oj.uz

Submission #334709

# Submission time Handle Problem Language Result Execution time Memory
334709 2020-12-09T20:53:54 Z 12tqian Long Mansion (JOI17_long_mansion) C++17
100 / 100
 1006 ms 92768 KB 
#include <bits/stdc++.h>
const int INF = 1e9;

template <class T> struct MinSegTree {
    const T ID = INF;
    T comb(T a, T b) {
        return std::min(a, b);
    }
    int n;
    std::vector<T> seg;
    void init(int _n) {
        n = _n;
        seg.assign(2 * n, ID);
    }
    void pull(int p) {
        seg[p] = comb(seg[2 * p], seg[2 * p + 1]);
    }
    void upd(int p, T val) {
        seg[p += n] = val;
        for (p /= 2; p; p /= 2) pull(p);
    }
    void add(int p, T val) {
        seg[p += n] += val;
        for (p /= 2; p; p /= 2) pull(p);
    }
    T query(int l, int r) {
        if (l > r) return ID;
        T ra = ID, rb = ID;
        for (l += n, r += n + 1; l < r; l /= 2, r /= 2) {
            if (l & 1) ra = comb(ra, seg[l++]);
            if (r & 1) rb = comb(seg[--r], rb);
        }
        return comb(ra, rb);
    }
};


int main() {
    using namespace std;
    ios_base::sync_with_stdio(0);

    int n; cin >> n;

    vector<int> c(n);
    c.back() = -1;

    for (int i = 0; i < n - 1; i++)
        cin >> c[i], c[i]--;

    vector<vector<int>> a(n);
    vector<int> b(n);
    for (int i = 0; i < n; i++) {
        cin >> b[i];
        a[i].resize(b[i]);
        for (int j = 0; j < b[i]; j++)
            cin >> a[i][j], a[i][j]--;
    }

    int q; cin >> q;
    vector<array<int, 2>> queries(q);
    for (int i = 0 ; i< q; i++) {
        cin >> queries[i][0] >> queries[i][1];
        queries[i][0]--, queries[i][1]--;
    }

    vector<int> ans(q);

    auto solve = [&]() {
        vector<int> L(n), R(n);
        vector<vector<int>> loc(n);
        for (int i = 0; i < n; i++) 
            for (int j = 0; j < b[i]; j++) 
                loc[a[i][j]].push_back(i);

        L.back() = -1;
        R.back() = n;

        for (int i = 0; i < n - 1; i++) {
            auto it = lower_bound(loc[c[i]].begin(), loc[c[i]].end(), i + 1);
            if (it == loc[c[i]].end()) R[i] = n;
            else R[i] = *it;

            it = upper_bound(loc[c[i]].begin(), loc[c[i]].end(), i);
            if (it == loc[c[i]].begin()) L[i] = -1;
            else L[i] = *prev(it);
        }

        vector<int> go_left(n);
        vector<vector<int>> rem(n);

        for (int i = 0; i < n; i++) {
            int right = n;
            if (i) right = R[i - 1];
            if (right < n) rem[right].push_back(i);
        }

        MinSegTree<int> mst;
        mst.init(n);

        for (int i = 0; i < n; i++)
            mst.upd(i, n);

        for (int i = 0; i < n; i++) {
            mst.upd(i, i);
            for (int r : rem[i]) 
                mst.upd(r, n);
            go_left[i] = mst.query(L[i] + 1, i);
        }  

        MinSegTree<int> seg;
        seg.init(n);

        for (int i = 0; i < n; i++)
            seg.upd(i, go_left[i]);
        for (int i = 0; i < q; i++) {
            if (queries[i][0] < queries[i][1]) {
                int l = queries[i][0];
                int r = queries[i][1];
                if (seg.query(l, r - 1) <= l) 
                    ans[i] = 0;
                else 
                    ans[i] = 1;
            }
        }
    };

    solve();

    reverse(a.begin(), a.end());
    c.pop_back();
    reverse(c.begin(), c.end());
    c.push_back(-1);
    reverse(b.begin(), b.end());

    for (int i = 0; i < q; i++) {
        queries[i][0] = n - 1 - queries[i][0];
        queries[i][1] = n - 1 - queries[i][1];
    }

    solve();

    for (int i = 0; i < q; i++)
        cout << (ans[i] ? "YES" : "NO") << '\n';
    
