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Submission #597493

# Submission time Handle Problem Language Result Execution time Memory
597493 2022-07-16T07:11:11 Z yanndev Event Hopping (BOI22_events) C++17
100 / 100
 219 ms 30264 KB 
    #include <bits/stdc++.h>
    #define int long long
    #define fi first
    #define se second
    using namespace std;

    struct Inter {
        int rl;
        int rr;
        int id;
        bool operator<(const Inter& other) const {
            if (rr != other.rr)
                return rr < other.rr;
            if (rl != other.rl)
                return rl < other.rl;
            return id < other.id;
        }
    };

    const int MX_N = 1e5 + 42;
    const int TREE_SIZE = (int)1 << 19;

    int rl[MX_N];
    int rr[MX_N];
    int jump[20][MX_N];
    int tree[2 * TREE_SIZE + 42];

    void insert(int idx, int val, bool force = false) {
        idx += TREE_SIZE;
        if ((force) || (rl[val] < rl[tree[idx]]))
            tree[idx] = val;
        for (int i = idx / 2; i > 0; i /= 2) {
            if (rl[tree[2 * i]] < rl[tree[2 * i + 1]])
                tree[i] = tree[2 * i];
            else
                tree[i] = tree[2 * i + 1];
        }
    }

    int query(int left, int right) {
        left += TREE_SIZE;
        right += TREE_SIZE;

        int mnVal = 1e9;
        int id = -1;
        while (left <= right) {
            if (left % 2 == 1) {
                int newId = tree[left];
                if (rl[newId] < mnVal) {
                    mnVal = rl[newId];
                    id = newId;
                }
                left++;
            }

            if (right % 2 == 0) {
                int newId = tree[right];
                if (rl[newId] < mnVal) {
                    mnVal = rl[newId];
                    id = newId;
                }
                right--;
            }

            left /= 2;
            right /= 2;
        }

        return id;
    }

    signed main() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
        
        int n, q;
        cin >> n >> q;

        vector<Inter> ranges {};
        vector<int> vals {};

        for (int i = 0; i < n; i++) {
            cin >> rl[i] >> rr[i];
            vals.push_back(rl[i]);
            vals.push_back(rr[i]);
        }

        sort(vals.begin(), vals.end());
        vals.resize(unique(vals.begin(), vals.end()) - vals.begin());
        
        for (int i = 0; i < n; i++) {
            rl[i] = lower_bound(vals.begin(), vals.end(), rl[i]) - vals.begin();
            rr[i] = lower_bound(vals.begin(), vals.end(), rr[i]) - vals.begin();
            ranges.push_back({rl[i], rr[i], i});
        }

        rl[n] = rr[n] = 1e9 + 42;
        for (int i = 0; i < (int)vals.size(); i++)
            insert(i, n, true);

        sort(ranges.begin(), ranges.end());
        for (int i = 0; i < n; i++) {
            //cout << "doing range " << ranges[i].id << ' ' << ranges[i].rl << ' ' << ranges[i].rr << '\n';
            jump[0][ranges[i].id] = query(ranges[i].rl, ranges[i].rr);
            //cout << "query is " << jump[0][ranges[i].id] << '\n';
            if (jump[0][ranges[i].id] == -1)
                jump[0][ranges[i].id] = ranges[i].id;

            //cout << "inserting at " << ranges[i].rr << '\n';
            insert(ranges[i].rr, ranges[i].id);
            //cout << "val at pos " << query(ranges[i].rr, ranges[i].rr) << '\n';
        }
        
        for (int i = 1; i <= 19; i++)
            for (int j = 0; j < n; j++)
                jump[i][j] = jump[i - 1][jump[i - 1][j]];

        for (int i = 0; i < q; i++) {
            int s, e;
            cin >> s >> e;
            s--, e--;

            if (s == e) {
                cout << "0\n";
                continue;
            }

            if (rl[e] <= rr[s] && rr[s] <= rr[e]) {
                cout << "1\n";
                continue;
            }

            if (rl[s] > rl[e]) {
                cout << "impossible\n";
                continue;
            }

            int ans = 0;

            //cout << "start has " << rl[s] << ' ' << rr[s] << '\n';
            //cout << "bef jump left is " << rl[e] << " right is " << rr[e] << '\n';

            for (int bit = 19; bit >= 0; bit--) {
                int nxt = jump[bit][e];
                if (rl[nxt] > rr[s]) {
                    //cout << "nxt has " << rl[nxt] << ' ' << rr[nxt] << '\n';
                    //cout << "jumping of " << (1 << bit) << '\n';
                    ans += (1 << bit);
                    e = nxt;
                }
            }

