oj.uz

Submission #864611

# Submission time Handle Problem Language Result Execution time Memory
864611 2023-10-23T10:32:37 Z danikoynov New Home (APIO18_new_home) C++14
47 / 100
 2045 ms 362756 KB 
#include<bits/stdc++.h>
#define endl '\n'

using namespace std;
typedef long long ll;

const int maxn = 3e5 + 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];
        }
    }
}
int type[maxn];
int solve_naive(int pivot, int year)
{
    for (int i = 1; i <= k; i ++)
        type[i] = inf;

    for (int i = 1; i <= n; i ++)
    {
        if (s[i].a <= year && s[i].b >= year)
            type[s[i].t] = min(type[s[i].t], abs(pivot - s[i].x));
    }

    int ans = -1;
    for (int i = 1; i <= k; i ++)
    {
        if (type[i] == inf)
            return -1;
        ans = max(ans, type[i]);
    }

    return ans;
}

bool cmp_query(query t1, query t2)
{
    return t1.y < t2.y;
}

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 > tree[4 * maxn];

void apply_update(int root, pair < int, int > val)
{
    if (val.first == -1)
    {
        tree[root].erase(tree[root].find(val.second));
    }
    else
    {
        tree[root].insert(val.second);
    }
}

void update(int root, int left, int right, int qleft, int qright, pair < int, int > val)
{
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        apply_update(root, val);
        return;
    }

    int mid = (left + right) / 2;

    update(root * 2, left, mid, qleft, qright, val);
    update(root * 2 + 1, mid + 1, right, qleft, qright, val);
}

int query(int root, int left, int right, int pos, int cor)
{   
   
    int far = 0;
    if (!tree[root].empty())
    {
        far = max(far, abs(cor - *tree[root].begin()));
        far = max(far, abs(cor - *tree[root].rbegin()));
    }
    
    if (left != right)
    {
        int mid = (left + right) / 2;
        if (pos <= mid)
            far = max(far, query(root * 2, left, mid, pos, cor));
        else
            far = max(far, query(root * 2 + 1, mid + 1, right, pos, cor));
    }
        ///cout << root << " " << left << " " << right << " " << pos << " " << cor << endl;
        ///cout << far << " : " << cor<< endl; 

    return far;
}

multiset < int > act[maxn];

void add_event(int type, int cor)
{
    multiset < int > :: iterator it = act[type].upper_bound(cor);
    int aft = *it;
    int bef = *prev(it);

    if (bef == -inf && aft == inf)
    {
        update(1, 1, dif, 1, dif, {-1, -inf});
        update(1, 1, dif, 1, rev[cor], {1, cor});
        update(1, 1, dif, rev[cor], dif, {1, cor});
        ///cout << "from to " << rev[cor] << endl;
    }
    else
    if (bef == - inf) // aft != inf
    {
        update(1, 1, dif, 1, rev[aft], {-1, aft});
        update(1, 1, dif, 1, rev[cor], {1, cor});
        int mid = get_mid(cor, aft);
        update(1, 1, dif, rev[cor], mid, {1, cor});
        update(1, 1, dif, mid + 1, rev[aft], {1, aft});
    }
    else
    if (aft == inf) // bef != inf
    {
        update(1, 1, dif, rev[bef], dif, {-1, bef});
        update(1, 1, dif, rev[cor], dif, {1, cor});
        int mid = get_mid(bef, cor);
        ///cout << "here " << mid << endl;
        update(1, 1, dif, rev[bef], mid, {1, bef});
        update(1, 1, dif, mid + 1, rev[cor], {1, cor});
    }
    else   /// aft != inf && bef != inf
    {
        int mid = get_mid(bef, aft);
        update(1, 1, dif, rev[bef], mid, {-1, bef});
        update(1, 1, dif, mid + 1, rev[aft], {-1, aft});
        int mid_left = get_mid(bef, cor);
        update(1, 1, dif, rev[bef], mid_left, {1, bef});
        update(1, 1, dif, mid_left + 1, rev[cor], {1, cor});
        int mid_right = get_mid(cor, aft);
        update(1, 1, dif, rev[cor], mid_right, {1, cor});
        update(1, 1, dif, mid_right + 1, rev[aft], {1, aft});
    }

    act[type].insert(cor);
}

void remove_event(int type, int cor)
{
    multiset < int > :: iterator it = act[type].find(cor);
    int aft = *next(it);
    int bef = *prev(it);