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 864 KB Output is correct
2 Correct 7 ms 1004 KB Output is correct
3 Correct 8 ms 1344 KB Output is correct
4 Correct 5 ms 876 KB Output is correct
5 Correct 5 ms 876 KB Output is correct
6 Correct 5 ms 876 KB Output is correct
7 Correct 4 ms 876 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 864 KB Output is correct
2 Correct 7 ms 1004 KB Output is correct
3 Correct 8 ms 1344 KB Output is correct
4 Correct 5 ms 876 KB Output is correct
5 Correct 5 ms 876 KB Output is correct
6 Correct 5 ms 876 KB Output is correct
7 Correct 4 ms 876 KB Output is correct
8 Correct 193 ms 8788 KB Output is correct
9 Correct 193 ms 8792 KB Output is correct
10 Correct 194 ms 9068 KB Output is correct
11 Correct 199 ms 9424 KB Output is correct
12 Correct 177 ms 8812 KB Output is correct
13 Correct 157 ms 8940 KB Output is correct
14 Correct 159 ms 9068 KB Output is correct
15 Correct 163 ms 9068 KB Output is correct
16 Correct 168 ms 9196 KB Output is correct
17 Correct 149 ms 8940 KB Output is correct
18 Correct 162 ms 8940 KB Output is correct
19 Correct 163 ms 8960 KB Output is correct
20 Correct 166 ms 9196 KB Output is correct
21 Correct 168 ms 9196 KB Output is correct
22 Correct 168 ms 9068 KB Output is correct
23 Correct 154 ms 8940 KB Output is correct
24 Correct 152 ms 8812 KB Output is correct
25 Correct 152 ms 8812 KB Output is correct
26 Correct 148 ms 8812 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 392 ms 26080 KB Output is correct
2 Correct 392 ms 31352 KB Output is correct
3 Correct 387 ms 31584 KB Output is correct
4 Correct 388 ms 31148 KB Output is correct
5 Correct 397 ms 29676 KB Output is correct
6 Correct 305 ms 29292 KB Output is correct
7 Correct 331 ms 31700 KB Output is correct
8 Correct 334 ms 29780 KB Output is correct
9 Correct 330 ms 29780 KB Output is correct
10 Correct 334 ms 29908 KB Output is correct
11 Correct 332 ms 29780 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 864 KB Output is correct
2 Correct 7 ms 1004 KB Output is correct
3 Correct 8 ms 1344 KB Output is correct
4 Correct 5 ms 876 KB Output is correct
5 Correct 5 ms 876 KB Output is correct
6 Correct 5 ms 876 KB Output is correct
7 Correct 4 ms 876 KB Output is correct
8 Correct 193 ms 8788 KB Output is correct
9 Correct 193 ms 8792 KB Output is correct
10 Correct 194 ms 9068 KB Output is correct
11 Correct 199 ms 9424 KB Output is correct
12 Correct 177 ms 8812 KB Output is correct
13 Correct 157 ms 8940 KB Output is correct
14 Correct 159 ms 9068 KB Output is correct
15 Correct 163 ms 9068 KB Output is correct
16 Correct 168 ms 9196 KB Output is correct
17 Correct 149 ms 8940 KB Output is correct
18 Correct 162 ms 8940 KB Output is correct
19 Correct 163 ms 8960 KB Output is correct
20 Correct 166 ms 9196 KB Output is correct
21 Correct 168 ms 9196 KB Output is correct
22 Correct 168 ms 9068 KB Output is correct
23 Correct 154 ms 8940 KB Output is correct
24 Correct 152 ms 8812 KB Output is correct
25 Correct 152 ms 8812 KB Output is correct
26 Correct 148 ms 8812 KB Output is correct
27 Correct 392 ms 26080 KB Output is correct
28 Correct 392 ms 31352 KB Output is correct
29 Correct 387 ms 31584 KB Output is correct
30 Correct 388 ms 31148 KB Output is correct
31 Correct 397 ms 29676 KB Output is correct
32 Correct 305 ms 29292 KB Output is correct
33 Correct 331 ms 31700 KB Output is correct
34 Correct 334 ms 29780 KB Output is correct
35 Correct 330 ms 29780 KB Output is correct
36 Correct 334 ms 29908 KB Output is correct
37 Correct 332 ms 29780 KB Output is correct
38 Correct 925 ms 77516 KB Output is correct
39 Correct 1006 ms 90912 KB Output is correct
40 Correct 738 ms 60652 KB Output is correct
41 Correct 916 ms 92768 KB Output is correct
42 Correct 300 ms 29420 KB Output is correct
43 Correct 303 ms 29676 KB Output is correct
44 Correct 495 ms 48632 KB Output is correct
45 Correct 500 ms 48696 KB Output is correct
46 Correct 515 ms 49096 KB Output is correct
47 Correct 346 ms 30060 KB Output is correct
48 Correct 331 ms 29548 KB Output is correct
49 Correct 498 ms 46828 KB Output is correct
50 Correct 521 ms 46892 KB Output is correct
51 Correct 568 ms 47468 KB Output is correct
52 Correct 410 ms 47188 KB Output is correct
53 Correct 539 ms 64672 KB Output is correct
54 Correct 652 ms 82036 KB Output is correct
55 Correct 542 ms 62964 KB Output is correct