Submission #864963

# Submission time Handle Problem Language Result Execution time Memory
864963 2023-10-23T19:34:06 Z danikoynov New Home (APIO18_new_home) C++14
10 / 100
4364 ms 977804 KB
    #include<bits/stdc++.h>
    #define endl '\n'
        
    using namespace std;
    typedef long long ll;
        
    const int maxn = 6e5 + 10, inf = 1e9;
        
    struct store
    {
        int x, t, a, b;
    }s[maxn];
        
    struct query
    {
        int l, y, idx;
    }task[maxn];
        
    int n, k, q;
    int readInt () {
        bool minus = false;
        int result = 0;
        char ch;
        ch = getchar();
        while (true) {
            if (ch == '-') break;
            if (ch >= '0' && ch <= '9') break;
            ch = getchar();
        }
        if (ch == '-') minus = true; else result = ch-'0';
        while (true) {
            ch = getchar();
            if (ch < '0' || ch > '9') break;
            result = result*10 + (ch - '0');
        }
        if (minus)
            return -result;
        else
            return result;
    }
    void input()
    {
        n = readInt();
        k = readInt();
        q = readInt();
        ///cin >> n >> k >> q;
        for (int i = 1; i <= n; i ++)
        {
            s[i].x = readInt();
            s[i].t = readInt();
            s[i].a = readInt();
            s[i].b = readInt();
            ///        cin >> s[i].x >> s[i].t >> s[i].a >> s[i].b;
        }
        
        for (int i = 1; i <= q; i ++)
        {
                task[i].l = readInt();
                task[i].y = readInt();
                task[i].idx = i;
            ///cin >> task[i].l >> task[i].y, task[i].idx = i;
        }
    }
        
    unordered_map < int, int > rev;
    int dif, back_to[2 * maxn];
        
     
     
        
    bool cmp_query(query &t1, query &t2)
    {
        return t1.l < t2.l;
    }
        
    struct event
    {
        int type, cor, add, arrive;
        
        event(int _type, int _cor, int _add, int _arrive)
        {
            type = _type;
            cor = _cor;
            add = _add;
            arrive = _arrive;
        }
    };
        
    bool cmp_event(event &e1, event &e2)
    {
        if (e1.arrive != e2.arrive)
            return e1.arrive < e2.arrive;
        
        if (e1.add != e2.add)
            return e1.add < e2.add;
        
        return e1.cor < e2.cor; /// could have dublicates
    }
        
     
        
    multiset < int > act[maxn];
        
    struct interval_ray
    {
        int s, e;
        pair < int, int > ray;
        
        interval_ray(int _s, int _e, pair < int, int > _ray)
        {
            s = _s;
            e = _e;
            ray = _ray;
        }
     
        interval_ray(int &_s, int &_e, pair < int, int > &_ray)
        {
            s = _s;
            e = _e;
            ray = _ray;
        }
    };
     
    vector < interval_ray > seg_left, seg_right;
        struct hash_pair {
        template <class T1, class T2>
        long long operator()(const pair<T1, T2>& p) const
        {
            auto hash1 = hash<T1>{}(p.first);
            auto hash2 = hash<T2>{}(p.second);
            return (hash1 << 16) + hash2;             
        }
    };
     
    unordered_map < int, int > ray_right[maxn], ray_left[maxn];
    vector < int > dat;
    void make_left_segment(int start, int finish, int timer, int type)
    {
        ///cout << "left " << start << " " << finish << " " << timer << endl;
        seg_left.push_back(interval_ray(ray_left[type][start], timer - 1, {start, finish}));
        ray_left[type][start] = 0;
    }
        
    void make_right_segment(int start, int finish, int timer, int type)
    {
        seg_right.push_back(interval_ray(ray_right[type][start], timer - 1, {start, finish}));
        ray_right[type][start] = 0;
    }
        
    void add_event(int type, int cor, int timer)
    {
        multiset < int > :: iterator it = act[type].upper_bound(cor);
        int aft = *it;
        int bef = *prev(it);
        
