oj.uz

Submission #568093

# Submission time Handle Problem Language Result Execution time Memory
568093 2022-05-24T16:22:42 Z Cyanmond New Home (APIO18_new_home) C++17
57 / 100
 5000 ms 283000 KB 
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>

using namespace std;
using i64 = int64_t;

constexpr int inf = 1000000100;

#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, l, r) for (int i = (l); i < (r); ++i)
#define RVP(i, n) for (int i = (n - 1); i >= 0; --i)

#define ALL(x) (x).begin(), (x).end()

struct PriqueErase {
    priority_queue<int, vector<int>, greater<int>> a, b;

    void push(int x) { a.push(x); }

    void erase(int x) { b.push(x); }

    int top() {
        while (not a.empty()) {
            const int v = a.top();
            if (b.empty() or v != b.top()) {
                return v;
            } else {
                a.pop();
                b.pop();
            }
        }
        return inf;
    }
};

int cnt_sp[2000000];

struct RIEPM {
    int n, siz;
    vector<PriqueErase> data;

    RIEPM(int n_) : n(n_) {
        siz = 1;
        while (siz < n) siz <<= 1;
        data.assign(2 * siz, PriqueErase());
    }

    void replace(int l, int r1, int r2, int v) {
        assert(0 <= l and l <= r1 and l <= r2 and r1 <= n and r2 <= n);
        static vector<int> vs;
        for (int li = l + siz, ri = r1 + siz; li < ri; li >>= 1, ri >>= 1) {
            if (li & 1) {
                ++cnt_sp[li++];
                vs.push_back(li - 1);
            }
            if (ri & 1) {
                ++cnt_sp[--ri];
                vs.push_back(ri);
            }
        }
        for (int li = l + siz, ri = r2 + siz; li < ri; li >>= 1, ri >>= 1) {
            if (li & 1) {
                --cnt_sp[li++];
                vs.push_back(li - 1);
            }
            if (ri & 1) {
                --cnt_sp[--ri];
                vs.push_back(ri);
            }
        }
        for (const int i : vs) {
            if (cnt_sp[i] == 1) data[i].push(v);
            if (cnt_sp[i] == -1) data[i].erase(v);
            cnt_sp[i] = 0;
        }
        vs.clear();
    }

    void push(int l, int r, int v) {
        assert(0 <= l and l <= r and r <= n);
        for (l += siz, r += siz; l < r; l >>= 1, r >>= 1) {
            if (l & 1) data[l++].push(v);
            if (r & 1) data[--r].push(v);
        }
    }

    void erase(int l, int r, int v) {
        assert(0 <= l and l <= r and r <= n);
        for (l += siz, r += siz; l < r; l >>= 1, r >>= 1) {
            if (l & 1) data[l++].erase(v);
            if (r & 1) data[--r].erase(v);
        }
    }

    int top(int i) {
        assert(0 <= i and i < n);
        i += siz;
        int res = inf;
        while (i != 0) {
            res = min(res, data[i].top());
            i >>= 1;
        }
        return res;
    }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    fill(cnt_sp, cnt_sp + 2000000, 0);

    int N, K, Q;
    cin >> N >> K >> Q;
    vector<int> X(N), T(N), A(N), B(N);
    REP(i, N) {
        cin >> X[i] >> T[i] >> A[i] >> B[i];
        --T[i];
    }
    vector<int> L(Q), Y(Q);
    REP(i, Q) cin >> L[i] >> Y[i];

    auto reverse_points = [&]() {
        REP(i, N) X[i] = inf - X[i];
        REP(i, Q) L[i] = inf - L[i];
    };

    auto solve = [&]() {
        vector<int> press;
        press.reserve(N + Q);
        REP(i, N) press.push_back(X[i]);
        REP(i, Q) press.push_back(L[i]);
        sort(ALL(press));
        press.erase(unique(ALL(press)), press.end());

        auto get_key = [&](int i) { return (int)(lower_bound(ALL(press), i) - press.begin()); };

        const int M = (int)press.size();
        RIEPM hp(M);

        vector<tuple<int, int, int, int>> event;
        event.reserve(N + Q);
        REP(i, N) {
            event.push_back({A[i], 0, X[i], T[i]});
            event.push_back({B[i] + 1, 1, X[i], T[i]});
        }
        REP(i, Q) event.push_back({Y[i], 2, L[i], i});
        sort(ALL(event));

        vector<map<int, int>> pd(K);
        vector<int> res(Q, -1);