    if (bef == -inf && aft == inf)
    {
        update(1, 1, dif, 1, dif, {+1, -inf});
        update(1, 1, dif, 1, rev[cor], {-1, cor});
        update(1, 1, dif, rev[cor], dif, {-1, cor});
    }
    else
    if (bef == - inf) // aft != inf
    {
        update(1, 1, dif, 1, rev[aft], {1, aft});
        update(1, 1, dif, 1, rev[cor], {-1, cor});
        int mid = get_mid(cor, aft);
        update(1, 1, dif, rev[cor], mid, {-1, cor});
        update(1, 1, dif, mid + 1, rev[aft], {-1, aft});
    }
    else
    if (aft == inf) // bef != inf
    {
        update(1, 1, dif, rev[bef], dif, {1, bef});
        update(1, 1, dif, rev[cor], dif, {-1, cor});
        int mid = get_mid(bef, cor);
        update(1, 1, dif, rev[bef], mid, {-1, bef});
        update(1, 1, dif, mid + 1, rev[cor], {-1, cor});
    }
    else   /// aft != inf && bef != inf
    {
        int mid = get_mid(bef, aft);
        update(1, 1, dif, rev[bef], mid, {1, bef});
        update(1, 1, dif, mid + 1, rev[aft], {1, aft});
        int mid_left = get_mid(bef, cor);
        update(1, 1, dif, rev[bef], mid_left, {-1, bef});
        update(1, 1, dif, mid_left + 1, rev[cor], {-1, cor});
        int mid_right = get_mid(cor, aft);
        update(1, 1, dif, rev[cor], mid_right, {-1, cor});
        update(1, 1, dif, mid_right + 1, rev[aft], {-1, aft});
    }

    act[type].erase(it);
}

int ans[maxn];

int single_query(int cor)
{
    /**int far = 0;
    for (int i = 1; i <= k; i ++)
    {
        multiset < int > :: iterator it = act[i].upper_bound(cor);
        int closest = inf;
        ///if (it != act[i].end())
        ///cout << "here " << cor << " " << *it << endl;
        if (it != act[i].end())
            closest = min(closest, *it - cor);
        
        if (it != act[i].begin())
            closest = min(closest, cor - *prev(it));
        
        far = max(far, closest);
        ///cout << far << endl;
    }*/

    int far = query(1, 1, dif, rev[cor], cor);

    if (far > 2e8)
        return -1;

    return far;
}

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);
        update(1, 1, dif, 1, dif, {1, -inf});
    }

    int pt = 1;
    for (event cur : events)
    {
        
        while(pt <= q && task[pt].y < cur.arrive)
        {
            ans[task[pt].idx] = single_query(task[pt].l);
            pt ++;
        }
        ///cout << "event " << cur.arrive << " " << cur.add << " " << cur.cor << endl;
        if (cur.add == 1)
            add_event(cur.type, cur.cor);
        else
            remove_event(cur.type, cur.cor);
    }

    while(pt <= q)
    {
         ans[task[pt].idx] = single_query(task[pt].l);
         pt ++;
    }