            //cout << "preans " << ans << '\n';
            //cout << "bef end left is " << rl[e] << " right is " << rr[e] << '\n';

            ans++;
            e = jump[0][e];
            //cout << "last jump left is " << rl[e] << " right is " << rr[e] << '\n';
            if (rl[e] <= rr[s] && rr[s] <= rr[e]) {
                cout << ans + 1 << '\n';
            } else {
                cout << "impossible\n";
            }
        }
    }

    /*

    7 1
    1 2
    3 4
    1 5
    6 7
    5 10
    10 20
    15 20
    1 6

    */

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 113 ms 26476 KB Output is correct
3 Correct 134 ms 26704 KB Output is correct
4 Correct 219 ms 26896 KB Output is correct
5 Correct 145 ms 26968 KB Output is correct
6 Correct 143 ms 27080 KB Output is correct
7 Correct 155 ms 27264 KB Output is correct
8 Correct 177 ms 28936 KB Output is correct
9 Correct 156 ms 28856 KB Output is correct
10 Correct 150 ms 27180 KB Output is correct
11 Correct 189 ms 27740 KB Output is correct
12 Correct 95 ms 27928 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 468 KB Output is correct
3 Correct 1 ms 764 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 764 KB Output is correct
9 Correct 1 ms 724 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 468 KB Output is correct
3 Correct 1 ms 764 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 764 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 1 ms 760 KB Output is correct
13 Correct 1 ms 724 KB Output is correct
14 Correct 1 ms 724 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 764 KB Output is correct
17 Correct 1 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 43 ms 3332 KB Output is correct
20 Correct 40 ms 3432 KB Output is correct
21 Correct 38 ms 3532 KB Output is correct
22 Correct 31 ms 3660 KB Output is correct
23 Correct 25 ms 3564 KB Output is correct
24 Correct 21 ms 3560 KB Output is correct
25 Correct 30 ms 3148 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 0 ms 468 KB Output is correct
3 Correct 1 ms 764 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 1 ms 724 KB Output is correct
6 Correct 1 ms 724 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 1 ms 764 KB Output is correct
9 Correct 1 ms 724 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 1 ms 724 KB Output is correct
13 Correct 2 ms 724 KB Output is correct
14 Correct 2 ms 764 KB Output is correct
15 Correct 1 ms 724 KB Output is correct
16 Correct 1 ms 724 KB Output is correct
17 Correct 2 ms 760 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 88 ms 26488 KB Output is correct
20 Correct 84 ms 25656 KB Output is correct
21 Correct 96 ms 26192 KB Output is correct
22 Correct 111 ms 26876 KB Output is correct
23 Correct 112 ms 27916 KB Output is correct
24 Correct 111 ms 28048 KB Output is correct
25 Correct 48 ms 24192 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 25208 KB Output is correct
2 Correct 140 ms 25348 KB Output is correct
3 Correct 204 ms 25216 KB Output is correct
4 Correct 158 ms 27220 KB Output is correct
5 Correct 171 ms 26828 KB Output is correct
6 Correct 184 ms 28172 KB Output is correct
7 Correct 176 ms 28432 KB Output is correct
8 Correct 162 ms 28732 KB Output is correct
9 Correct 110 ms 27648 KB Output is correct
10 Correct 157 ms 28060 KB Output is correct
11 Correct 158 ms 27892 KB Output is correct
12 Correct 152 ms 28096 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB Output is correct
2 Correct 113 ms 26476 KB Output is correct
3 Correct 134 ms 26704 KB Output is correct
4 Correct 219 ms 26896 KB Output is correct
5 Correct 145 ms 26968 KB Output is correct
6 Correct 143 ms 27080 KB Output is correct
7 Correct 155 ms 27264 KB Output is correct
8 Correct 177 ms 28936 KB Output is correct
9 Correct 156 ms 28856 KB Output is correct
10 Correct 150 ms 27180 KB Output is correct
11 Correct 189 ms 27740 KB Output is correct
12 Correct 95 ms 27928 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 1 ms 764 KB Output is correct
16 Correct 1 ms 768 KB Output is correct