        int cnt_zero = K;
        for (const auto &[c, qt, p, i] : event) {
            if (qt == 0) {
                if (pd[i].empty()) --cnt_zero;
                auto [itr, vld] = pd[i].insert({p, 1});
                if (not vld) {
                    ++itr->second;
                    continue;
                }
                auto itr_r = itr;
                ++itr_r;
                if (itr_r == pd[i].end()) {
                    hp.push(get_key(p), M, p);
                } else {
                    hp.push(get_key(p), get_key((p + itr_r->first + 2) / 2), p);
                }
                if (itr == pd[i].begin()) continue;
                auto itr_l = itr;
                --itr_l;
                const int l_id = get_key(itr_l->first);
                if (itr_r != pd[i].end()) {
                    hp.replace(l_id, get_key((itr_l->first + p + 2) / 2),
                               get_key((itr_l->first + itr_r->first + 2) / 2), itr_l->first);
                } else {
                    hp.replace(l_id, get_key((itr_l->first + p + 2) / 2), M, itr_l->first);
                }
            }
            if (qt == 1) {
                auto itr = pd[i].find(p);
                if (--(itr->second) != 0) {
                    continue;
                }
                pd[i].erase(p);
                if (pd[i].empty()) ++cnt_zero;
                auto itr_r = pd[i].upper_bound(p);
                if (itr_r != pd[i].end()) {
                    hp.erase(get_key(p), get_key((p + itr_r->first + 2) / 2), p);
                } else {
                    hp.erase(get_key(p), M, p);
                }
                if (itr_r == pd[i].begin()) continue;
                auto itr_l = itr_r;
                --itr_l;
                const int l_id = get_key(itr_l->first);
                if (itr_r != pd[i].end()) {
                    hp.replace(l_id, get_key((itr_l->first + itr_r->first + 2) / 2),
                               get_key((itr_l->first + p + 2) / 2), itr_l->first);
                } else {
                    hp.replace(l_id, M, get_key((itr_l->first + p + 2) / 2), itr_l->first);
                }
            }
            if (qt == 2) {
                if (cnt_zero != 0) continue;
                const int pi = get_key(p);
                const int vi = hp.top(pi);
                if (vi == inf) continue;
                res[i] = p - vi;
            }
        }

        return res;
    };