        if (bef == -inf && aft == inf)
        {
            
            make_right_segment(-inf, inf, timer, type);
            ray_left[type][cor] = timer;
            ray_right[type][cor] = timer;
        }
        else
        if (bef == - inf)
        {
            make_left_segment(aft, -inf, timer, type);
            int mid = (cor + aft) / 2;
            ray_right[type][cor] = timer;
            ray_left[type][aft] = timer;
            ray_left[type][cor] = timer;
        }
        else
        if (aft == inf)
        {
            make_right_segment(bef, inf, timer, type);
            int mid = (bef + cor) / 2;
            ray_left[type][cor] = timer;
            ray_right[type][bef] = timer;
            ray_right[type][cor] = timer;
        }
        else
        {
            int mid = (bef + aft) / 2;
            make_right_segment(bef, mid, timer, type);
            make_left_segment(aft, mid + 1, timer, type);
            int mid_left = (bef + cor) / 2;
            assert(ray_right[type][bef] == 0);
            assert(ray_left[type][cor] == 0);
            ray_right[type][bef] = timer;
            ray_left[type][cor] = timer;
            int mid_right = (cor + aft) / 2;
            ray_right[type][cor] = timer;
            ray_left[type][aft] = timer;
        }
        
        act[type].insert(cor);
    }
        
        
    void remove_event(int type, int cor, int timer)
    {
        multiset < int > :: iterator it = act[type].find(cor);
        int aft = *next(it);
        int bef = *prev(it);
        
        if (bef == -inf && aft == inf)
        {
            ///cout << "reverse " << timer << endl;
        
            make_left_segment(cor, -inf, timer, type);
            make_right_segment(cor, +inf, timer, type);
            ray_right[type][-inf] = timer;
        
        }
        else
        if (bef == -inf)
        {
        
            ///cout << "step " << timer << endl;
            make_left_segment(cor, -inf, timer, type);
            int mid = (cor + aft) / 2;
            make_right_segment(cor, mid, timer, type);
            make_left_segment(aft, mid + 1, timer, type);
            ray_left[type][aft] = timer;
        
        
        }
        else
        if (aft == inf)
        {
        
            make_right_segment(cor, inf, timer, type);
            int mid = (bef + cor) / 2;
            make_left_segment(cor, mid + 1, timer, type);
            make_right_segment(bef, mid, timer, type);
            ray_right[type][bef] = timer;
        }
        else
        {
            int mid = (bef + aft) / 2;
            ///assert((ray_right[type][{bef, mid}]) == 0);
            ///assert((ray_left[type][{aft, mid + 1}]) == 0);
        
            int mid_left = (bef + cor) / 2;
            make_right_segment(bef, mid_left, timer, type);
            make_left_segment(cor, mid_left + 1, timer, type);
            int mid_right = (aft + cor) / 2;
            make_right_segment(cor, mid_right, timer, type);
            make_left_segment(aft, mid_right + 1, timer, type);
        
                    ray_right[type][bef] = timer;
            ray_left[type][aft] = timer;
        
        }
        
        act[type].erase(it);
    }
        
    int ans[maxn];
        
    vector < interval_ray > tree_left[maxn * 4], tree_right[maxn * 4];
    int pt_lf[4 * maxn], bs_lf[4 * maxn];
    int pt_rf[4 * maxn], bs_rf[4 * maxn];
        
    bool cmp_ray_second(interval_ray r1, interval_ray r2)
    {
        return r1.ray.second < r2.ray.second;
    }
    void update_range(int root, int left, int right, int qleft, int qright, interval_ray &ray, int type)
    {
        if (left > qright || right < qleft)
            return;
        
        if (left >= qleft && right <= qright)
        {
            if (type == -1)
                tree_left[root].push_back(ray);
            else
                tree_right[root].push_back(ray);
            return;
        }
        
        int mid = (left + right) / 2;
        update_range(root * 2, left, mid, qleft, qright, ray, type);
        update_range(root * 2 + 1, mid + 1, right, qleft, qright, ray, type);
        
    }
        
    unordered_map < int, int > event_times;
        
    void answer_queries()
    {
        sort(task + 1, task + q + 1, cmp_query);
        
        vector < event > events;
        for (int i = 1; i <= n; i ++)
        {
            events.push_back(event(s[i].t, s[i].x, 1, s[i].a));
            events.push_back(event(s[i].t, s[i].x, -1, s[i].b + 1));
        }
        
        sort(events.begin(), events.end(), cmp_event);
        
        for (int i = 1; i <= k; i ++)
        {
            act[i].insert(-inf);
            act[i].insert(inf);
            ray_right[i][-inf] = 1;
        }
        
