oj.uz

Submission #864821

# Submission time Handle Problem Language Result Execution time Memory
864821 2023-10-23T16:38:26 Z danikoynov New Home (APIO18_new_home) C++14
5 / 100
 5000 ms 987900 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;
 
void input()
{
    cin >> n >> k >> q;
    for (int i = 1; i <= n; i ++)
        cin >> s[i].x >> s[i].t >> s[i].a >> s[i].b;
 
    for (int i = 1; i <= q; i ++)
        cin >> task[i].l >> task[i].y, task[i].idx = i;
}
 
unordered_map < int, int > rev;
int dif, back_to[2 * maxn];
 
int get_mid(int left, int right)
{
    if (left == right)
        return rev[left];
    
    int lf = rev[left], rf = rev[right];
    while(lf <= rf)
    {
        int mf = (lf + rf) / 2;
        if (abs(left - back_to[mf]) <= abs(right - back_to[mf]))
            lf = mf + 1;
        else
            rf = mf - 1;
    }
 
    return rf;
}
void compress_data()
{
    vector < int > cor;
    for (int i = 1; i <= n; i ++)
        cor.push_back(s[i].x);
    for (int i = 1; i <= q; i ++)
        cor.push_back(task[i].l);
 
    sort(cor.begin(), cor.end());
    int sz = cor.size();
 
    for (int i = 0; i < cor.size(); i ++)
    {
        if (i != 0 || cor[i - 1] != cor[i])
        {
            dif ++;
            rev[cor[i]] = dif;
            back_to[dif] = cor[i];
        }
    }
}

 
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;
    }
};

vector < interval_ray > seg_left, seg_right;

map < pair < int, int >, int > ray_right[maxn], ray_left[maxn];

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, finish}], timer - 1, {start, finish}));
    ray_left[type][{start, finish}] = 0;
}

void make_right_segment(int start, int finish, int timer, int type)
{

    seg_right.push_back(interval_ray(ray_right[type][{start, finish}], timer - 1, {start, finish}));
    ray_right[type][{start, finish}] = 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, -inf}] = timer;
        ray_right[type][{cor, +inf}] = timer;
    }
    else
    if (bef == - inf)
    {
        make_left_segment(aft, -inf, timer, type);
        int mid = (cor + aft) / 2;
        ray_right[type][{cor, mid}] = timer;
        ray_left[type][{aft, mid + 1}] = timer;
        ray_left[type][{cor, -inf}] = timer;
    }
    else
    if (aft == inf)
    {
        make_right_segment(bef, inf, timer, type);
        int mid = (bef + cor) / 2;
        ray_left[type][{cor, mid + 1}] = timer;
        ray_right[type][{bef, mid}] = timer;
        ray_right[type][{cor, inf}] = 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;
        ray_right[type][{bef, mid_left}] = timer;
        ray_left[type][{cor, mid_left + 1}] = timer;
        int mid_right = (cor + aft) / 2;
        ray_right[type][{cor, mid_right}] = timer;
        ray_left[type][{aft, mid_right + 1}] = 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, 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, -inf}] = 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, inf}] = 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, mid}] = timer;
        ray_left[type][{aft, mid + 1}] = 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, inf}] = 1;
    }
 
    
    int cnt = 0;
    vector < int > data;
    data.push_back(0);
    data.push_back(1);

    for (event cur : events)
    {
        data.push_back(cur.arrive - 1);
        data.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);
    }

    data.push_back(inf - 1);
    data.push_back(inf);

    for (int i = 1; i <= q; i ++)
        data.push_back(task[i].y);

    sort(data.begin(), data.end());
    cnt ++;
    event_times[data[0]] = cnt;
    for (int i = 1; i < data.size(); i ++)
    {
        if (data[i] == data[i - 1])
            continue;
        cnt ++;
        event_times[data[i]] = cnt;
    }

    map < pair < int, int >, int > :: iterator it;
    for (int i = 1; i <= k; i ++)
        for (it = ray_right[i].begin(); it != ray_right[i].end(); it ++)
        {
            ///cout << it -> first.first << " :: " << it -> first.second << " " << it -> second << endl;
            if (it -> second != 0)
                make_right_segment(it -> first.first, it -> first.second, inf, i);
        }