    for (int i = 1; i <= q; i ++)
        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();
      |         ^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 78432 KB Output is correct
2 Correct 14 ms 78444 KB Output is correct
3 Correct 14 ms 78424 KB Output is correct
4 Correct 15 ms 78368 KB Output is correct
5 Correct 17 ms 78428 KB Output is correct
6 Correct 17 ms 78428 KB Output is correct
7 Correct 15 ms 78428 KB Output is correct
8 Correct 18 ms 78628 KB Output is correct
9 Correct 16 ms 78684 KB Output is correct
10 Correct 16 ms 78428 KB Output is correct
11 Correct 16 ms 78424 KB Output is correct
12 Correct 16 ms 78428 KB Output is correct
13 Correct 15 ms 78424 KB Output is correct
14 Correct 15 ms 78424 KB Output is correct
15 Correct 16 ms 78424 KB Output is correct
16 Correct 17 ms 78428 KB Output is correct
17 Correct 16 ms 78424 KB Output is correct
18 Correct 18 ms 78428 KB Output is correct
19 Correct 16 ms 78428 KB Output is correct
20 Correct 16 ms 78364 KB Output is correct
21 Correct 15 ms 78552 KB Output is correct
22 Correct 16 ms 78728 KB Output is correct
23 Correct 16 ms 78684 KB Output is correct
24 Correct 17 ms 78668 KB Output is correct
25 Correct 16 ms 78428 KB Output is correct
26 Correct 16 ms 78424 KB Output is correct
27 Correct 16 ms 78352 KB Output is correct
28 Correct 16 ms 78428 KB Output is correct
29 Correct 18 ms 78512 KB Output is correct
30 Correct 15 ms 78760 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 78432 KB Output is correct
2 Correct 14 ms 78444 KB Output is correct
3 Correct 14 ms 78424 KB Output is correct
4 Correct 15 ms 78368 KB Output is correct
5 Correct 17 ms 78428 KB Output is correct
6 Correct 17 ms 78428 KB Output is correct
7 Correct 15 ms 78428 KB Output is correct
8 Correct 18 ms 78628 KB Output is correct
9 Correct 16 ms 78684 KB Output is correct
10 Correct 16 ms 78428 KB Output is correct
11 Correct 16 ms 78424 KB Output is correct
12 Correct 16 ms 78428 KB Output is correct
13 Correct 15 ms 78424 KB Output is correct
14 Correct 15 ms 78424 KB Output is correct
15 Correct 16 ms 78424 KB Output is correct
16 Correct 17 ms 78428 KB Output is correct
17 Correct 16 ms 78424 KB Output is correct
18 Correct 18 ms 78428 KB Output is correct
19 Correct 16 ms 78428 KB Output is correct
20 Correct 16 ms 78364 KB Output is correct
21 Correct 15 ms 78552 KB Output is correct
22 Correct 16 ms 78728 KB Output is correct
23 Correct 16 ms 78684 KB Output is correct
24 Correct 17 ms 78668 KB Output is correct
25 Correct 16 ms 78428 KB Output is correct
26 Correct 16 ms 78424 KB Output is correct
27 Correct 16 ms 78352 KB Output is correct
28 Correct 16 ms 78428 KB Output is correct
29 Correct 18 ms 78512 KB Output is correct
30 Correct 15 ms 78760 KB Output is correct
31 Correct 2045 ms 132664 KB Output is correct
32 Correct 219 ms 82848 KB Output is correct
33 Correct 666 ms 95620 KB Output is correct
34 Correct 1714 ms 105916 KB Output is correct
35 Correct 1614 ms 124120 KB Output is correct
36 Correct 758 ms 106416 KB Output is correct
37 Correct 504 ms 88320 KB Output is correct
38 Correct 355 ms 87304 KB Output is correct
39 Correct 332 ms 86956 KB Output is correct
40 Correct 317 ms 86796 KB Output is correct
41 Correct 557 ms 87060 KB Output is correct
42 Correct 595 ms 86860 KB Output is correct
43 Correct 112 ms 86640 KB Output is correct
44 Correct 542 ms 87040 KB Output is correct
45 Correct 446 ms 87064 KB Output is correct
46 Correct 372 ms 87056 KB Output is correct
47 Correct 252 ms 86544 KB Output is correct
48 Correct 243 ms 86712 KB Output is correct
49 Correct 316 ms 86748 KB Output is correct
50 Correct 451 ms 86804 KB Output is correct
51 Correct 312 ms 86804 KB Output is correct