    const auto res1 = solve();
    reverse_points();
    const auto res2 = solve();
    REP(i, Q) {
        const int ans = max(res1[i], res2[i]);
        cout << ans << '\n';
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8080 KB Output is correct
2 Correct 5 ms 8152 KB Output is correct
3 Correct 5 ms 8080 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 7 ms 8424 KB Output is correct
7 Correct 8 ms 8376 KB Output is correct
8 Correct 6 ms 8416 KB Output is correct
9 Correct 5 ms 8416 KB Output is correct
10 Correct 7 ms 8420 KB Output is correct
11 Correct 6 ms 8404 KB Output is correct
12 Correct 6 ms 8404 KB Output is correct
13 Correct 8 ms 8356 KB Output is correct
14 Correct 8 ms 8424 KB Output is correct
15 Correct 6 ms 8440 KB Output is correct
16 Correct 6 ms 8408 KB Output is correct
17 Correct 7 ms 8376 KB Output is correct
18 Correct 6 ms 8416 KB Output is correct
19 Correct 8 ms 8364 KB Output is correct
20 Correct 7 ms 8404 KB Output is correct
21 Correct 5 ms 8148 KB Output is correct
22 Correct 5 ms 8404 KB Output is correct
23 Correct 6 ms 8404 KB Output is correct
24 Correct 8 ms 8404 KB Output is correct
25 Correct 6 ms 8416 KB Output is correct
26 Correct 7 ms 8404 KB Output is correct
27 Correct 6 ms 8148 KB Output is correct
28 Correct 6 ms 8404 KB Output is correct
29 Correct 6 ms 8404 KB Output is correct
30 Correct 7 ms 8404 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8080 KB Output is correct
2 Correct 5 ms 8152 KB Output is correct
3 Correct 5 ms 8080 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 7 ms 8424 KB Output is correct
7 Correct 8 ms 8376 KB Output is correct
8 Correct 6 ms 8416 KB Output is correct
9 Correct 5 ms 8416 KB Output is correct
10 Correct 7 ms 8420 KB Output is correct
11 Correct 6 ms 8404 KB Output is correct
12 Correct 6 ms 8404 KB Output is correct
13 Correct 8 ms 8356 KB Output is correct
14 Correct 8 ms 8424 KB Output is correct
15 Correct 6 ms 8440 KB Output is correct
16 Correct 6 ms 8408 KB Output is correct
17 Correct 7 ms 8376 KB Output is correct
18 Correct 6 ms 8416 KB Output is correct
19 Correct 8 ms 8364 KB Output is correct
20 Correct 7 ms 8404 KB Output is correct
21 Correct 5 ms 8148 KB Output is correct
22 Correct 5 ms 8404 KB Output is correct
23 Correct 6 ms 8404 KB Output is correct
24 Correct 8 ms 8404 KB Output is correct
25 Correct 6 ms 8416 KB Output is correct
26 Correct 7 ms 8404 KB Output is correct
27 Correct 6 ms 8148 KB Output is correct
28 Correct 6 ms 8404 KB Output is correct
29 Correct 6 ms 8404 KB Output is correct
30 Correct 7 ms 8404 KB Output is correct
31 Correct 1467 ms 49964 KB Output is correct
32 Correct 109 ms 15260 KB Output is correct
33 Correct 1175 ms 44076 KB Output is correct
34 Correct 1485 ms 48752 KB Output is correct
35 Correct 1389 ms 47328 KB Output is correct
36 Correct 1124 ms 44252 KB Output is correct
37 Correct 777 ms 43816 KB Output is correct
38 Correct 679 ms 41864 KB Output is correct
39 Correct 568 ms 42408 KB Output is correct
40 Correct 578 ms 41832 KB Output is correct
41 Correct 1046 ms 45836 KB Output is correct
42 Correct 987 ms 47544 KB Output is correct
43 Correct 85 ms 16120 KB Output is correct
44 Correct 1062 ms 45756 KB Output is correct
45 Correct 1079 ms 45080 KB Output is correct
46 Correct 980 ms 43144 KB Output is correct
47 Correct 454 ms 43456 KB Output is correct
48 Correct 499 ms 45488 KB Output is correct
49 Correct 660 ms 46708 KB Output is correct
50 Correct 622 ms 46984 KB Output is correct
51 Correct 634 ms 45756 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4428 ms 282712 KB Output is correct
2 Correct 3454 ms 260844 KB Output is correct
3 Correct 1926 ms 255812 KB Output is correct
4 Correct 3920 ms 279372 KB Output is correct
5 Correct 3038 ms 251264 KB Output is correct
6 Correct 3255 ms 253528 KB Output is correct
7 Correct 1953 ms 260192 KB Output is correct
8 Correct 3860 ms 277824 KB Output is correct
9 Correct 4550 ms 283000 KB Output is correct
10 Correct 4360 ms 282108 KB Output is correct
11 Correct 3523 ms 264900 KB Output is correct
12 Correct 3877 ms 264704 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 5082 ms 282244 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8080 KB Output is correct
2 Correct 5 ms 8152 KB Output is correct
3 Correct 5 ms 8080 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 7 ms 8424 KB Output is correct
7 Correct 8 ms 8376 KB Output is correct
8 Correct 6 ms 8416 KB Output is correct
9 Correct 5 ms 8416 KB Output is correct
10 Correct 7 ms 8420 KB Output is correct
11 Correct 6 ms 8404 KB Output is correct
12 Correct 6 ms 8404 KB Output is correct
13 Correct 8 ms 8356 KB Output is correct
14 Correct 8 ms 8424 KB Output is correct
15 Correct 6 ms 8440 KB Output is correct
16 Correct 6 ms 8408 KB Output is correct
17 Correct 7 ms 8376 KB Output is correct
18 Correct 6 ms 8416 KB Output is correct
19 Correct 8 ms 8364 KB Output is correct