    for (int i = 1; i <= k; i ++)
        for (it = ray_left[i].begin(); it != ray_left[i].end(); it ++)
        {
            if (it -> second != 0)
            {
            ///cout << "here " << endl;
                make_left_segment(it -> first.first, it -> first.second, inf, i);
            }
        }

    
    for (interval_ray cur : seg_left)
    {
        update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e], cur, -1);
    ///    cout << "left ray " << cur.s << " " << cur.e << " " << cur.ray.first << " " << cur.ray.second << endl;
    }

    for (interval_ray cur : seg_right)
    {
        update_range(1, 1, cnt, event_times[cur.s], event_times[cur.e], 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] = 0;
        bs_rf[i] = inf;
        sort(tree_right[i].begin(), tree_right[i].end(), cmp_ray_second);
    }

    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_rf[root] < tree_right[root].size() && 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]);
            for (interval_ray cur : tree_right[root])
            {
                if (task[i].l <= cur.ray.second)
                    longest = max(longest, task[i].l - cur.ray.first);
            }

            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 = q; i > 0; 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;
            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 compress_data()':
new_home.cpp:62:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for (int i = 0; i < cor.size(); i ++)
      |                     ~~^~~~~~~~~~~~
new_home.cpp:60:9: warning: unused variable 'sz' [-Wunused-variable]
   60 |     int sz = cor.size();
      |         ^~
new_home.cpp: In function 'void answer_queries()':
new_home.cpp:324:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  324 |     for (int i = 1; i < data.size(); i ++)
      |                     ~~^~~~~~~~~~~~~
new_home.cpp:380:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<interval_ray>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  380 |             while(pt_rf[root] < tree_right[root].size() && task[i].l <= tree_right[root][pt_rf[root]].ray.second)
      |                   ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 207664 KB Output is correct
2 Correct 44 ms 207700 KB Output is correct
3 Correct 43 ms 207656 KB Output is correct
4 Correct 44 ms 207556 KB Output is correct
5 Correct 45 ms 207704 KB Output is correct
6 Correct 47 ms 208232 KB Output is correct
7 Correct 44 ms 208400 KB Output is correct
8 Correct 45 ms 208404 KB Output is correct
9 Correct 45 ms 208212 KB Output is correct
10 Correct 49 ms 208432 KB Output is correct
11 Correct 43 ms 208044 KB Output is correct
12 Correct 45 ms 208220 KB Output is correct
13 Correct 43 ms 208064 KB Output is correct
14 Correct 43 ms 207960 KB Output is correct
15 Correct 48 ms 208468 KB Output is correct
16 Correct 43 ms 208208 KB Output is correct
17 Correct 46 ms 208208 KB Output is correct
18 Correct 47 ms 208212 KB Output is correct
19 Correct 45 ms 208436 KB Output is correct
20 Correct 44 ms 208116 KB Output is correct
21 Correct 43 ms 207696 KB Output is correct
22 Correct 44 ms 208212 KB Output is correct
23 Correct 46 ms 208216 KB Output is correct
24 Correct 44 ms 208212 KB Output is correct
25 Correct 52 ms 208200 KB Output is correct
26 Correct 43 ms 207956 KB Output is correct
27 Correct 44 ms 207948 KB Output is correct
28 Correct 52 ms 208160 KB Output is correct
29 Correct 42 ms 207952 KB Output is correct
30 Correct 44 ms 207952 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 207664 KB Output is correct
2 Correct 44 ms 207700 KB Output is correct
3 Correct 43 ms 207656 KB Output is correct
4 Correct 44 ms 207556 KB Output is correct
5 Correct 45 ms 207704 KB Output is correct
6 Correct 47 ms 208232 KB Output is correct
7 Correct 44 ms 208400 KB Output is correct
8 Correct 45 ms 208404 KB Output is correct
9 Correct 45 ms 208212 KB Output is correct
10 Correct 49 ms 208432 KB Output is correct
11 Correct 43 ms 208044 KB Output is correct
12 Correct 45 ms 208220 KB Output is correct
13 Correct 43 ms 208064 KB Output is correct
14 Correct 43 ms 207960 KB Output is correct
15 Correct 48 ms 208468 KB Output is correct
16 Correct 43 ms 208208 KB Output is correct
17 Correct 46 ms 208208 KB Output is correct
18 Correct 47 ms 208212 KB Output is correct
19 Correct 45 ms 208436 KB Output is correct
20 Correct 44 ms 208116 KB Output is correct
21 Correct 43 ms 207696 KB Output is correct
22 Correct 44 ms 208212 KB Output is correct
23 Correct 46 ms 208216 KB Output is correct
24 Correct 44 ms 208212 KB Output is correct
25 Correct 52 ms 208200 KB Output is correct
26 Correct 43 ms 207956 KB Output is correct
27 Correct 44 ms 207948 KB Output is correct
28 Correct 52 ms 208160 KB Output is correct
29 Correct 42 ms 207952 KB Output is correct
30 Correct 44 ms 207952 KB Output is correct
31 Execution timed out 5050 ms 374160 KB Time limit exceeded
32 Halted 0 ms 0 KB -