        
        int cnt = 0;
        dat.push_back(1);
        dat.push_back(0);
        
        for (event cur : events)
        {
            ///dat.push_back(cur.arrive - 1);
            dat.push_back(cur.arrive);
            ///cout << "event " << cur.arrive << " " << cur.add << " " << cur.cor << " " << cur.type << endl;
            if (cur.add == 1)
                add_event(cur.type, cur.cor, cur.arrive);
            else
                remove_event(cur.type, cur.cor, cur.arrive);
        }
        
        dat.push_back(inf - 1);
        dat.push_back(inf);
        
        for (int i = 1; i <= q; i ++)
            dat.push_back(task[i].y);
        
        sort(dat.begin(), dat.end());
        cnt ++;
        event_times[dat[0]] = cnt;
        for (int i = 1; i < dat.size(); i ++)
        {
            if (dat[i] == dat[i - 1])
                continue;
            cnt ++;
            event_times[dat[i]] = cnt;
        }
        
        
        for (int i = 1; i <= k; i ++)
            for (auto it : ray_right[i])
            {
                ///cout << it -> first.first << " :: " << it -> first.second << " " << it -> second << endl;
                if (it.second != 0)
                    make_right_segment(it.first, inf, inf, i);
            }
        
        
        sort(seg_right.begin(), seg_right.end(), cmp_ray_second);
        sort(seg_left.begin(), seg_left.end(), cmp_ray_second);
        for (interval_ray cur : seg_left)
        {
            //assert(event_times[cur.e + 1] != 0);
            update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e + 1] - 1, cur, -1);
        ///    cout << "left ray " << cur.s << " " << cur.e << " " << cur.ray.first << " " << cur.ray.second << endl;
        }
        
        for (interval_ray cur : seg_right)
        {
            //assert(event_times[cur.e + 1] != 0);
            update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e + 1] - 1, cur, 1);
            ///cout << "right ray " << cur.s << " " << cur.e << " " << cur.ray.first << " " << cur.ray.second << endl;
        }
        
        
        for (int i = 1; i <= 4 * cnt; i ++)
        {
            pt_rf[i] = (int)(tree_right[i].size()) - 1;
            bs_rf[i] = inf;
        
            pt_lf[i] = 0;
            bs_lf[i] = -inf;
            ///sort(tree_right[i].begin(), tree_right[i].end(), cmp_ray_second);
            ///sort(tree_left[i].begin(), tree_left[i].end(), cmp_ray_second);
        }
        
        for (int i = q; i > 0; i --)
        {
            int longest = 0;
            int pos = event_times[task[i].y];
            int root = 1, left = 1, right = cnt;
        
            while(true)
            {
        
                while(pt_rf[root] >= 0 && task[i].l <= tree_right[root][pt_rf[root]].ray.second)
                {
                    bs_rf[root] = min(bs_rf[root], tree_right[root][pt_rf[root]].ray.first);
                    pt_rf[root] --;
                }
                longest = max(longest, task[i].l - bs_rf[root]);
        
        
                if (left == right)
                    break;
        
                int mid = (left + right) / 2;
                if (pos <= mid)
                {
                    root *= 2;
                    right = mid;
                }
                else
                {
                    root = root * 2 + 1;
                    left = mid + 1;
                }
            }
        
            ans[task[i].idx] = max(ans[task[i].idx], longest);
        }
        
        for (int i = 1; i <= q; i ++)
        {
            int longest = 0;
            int pos = event_times[task[i].y];
            int root = 1, left = 1, right = cnt;
            while(true)
            {
                ///cout << "step " << root << " " << left << " " << right << endl;
                while(pt_lf[root] < tree_left[root].size() && tree_left[root][pt_lf[root]].ray.second <= task[i].l)
                {
                    bs_lf[root] = max(bs_lf[root], tree_left[root][pt_lf[root]].ray.first);
                    pt_lf[root] ++;
                }
                longest = max(longest, bs_lf[root] - task[i].l);
                /**for (interval_ray cur : tree_left[root])
                {
                    if (task[i].l >= cur.ray.second)
                        longest = max(longest, cur.ray.first - task[i].l);
                }*/
        