20 Correct 7 ms 8404 KB Output is correct
21 Correct 5 ms 8148 KB Output is correct
22 Correct 5 ms 8404 KB Output is correct
23 Correct 6 ms 8404 KB Output is correct
24 Correct 8 ms 8404 KB Output is correct
25 Correct 6 ms 8416 KB Output is correct
26 Correct 7 ms 8404 KB Output is correct
27 Correct 6 ms 8148 KB Output is correct
28 Correct 6 ms 8404 KB Output is correct
29 Correct 6 ms 8404 KB Output is correct
30 Correct 7 ms 8404 KB Output is correct
31 Correct 1467 ms 49964 KB Output is correct
32 Correct 109 ms 15260 KB Output is correct
33 Correct 1175 ms 44076 KB Output is correct
34 Correct 1485 ms 48752 KB Output is correct
35 Correct 1389 ms 47328 KB Output is correct
36 Correct 1124 ms 44252 KB Output is correct
37 Correct 777 ms 43816 KB Output is correct
38 Correct 679 ms 41864 KB Output is correct
39 Correct 568 ms 42408 KB Output is correct
40 Correct 578 ms 41832 KB Output is correct
41 Correct 1046 ms 45836 KB Output is correct
42 Correct 987 ms 47544 KB Output is correct
43 Correct 85 ms 16120 KB Output is correct
44 Correct 1062 ms 45756 KB Output is correct
45 Correct 1079 ms 45080 KB Output is correct
46 Correct 980 ms 43144 KB Output is correct
47 Correct 454 ms 43456 KB Output is correct
48 Correct 499 ms 45488 KB Output is correct
49 Correct 660 ms 46708 KB Output is correct
50 Correct 622 ms 46984 KB Output is correct
51 Correct 634 ms 45756 KB Output is correct
52 Correct 466 ms 48740 KB Output is correct
53 Correct 438 ms 47352 KB Output is correct
54 Correct 814 ms 52328 KB Output is correct
55 Correct 748 ms 46708 KB Output is correct
56 Correct 651 ms 47064 KB Output is correct
57 Correct 856 ms 46796 KB Output is correct
58 Correct 718 ms 47776 KB Output is correct
59 Correct 668 ms 48348 KB Output is correct
60 Correct 918 ms 46404 KB Output is correct
61 Correct 87 ms 19672 KB Output is correct
62 Correct 570 ms 47560 KB Output is correct
63 Correct 733 ms 50604 KB Output is correct
64 Correct 821 ms 50360 KB Output is correct
65 Correct 1006 ms 49932 KB Output is correct
66 Correct 893 ms 46516 KB Output is correct
67 Correct 199 ms 17728 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8080 KB Output is correct
2 Correct 5 ms 8152 KB Output is correct
3 Correct 5 ms 8080 KB Output is correct
4 Correct 6 ms 8148 KB Output is correct
5 Correct 6 ms 8148 KB Output is correct
6 Correct 7 ms 8424 KB Output is correct
7 Correct 8 ms 8376 KB Output is correct
8 Correct 6 ms 8416 KB Output is correct
9 Correct 5 ms 8416 KB Output is correct
10 Correct 7 ms 8420 KB Output is correct
11 Correct 6 ms 8404 KB Output is correct
12 Correct 6 ms 8404 KB Output is correct
13 Correct 8 ms 8356 KB Output is correct
14 Correct 8 ms 8424 KB Output is correct
15 Correct 6 ms 8440 KB Output is correct
16 Correct 6 ms 8408 KB Output is correct
17 Correct 7 ms 8376 KB Output is correct
18 Correct 6 ms 8416 KB Output is correct
19 Correct 8 ms 8364 KB Output is correct
20 Correct 7 ms 8404 KB Output is correct
21 Correct 5 ms 8148 KB Output is correct
22 Correct 5 ms 8404 KB Output is correct
23 Correct 6 ms 8404 KB Output is correct
24 Correct 8 ms 8404 KB Output is correct
25 Correct 6 ms 8416 KB Output is correct
26 Correct 7 ms 8404 KB Output is correct
27 Correct 6 ms 8148 KB Output is correct
28 Correct 6 ms 8404 KB Output is correct
29 Correct 6 ms 8404 KB Output is correct
30 Correct 7 ms 8404 KB Output is correct
31 Correct 1467 ms 49964 KB Output is correct
32 Correct 109 ms 15260 KB Output is correct
33 Correct 1175 ms 44076 KB Output is correct
34 Correct 1485 ms 48752 KB Output is correct
35 Correct 1389 ms 47328 KB Output is correct
36 Correct 1124 ms 44252 KB Output is correct
37 Correct 777 ms 43816 KB Output is correct
38 Correct 679 ms 41864 KB Output is correct
39 Correct 568 ms 42408 KB Output is correct
40 Correct 578 ms 41832 KB Output is correct
41 Correct 1046 ms 45836 KB Output is correct
42 Correct 987 ms 47544 KB Output is correct
43 Correct 85 ms 16120 KB Output is correct
44 Correct 1062 ms 45756 KB Output is correct
45 Correct 1079 ms 45080 KB Output is correct
46 Correct 980 ms 43144 KB Output is correct
47 Correct 454 ms 43456 KB Output is correct
48 Correct 499 ms 45488 KB Output is correct
49 Correct 660 ms 46708 KB Output is correct
50 Correct 622 ms 46984 KB Output is correct
51 Correct 634 ms 45756 KB Output is correct
52 Correct 4428 ms 282712 KB Output is correct
53 Correct 3454 ms 260844 KB Output is correct
54 Correct 1926 ms 255812 KB Output is correct
55 Correct 3920 ms 279372 KB Output is correct
56 Correct 3038 ms 251264 KB Output is correct
57 Correct 3255 ms 253528 KB Output is correct
58 Correct 1953 ms 260192 KB Output is correct
59 Correct 3860 ms 277824 KB Output is correct
60 Correct 4550 ms 283000 KB Output is correct
61 Correct 4360 ms 282108 KB Output is correct
62 Correct 3523 ms 264900 KB Output is correct
63 Correct 3877 ms 264704 KB Output is correct
64 Execution timed out 5082 ms 282244 KB Time limit exceeded
65 Halted 0 ms 0 KB -