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Submission #762448

# Submission time Handle Problem Language Result Execution time Memory
762448 2023-06-21T12:05:16 Z zsombor Event Hopping (BOI22_events) C++17
100 / 100
 331 ms 36904 KB 
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;

struct event {
    int s, e, ind;
};

int n, q;
vector <event> ev;
vector <int> new_ind(1e5 + 1);
vector <int> Log(1e5 + 1, 0);
vector <vector <int>> st(2e5, vector<int>(17));
vector <vector <int>> lift(1e5, vector<int>(17));

bool srt(event a, event b) {
    if (a.e < b.e) return true;
    if (a.e > b.e) return false;
    return (a.s < b.s ? true : false);
}

int mini(int a, int b) {
    return (ev[a].s < ev[b].s ? a : b);
}

int range_mini(int l, int r) {
    int j = Log[r - l + 1];
    return mini(st[l][j], st[r - (1 << j) + 1][j]);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int a, b, c, ans;
    cin >> n >> q;
    ev.resize(n);
    for (int i = 0; i < n; i++) {
        cin >> ev[i].s >> ev[i].e;
        ev[i].ind = i + 1;
    }
    sort(ev.begin(), ev.end(), srt);
    for (int i = 0; i < n; i++) new_ind[ev[i].ind] = i;

    for (int i = 2; i <= 1e5; i++) Log[i] = Log[i / 2] + 1;
    for (int i = 0; i < n; i++) st[i][0] = i;
    for (int i = n; i < 2e5; i++) fill(st[i].begin(), st[i].end(), n - 1);
    for (int j = 1; j < 17; j++) {
        for (int i = 0; i < n; i++) {
            st[i][j] = mini(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]);
        }
    }

    for (int i = 0; i < n; i++) {
        a = -1; b = i;
        while (b - a > 1) {
            c = (a + b) / 2;
            (ev[c].e < ev[i].s ? a = c : b = c);
        }
        lift[i][0] = b;
        for (int j = 1; j < 17; j++) {
            a = range_mini(lift[i][j - 1], i);
            lift[i][j] = lift[a][j - 1];
        }
    }