        
                if (left == right)
                    break;
        
                int mid = (left + right) / 2;
                if (pos <= mid)
                {
                    root *= 2;
                    right = mid;
                }
                else
                {
                    root = root * 2 + 1;
                    left = mid + 1;
                }
            }
        
            ans[task[i].idx] = max(ans[task[i].idx], longest);
        }
        
        for (int i = 1; i <= q; i ++)
        {
            if (ans[i] > 2e8)
                cout << -1 << endl;
            else
                cout << ans[i] << endl;
        }
    }
    void solve()
    {
        input();
        ///compress_data();
        answer_queries();
    }
        
    void speed()
    {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout.tie(NULL);
    }
    int main()
    {
        
        speed();
        solve();
        return 0;
    }
        
    /**
    2 1 2
    3 1 1 3
    5 1 3 4
    3 3
    3 4
        
        
        
        
    4 2 4
    3 1 1 10
    9 2 2 4
    7 2 5 7
    4 1 8 10
    5 3
    5 6
    5 9
    1 10
        
    2 1 3
    1 1 1 4
    1 1 2 6
    1 3
    1 5
    1 7
        
    1 1 1
    100000000 1 1 1
    1 1
        
        
        
    */

Compilation message

new_home.cpp: In function 'void add_event(int, int, int)':
new_home.cpp:167:17: warning: unused variable 'mid' [-Wunused-variable]
  167 |             int mid = (cor + aft) / 2;
      |                 ^~~
new_home.cpp:176:17: warning: unused variable 'mid' [-Wunused-variable]
  176 |             int mid = (bef + cor) / 2;
      |                 ^~~
new_home.cpp:186:17: warning: unused variable 'mid_left' [-Wunused-variable]
  186 |             int mid_left = (bef + cor) / 2;
      |                 ^~~~~~~~
new_home.cpp:191:17: warning: unused variable 'mid_right' [-Wunused-variable]
  191 |             int mid_right = (cor + aft) / 2;
      |                 ^~~~~~~~~
new_home.cpp: In function 'void remove_event(int, int, int)':
new_home.cpp:240:17: warning: unused variable 'mid' [-Wunused-variable]
  240 |             int mid = (bef + aft) / 2;
      |                 ^~~
new_home.cpp: In function 'void answer_queries()':
new_home.cpp:336:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  336 |         for (int i = 1; i < dat.size(); i ++)
      |                         ~~^~~~~~~~~~~~
new_home.cpp:426:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<interval_ray>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  426 |                 while(pt_lf[root] < tree_left[root].size() && tree_left[root][pt_lf[root]].ray.second <= task[i].l)
      |                       ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 46 ms 221980 KB Output is correct
2 Correct 46 ms 222036 KB Output is correct
3 Correct 45 ms 222044 KB Output is correct
4 Correct 45 ms 222036 KB Output is correct
5 Runtime error 199 ms 437328 KB Execution killed with signal 6
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 46 ms 221980 KB Output is correct
2 Correct 46 ms 222036 KB Output is correct
3 Correct 45 ms 222044 KB Output is correct
4 Correct 45 ms 222036 KB Output is correct
5 Runtime error 199 ms 437328 KB Execution killed with signal 6
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1808 ms 857912 KB Output is correct
2 Correct 1750 ms 836876 KB Output is correct
3 Correct 1941 ms 977804 KB Output is correct
4 Correct 1880 ms 855108 KB Output is correct
5 Correct 1645 ms 810948 KB Output is correct
6 Correct 1733 ms 815748 KB Output is correct
7 Correct 1955 ms 944280 KB Output is correct
8 Correct 1907 ms 864688 KB Output is correct
9 Correct 1950 ms 828092 KB Output is correct
10 Correct 1897 ms 823116 KB Output is correct
11 Correct 1494 ms 798656 KB Output is correct
12 Correct 1744 ms 840672 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4364 ms 895244 KB Output is correct
2 Correct 409 ms 299456 KB Output is correct
3 Incorrect 4053 ms 918040 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 46 ms 221980 KB Output is correct
2 Correct 46 ms 222036 KB Output is correct
3 Correct 45 ms 222044 KB Output is correct
4 Correct 45 ms 222036 KB Output is correct
5 Runtime error 199 ms 437328 KB Execution killed with signal 6
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 46 ms 221980 KB Output is correct
2 Correct 46 ms 222036 KB Output is correct
3 Correct 45 ms 222044 KB Output is correct
4 Correct 45 ms 222036 KB Output is correct
5 Runtime error 199 ms 437328 KB Execution killed with signal 6
6 Halted 0 ms 0 KB -