	133 ms; 21,936 KB
testcase_67	AC	139 ms; 22,104 KB
testcase_68	AC	130 ms; 21,996 KB
testcase_69	AC	131 ms; 21,804 KB
testcase_70	AC	130 ms; 21,960 KB
testcase_71	AC	130 ms; 21,828 KB
testcase_72	AC	129 ms; 22,140 KB
testcase_73	AC	131 ms; 21,912 KB
testcase_74	AC	131 ms; 22,152 KB
testcase_75	AC	129 ms; 22,032 KB
testcase_76	AC	137 ms; 21,972 KB
testcase_77	AC	141 ms; 21,924 KB
testcase_78	AC	130 ms; 21,936 KB
testcase_79	AC	130 ms; 21,936 KB
testcase_80	AC	130 ms; 21,960 KB
testcase_81	AC	132 ms; 21,792 KB
testcase_82	AC	131 ms; 21,792 KB
testcase_83	AC	131 ms; 21,972 KB
testcase_84	AC	131 ms; 21,936 KB
testcase_85	AC	139 ms; 22,128 KB
testcase_86	AC	137 ms; 21,900 KB
testcase_87	AC	132 ms; 22,224 KB
testcase_88	AC	131 ms; 21,924 KB
testcase_89	AC	132 ms; 21,984 KB
testcase_90	AC	132 ms; 22,140 KB
testcase_91	AC	133 ms; 21,768 KB
testcase_92	AC	130 ms; 21,912 KB
testcase_93	AC	129 ms; 21,948 KB
testcase_94	AC	134 ms; 21,924 KB
testcase_95	AC	137 ms; 22,160 KB
testcase_96	AC	132 ms; 22,104 KB
testcase_97	AC	131 ms; 22,044 KB
testcase_98	AC	130 ms; 21,932 KB
testcase_99	AC	129 ms; 21,924 KB

ソースコード

#include <iostream>
#include <vector>
#include <algorithm>
#include <deque>
#include <cmath>
using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
#define rep(i,n) for(int i=0; i<(n); i++)


vector<int> player_skills;
vector<int> player_times;

double enter_count_sum;


struct Room{
    int id;
    vector<int> players;
    int value_e;

    Room(int player_id){
        id = player_id;
        players = { id };
        value_e = 0;
    }

    int get_num_players() const { return players.size(); }

    pair<int,int> merge_in(Room another, int tick){
        value_e += another.value_e;
        for(int l : players) for(int r : another.players){
            value_e += tick - player_times[l];
            value_e += tick - player_times[r];
        }
        for(int r : another.players) players.push_back(r);
        return { id, another.id };
    }

    double receive_score(int player_id, int tick){
        double skill = player_skills[player_id];
        
        int min_skill = 100;
        int max_skill = 0;
        int min_tick = 1001001;
        for(auto a : players){
            min_skill = min(min_skill, player_skills[a]);
            max_skill = max(max_skill, player_skills[a]);
            min_tick = min(min_tick, player_times[a]);
        }
        if(min_skill <= skill && skill <= max_skill) return 1.0e100;
        double mid_skill = (min_skill + max_skill) / 2.0;
        tick -= min_tick;

        // double w = 4.0;
        // double w = pow((mid_skill - 50.0) / 50.0, 2.0) * 2.0 + 3.2;
        // double w = (exp(abs(mid_skill - 50.0) / 50.0 * 0.1) - 1.0) * 2.0 + 3.0;
        // double w = (exp(pow(abs(mid_skill-50.0), 2.0) / 4500.0) - 1.0) * 2.0 + 3.75;
        double w = (exp(pow(abs(mid_skill-50.0), 2.0) / 4500.0) - 1.0) * 3.0 + 3.70;


        double margin_ticks = 30.0;
        double margin_w = 0.0;
        // if(tick >= margin_ticks) margin_w += (log(tick / margin_ticks)) * 1.0;
        // if(tick >= margin_ticks) margin_w += (log(tick / margin_ticks)) * 1.0;
        margin_w += 1.5 / (enter_count_sum + 0.1) - 1.0;
        if(tick >= margin_ticks) margin_w += (log(tick / margin_ticks)) * 1.0;
        margin_w *= 0.5;
        // if(tick >= margin_ticks) margin_w += (tick - margin_ticks) / 20;
        if(false){
            cerr << w;
            cerr << ", " << enter_count_sum;
            cerr << "\n";
        }
        w += margin_w;

        double l = min<double>(min_skill, max_skill - w);
        double r = max<double>(max_skill, min_skill + w);

        auto skill_dist = abs(mid_skill - skill) / 100.0;
        // return (l <= skill && skill <= r) ? (100.0 - skill_dist) : 0.0;
        return (l <= skill && skill <= r) ? (100.0 - skill_dist / w) : 0.0;
    }
};




int main(){

    const double enter_count_delay = 0.95;
    enter_count_sum = 10;

    vector<Room> rooms;

    int num_tick; cin >> num_tick;
    int max_room_size; cin >> max_room_size;

    int next_player_id = 1;
    player_skills.push_back(0);
    player_times.push_back(0);

    rep(tick_idx, num_tick){
        int num_enter; cin >> num_enter;
        vector<pair<int,int>> buf;

        enter_count_sum *= enter_count_delay;
        enter_count_sum += (1.0 - enter_count_delay) * num_enter;

        rep(enter_idx, num_enter){
            int enter_id = next_player_id++;
            int player_skill; cin >> player_skill;
            player_skills.push_back(player_skill);
            player_times.push_back(tick_idx);
            
            int to_enter = -1;
            double receive_score_max = 0.0;
            rep(room_arr_idx, rooms.size()){
                auto receive_score = rooms[room_arr_idx].receive_score(enter_id, tick_idx);
                if(receive_score > receive_score_max){
                    to_enter = room_arr_idx;
                    receive_score_max = receive_score;
                }
            }

            if(to_enter == -1){
                rooms.emplace_back(enter_id);
            }
            else{
                buf.push_back(rooms[to_enter].merge_in(Room(enter_id), tick_idx));
                if(rooms[to_enter].players.size() >= max_room_size){
                    swap(rooms[to_enter], rooms.back());
                    rooms.pop_back();
                }
            }
        }

        cout << buf.size() << "\n";
        for(auto a : buf){
            cout << a.first << " " << a.second << "\n";
        }
        cout << flush;
    }
    return 0;
}




struct ios_do_not_sync {
    ios_do_not_sync() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
    }
} ios_do_not_sync_instance;