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 5093 ms 886708 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 5087 ms 987900 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 207664 KB Output is correct
2 Correct 44 ms 207700 KB Output is correct
3 Correct 43 ms 207656 KB Output is correct
4 Correct 44 ms 207556 KB Output is correct
5 Correct 45 ms 207704 KB Output is correct
6 Correct 47 ms 208232 KB Output is correct
7 Correct 44 ms 208400 KB Output is correct
8 Correct 45 ms 208404 KB Output is correct
9 Correct 45 ms 208212 KB Output is correct
10 Correct 49 ms 208432 KB Output is correct
11 Correct 43 ms 208044 KB Output is correct
12 Correct 45 ms 208220 KB Output is correct
13 Correct 43 ms 208064 KB Output is correct
14 Correct 43 ms 207960 KB Output is correct
15 Correct 48 ms 208468 KB Output is correct
16 Correct 43 ms 208208 KB Output is correct
17 Correct 46 ms 208208 KB Output is correct
18 Correct 47 ms 208212 KB Output is correct
19 Correct 45 ms 208436 KB Output is correct
20 Correct 44 ms 208116 KB Output is correct
21 Correct 43 ms 207696 KB Output is correct
22 Correct 44 ms 208212 KB Output is correct
23 Correct 46 ms 208216 KB Output is correct
24 Correct 44 ms 208212 KB Output is correct
25 Correct 52 ms 208200 KB Output is correct
26 Correct 43 ms 207956 KB Output is correct
27 Correct 44 ms 207948 KB Output is correct
28 Correct 52 ms 208160 KB Output is correct
29 Correct 42 ms 207952 KB Output is correct
30 Correct 44 ms 207952 KB Output is correct
31 Execution timed out 5050 ms 374160 KB Time limit exceeded
32 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 207664 KB Output is correct
2 Correct 44 ms 207700 KB Output is correct
3 Correct 43 ms 207656 KB Output is correct
4 Correct 44 ms 207556 KB Output is correct
5 Correct 45 ms 207704 KB Output is correct
6 Correct 47 ms 208232 KB Output is correct
7 Correct 44 ms 208400 KB Output is correct
8 Correct 45 ms 208404 KB Output is correct
9 Correct 45 ms 208212 KB Output is correct
10 Correct 49 ms 208432 KB Output is correct
11 Correct 43 ms 208044 KB Output is correct
12 Correct 45 ms 208220 KB Output is correct
13 Correct 43 ms 208064 KB Output is correct
14 Correct 43 ms 207960 KB Output is correct
15 Correct 48 ms 208468 KB Output is correct
16 Correct 43 ms 208208 KB Output is correct
17 Correct 46 ms 208208 KB Output is correct
18 Correct 47 ms 208212 KB Output is correct
19 Correct 45 ms 208436 KB Output is correct
20 Correct 44 ms 208116 KB Output is correct
21 Correct 43 ms 207696 KB Output is correct
22 Correct 44 ms 208212 KB Output is correct
23 Correct 46 ms 208216 KB Output is correct
24 Correct 44 ms 208212 KB Output is correct
25 Correct 52 ms 208200 KB Output is correct
26 Correct 43 ms 207956 KB Output is correct
27 Correct 44 ms 207948 KB Output is correct
28 Correct 52 ms 208160 KB Output is correct
29 Correct 42 ms 207952 KB Output is correct
30 Correct 44 ms 207952 KB Output is correct
31 Execution timed out 5050 ms 374160 KB Time limit exceeded
32 Halted 0 ms 0 KB -