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 777 ms 362756 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 897 ms 354204 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 78432 KB Output is correct
2 Correct 14 ms 78444 KB Output is correct
3 Correct 14 ms 78424 KB Output is correct
4 Correct 15 ms 78368 KB Output is correct
5 Correct 17 ms 78428 KB Output is correct
6 Correct 17 ms 78428 KB Output is correct
7 Correct 15 ms 78428 KB Output is correct
8 Correct 18 ms 78628 KB Output is correct
9 Correct 16 ms 78684 KB Output is correct
10 Correct 16 ms 78428 KB Output is correct
11 Correct 16 ms 78424 KB Output is correct
12 Correct 16 ms 78428 KB Output is correct
13 Correct 15 ms 78424 KB Output is correct
14 Correct 15 ms 78424 KB Output is correct
15 Correct 16 ms 78424 KB Output is correct
16 Correct 17 ms 78428 KB Output is correct
17 Correct 16 ms 78424 KB Output is correct
18 Correct 18 ms 78428 KB Output is correct
19 Correct 16 ms 78428 KB Output is correct
20 Correct 16 ms 78364 KB Output is correct
21 Correct 15 ms 78552 KB Output is correct
22 Correct 16 ms 78728 KB Output is correct
23 Correct 16 ms 78684 KB Output is correct
24 Correct 17 ms 78668 KB Output is correct
25 Correct 16 ms 78428 KB Output is correct
26 Correct 16 ms 78424 KB Output is correct
27 Correct 16 ms 78352 KB Output is correct
28 Correct 16 ms 78428 KB Output is correct
29 Correct 18 ms 78512 KB Output is correct
30 Correct 15 ms 78760 KB Output is correct
31 Correct 2045 ms 132664 KB Output is correct
32 Correct 219 ms 82848 KB Output is correct
33 Correct 666 ms 95620 KB Output is correct
34 Correct 1714 ms 105916 KB Output is correct
35 Correct 1614 ms 124120 KB Output is correct
36 Correct 758 ms 106416 KB Output is correct
37 Correct 504 ms 88320 KB Output is correct
38 Correct 355 ms 87304 KB Output is correct
39 Correct 332 ms 86956 KB Output is correct
40 Correct 317 ms 86796 KB Output is correct
41 Correct 557 ms 87060 KB Output is correct
42 Correct 595 ms 86860 KB Output is correct
43 Correct 112 ms 86640 KB Output is correct
44 Correct 542 ms 87040 KB Output is correct
45 Correct 446 ms 87064 KB Output is correct
46 Correct 372 ms 87056 KB Output is correct
47 Correct 252 ms 86544 KB Output is correct
48 Correct 243 ms 86712 KB Output is correct
49 Correct 316 ms 86748 KB Output is correct
50 Correct 451 ms 86804 KB Output is correct
51 Correct 312 ms 86804 KB Output is correct
52 Correct 723 ms 141748 KB Output is correct
53 Correct 657 ms 111980 KB Output is correct
54 Correct 1960 ms 153264 KB Output is correct
55 Correct 768 ms 105276 KB Output is correct
56 Correct 763 ms 114532 KB Output is correct
57 Correct 675 ms 92420 KB Output is correct
58 Correct 811 ms 105240 KB Output is correct
59 Correct 837 ms 114708 KB Output is correct
60 Correct 720 ms 92164 KB Output is correct
61 Correct 128 ms 95000 KB Output is correct
62 Correct 723 ms 141964 KB Output is correct
63 Correct 1491 ms 139520 KB Output is correct
64 Correct 1688 ms 130404 KB Output is correct
65 Correct 1359 ms 101036 KB Output is correct
66 Correct 649 ms 87488 KB Output is correct
67 Correct 1362 ms 95868 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 78432 KB Output is correct
2 Correct 14 ms 78444 KB Output is correct
3 Correct 14 ms 78424 KB Output is correct
4 Correct 15 ms 78368 KB Output is correct
5 Correct 17 ms 78428 KB Output is correct
6 Correct 17 ms 78428 KB Output is correct
7 Correct 15 ms 78428 KB Output is correct
8 Correct 18 ms 78628 KB Output is correct
9 Correct 16 ms 78684 KB Output is correct
10 Correct 16 ms 78428 KB Output is correct
11 Correct 16 ms 78424 KB Output is correct
12 Correct 16 ms 78428 KB Output is correct
13 Correct 15 ms 78424 KB Output is correct
14 Correct 15 ms 78424 KB Output is correct
15 Correct 16 ms 78424 KB Output is correct
16 Correct 17 ms 78428 KB Output is correct
17 Correct 16 ms 78424 KB Output is correct
18 Correct 18 ms 78428 KB Output is correct
19 Correct 16 ms 78428 KB Output is correct
20 Correct 16 ms 78364 KB Output is correct
21 Correct 15 ms 78552 KB Output is correct
22 Correct 16 ms 78728 KB Output is correct
23 Correct 16 ms 78684 KB Output is correct
24 Correct 17 ms 78668 KB Output is correct
25 Correct 16 ms 78428 KB Output is correct
26 Correct 16 ms 78424 KB Output is correct
27 Correct 16 ms 78352 KB Output is correct
28 Correct 16 ms 78428 KB Output is correct
29 Correct 18 ms 78512 KB Output is correct
30 Correct 15 ms 78760 KB Output is correct
31 Correct 2045 ms 132664 KB Output is correct
32 Correct 219 ms 82848 KB Output is correct
33 Correct 666 ms 95620 KB Output is correct
34 Correct 1714 ms 105916 KB Output is correct
35 Correct 1614 ms 124120 KB Output is correct
36 Correct 758 ms 106416 KB Output is correct
37 Correct 504 ms 88320 KB Output is correct
38 Correct 355 ms 87304 KB Output is correct
39 Correct 332 ms 86956 KB Output is correct
40 Correct 317 ms 86796 KB Output is correct
41 Correct 557 ms 87060 KB Output is correct
42 Correct 595 ms 86860 KB Output is correct
43 Correct 112 ms 86640 KB Output is correct
44 Correct 542 ms 87040 KB Output is correct
45 Correct 446 ms 87064 KB Output is correct
46 Correct 372 ms 87056 KB Output is correct
47 Correct 252 ms 86544 KB Output is correct
48 Correct 243 ms 86712 KB Output is correct
49 Correct 316 ms 86748 KB Output is correct
50 Correct 451 ms 86804 KB Output is correct
51 Correct 312 ms 86804 KB Output is correct
52 Runtime error 777 ms 362756 KB Execution killed with signal 11
53 Halted 0 ms 0 KB -