17 Correct 1 ms 724 KB Output is correct
18 Correct 1 ms 724 KB Output is correct
19 Correct 1 ms 724 KB Output is correct
20 Correct 1 ms 764 KB Output is correct
21 Correct 1 ms 724 KB Output is correct
22 Correct 0 ms 468 KB Output is correct
23 Correct 0 ms 468 KB Output is correct
24 Correct 1 ms 760 KB Output is correct
25 Correct 1 ms 724 KB Output is correct
26 Correct 1 ms 724 KB Output is correct
27 Correct 1 ms 724 KB Output is correct
28 Correct 1 ms 764 KB Output is correct
29 Correct 1 ms 724 KB Output is correct
30 Correct 1 ms 724 KB Output is correct
31 Correct 43 ms 3332 KB Output is correct
32 Correct 40 ms 3432 KB Output is correct
33 Correct 38 ms 3532 KB Output is correct
34 Correct 31 ms 3660 KB Output is correct
35 Correct 25 ms 3564 KB Output is correct
36 Correct 21 ms 3560 KB Output is correct
37 Correct 30 ms 3148 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 0 ms 468 KB Output is correct
40 Correct 1 ms 724 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 2 ms 764 KB Output is correct
43 Correct 1 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 2 ms 760 KB Output is correct
46 Correct 1 ms 724 KB Output is correct
47 Correct 88 ms 26488 KB Output is correct
48 Correct 84 ms 25656 KB Output is correct
49 Correct 96 ms 26192 KB Output is correct
50 Correct 111 ms 26876 KB Output is correct
51 Correct 112 ms 27916 KB Output is correct
52 Correct 111 ms 28048 KB Output is correct
53 Correct 48 ms 24192 KB Output is correct
54 Correct 116 ms 25208 KB Output is correct
55 Correct 140 ms 25348 KB Output is correct
56 Correct 204 ms 25216 KB Output is correct
57 Correct 158 ms 27220 KB Output is correct
58 Correct 171 ms 26828 KB Output is correct
59 Correct 184 ms 28172 KB Output is correct
60 Correct 176 ms 28432 KB Output is correct
61 Correct 162 ms 28732 KB Output is correct
62 Correct 110 ms 27648 KB Output is correct
63 Correct 157 ms 28060 KB Output is correct
64 Correct 158 ms 27892 KB Output is correct
65 Correct 152 ms 28096 KB Output is correct
66 Correct 0 ms 468 KB Output is correct
67 Correct 115 ms 28240 KB Output is correct
68 Correct 148 ms 28232 KB Output is correct
69 Correct 200 ms 28200 KB Output is correct
70 Correct 146 ms 28488 KB Output is correct
71 Correct 144 ms 28596 KB Output is correct
72 Correct 178 ms 28744 KB Output is correct
73 Correct 161 ms 30224 KB Output is correct
74 Correct 164 ms 30264 KB Output is correct
75 Correct 159 ms 28628 KB Output is correct
76 Correct 152 ms 29300 KB Output is correct
77 Correct 71 ms 27936 KB Output is correct
78 Correct 0 ms 468 KB Output is correct
79 Correct 1 ms 724 KB Output is correct
80 Correct 1 ms 760 KB Output is correct
81 Correct 1 ms 724 KB Output is correct
82 Correct 1 ms 724 KB Output is correct
83 Correct 2 ms 724 KB Output is correct
84 Correct 1 ms 724 KB Output is correct
85 Correct 1 ms 724 KB Output is correct
86 Correct 31 ms 3256 KB Output is correct
87 Correct 43 ms 3276 KB Output is correct
88 Correct 36 ms 3568 KB Output is correct
89 Correct 31 ms 3676 KB Output is correct
90 Correct 25 ms 3536 KB Output is correct
91 Correct 22 ms 3532 KB Output is correct
92 Correct 33 ms 3128 KB Output is correct
93 Correct 88 ms 26440 KB Output is correct
94 Correct 89 ms 25712 KB Output is correct
95 Correct 98 ms 26396 KB Output is correct
96 Correct 92 ms 27068 KB Output is correct
97 Correct 111 ms 28020 KB Output is correct
98 Correct 116 ms 28088 KB Output is correct
99 Correct 51 ms 24236 KB Output is correct
100 Correct 168 ms 29920 KB Output is correct
101 Correct 170 ms 29992 KB Output is correct
102 Correct 162 ms 30008 KB Output is correct
103 Correct 151 ms 29496 KB Output is correct
104 Correct 147 ms 29328 KB Output is correct
105 Correct 170 ms 29616 KB Output is correct
106 Correct 185 ms 27320 KB Output is correct
107 Correct 183 ms 27748 KB Output is correct
108 Correct 175 ms 28352 KB Output is correct
109 Correct 153 ms 28320 KB Output is correct
110 Correct 160 ms 29804 KB Output is correct
111 Correct 164 ms 29884 KB Output is correct