    for (int i = 0; i < q; i++) {
        cin >> a >> b;
        a = new_ind[a];
        b = new_ind[b];
        if (a == b) { cout << "0\n"; continue; }
        if (ev[a].e == ev[b].e) { cout << "1\n"; continue; }
        if (a > b) { cout << "impossible\n"; continue; }
        c = b; ans = 0;
        for (int j = 16; j >= 0; j--) {
            if (lift[c][j] <= a) continue;
            c = lift[c][j];
            c = range_mini(c, b);
            ans += (1 << j);
        }
        ans++;
        if (ans < 1e5) cout << ans << endl;
        else cout << "impossible\n";
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 31572 KB Output is correct
2 Correct 270 ms 36504 KB Output is correct
3 Correct 244 ms 36460 KB Output is correct
4 Correct 286 ms 36492 KB Output is correct
5 Correct 287 ms 36564 KB Output is correct
6 Correct 269 ms 36504 KB Output is correct
7 Correct 262 ms 36516 KB Output is correct
8 Correct 127 ms 36888 KB Output is correct
9 Correct 128 ms 36888 KB Output is correct
10 Correct 205 ms 36844 KB Output is correct
11 Correct 189 ms 34892 KB Output is correct
12 Correct 115 ms 36248 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 31628 KB Output is correct
2 Correct 21 ms 31632 KB Output is correct
3 Correct 24 ms 31572 KB Output is correct
4 Correct 24 ms 31572 KB Output is correct
5 Correct 24 ms 31596 KB Output is correct
6 Correct 23 ms 31584 KB Output is correct
7 Correct 33 ms 31652 KB Output is correct
8 Correct 33 ms 31692 KB Output is correct
9 Correct 24 ms 31660 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 31628 KB Output is correct
2 Correct 21 ms 31632 KB Output is correct
3 Correct 24 ms 31572 KB Output is correct
4 Correct 24 ms 31572 KB Output is correct
5 Correct 24 ms 31596 KB Output is correct
6 Correct 23 ms 31584 KB Output is correct
7 Correct 33 ms 31652 KB Output is correct
8 Correct 33 ms 31692 KB Output is correct
9 Correct 24 ms 31660 KB Output is correct
10 Correct 20 ms 31592 KB Output is correct
11 Correct 20 ms 31536 KB Output is correct
12 Correct 24 ms 31648 KB Output is correct
13 Correct 23 ms 31612 KB Output is correct
14 Correct 24 ms 31552 KB Output is correct
15 Correct 24 ms 31680 KB Output is correct
16 Correct 25 ms 31644 KB Output is correct
17 Correct 31 ms 31576 KB Output is correct
18 Correct 23 ms 31656 KB Output is correct
19 Correct 151 ms 33108 KB Output is correct
20 Correct 152 ms 33200 KB Output is correct
21 Correct 107 ms 33404 KB Output is correct
22 Correct 86 ms 33452 KB Output is correct
23 Correct 129 ms 33464 KB Output is correct
24 Correct 102 ms 33320 KB Output is correct
25 Correct 165 ms 33008 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 31628 KB Output is correct
2 Correct 21 ms 31632 KB Output is correct
3 Correct 24 ms 31572 KB Output is correct
4 Correct 24 ms 31572 KB Output is correct
5 Correct 24 ms 31596 KB Output is correct
6 Correct 23 ms 31584 KB Output is correct
7 Correct 33 ms 31652 KB Output is correct
8 Correct 33 ms 31692 KB Output is correct
9 Correct 24 ms 31660 KB Output is correct
10 Correct 24 ms 31572 KB Output is correct
11 Correct 23 ms 31576 KB Output is correct
12 Correct 24 ms 31660 KB Output is correct
13 Correct 23 ms 31584 KB Output is correct
14 Correct 25 ms 31644 KB Output is correct
15 Correct 31 ms 31660 KB Output is correct
16 Correct 25 ms 31656 KB Output is correct
17 Correct 25 ms 31572 KB Output is correct
18 Correct 32 ms 31644 KB Output is correct
19 Correct 98 ms 34752 KB Output is correct
20 Correct 95 ms 33960 KB Output is correct
21 Correct 100 ms 34652 KB Output is correct
22 Correct 135 ms 34764 KB Output is correct
23 Correct 88 ms 34740 KB Output is correct
24 Correct 122 ms 34740 KB Output is correct
25 Correct 74 ms 34072 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 235 ms 36524 KB Output is correct
2 Correct 287 ms 36428 KB Output is correct
3 Correct 258 ms 36500 KB Output is correct
4 Correct 128 ms 36888 KB Output is correct
5 Correct 227 ms 36876 KB Output is correct
6 Correct 331 ms 36588 KB Output is correct
7 Correct 252 ms 36636 KB Output is correct
8 Correct 202 ms 36744 KB Output is correct
9 Correct 89 ms 33448 KB Output is correct
10 Correct 245 ms 36280 KB Output is correct
11 Correct 217 ms 36044 KB Output is correct
12 Correct 255 ms 36468 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 31572 KB Output is correct
2 Correct 270 ms 36504 KB Output is correct
3 Correct 244 ms 36460 KB Output is correct
4 Correct 286 ms 36492 KB Output is correct
5 Correct 287 ms 36564 KB Output is correct
6 Correct 269 ms 36504 KB Output is correct
7 Correct 262 ms 36516 KB Output is correct
8 Correct 127 ms 36888 KB Output is correct
9 Correct 128 ms 36888 KB Output is correct
10 Correct 205 ms 36844 KB Output is correct
11 Correct 189 ms 34892 KB Output is correct
12 Correct 115 ms 36248 KB Output is correct
13 Correct 22 ms 31628 KB Output is correct
14 Correct 21 ms 31632 KB Output is correct
15 Correct 24 ms 31572 KB Output is correct
16 Correct 24 ms 31572 KB Output is correct
17 Correct 24 ms 31596 KB Output is correct
18 Correct 23 ms 31584 KB Output is correct
19 Correct 33 ms 31652 KB Output is correct
20 Correct 33 ms 31692 KB Output is correct
21 Correct 24 ms 31660 KB Output is correct
22 Correct 20 ms 31592 KB Output is correct
23 Correct 20 ms 31536 KB Output is correct
24 Correct 24 ms 31648 KB Output is correct
25 Correct 23 ms 31612 KB Output is correct
26 Correct 24 ms 31552 KB Output is correct
27 Correct 24 ms 31680 KB Output is correct
28 Correct 25 ms 31644 KB Output is correct
29 Correct 31 ms 31576 KB Output is correct
30 Correct 23 ms 31656 KB Output is correct
31 Correct 151 ms 33108 KB Output is correct
32 Correct 152 ms 33200 KB Output is correct
33 Correct 107 ms 33404 KB Output is correct
34 Correct 86 ms 33452 KB Output is correct
35 Correct 129 ms 33464 KB Output is correct
36 Correct 102 ms 33320 KB Output is correct
37 Correct 165 ms 33008 KB Output is correct
38 Correct 24 ms 31572 KB Output is correct
39 Correct 23 ms 31576 KB Output is correct
40 Correct 24 ms 31660 KB Output is correct
41 Correct 23 ms 31584 KB Output is correct
42 Correct 25 ms 31644 KB Output is correct
43 Correct 31 ms 31660 KB Output is correct
44 Correct 25 ms 31656 KB Output is correct
45 Correct 25 ms 31572 KB Output is correct
46 Correct 32 ms 31644 KB Output is correct
47 Correct 98 ms 34752 KB Output is correct
48 Correct 95 ms 33960 KB Output is correct
49 Correct 100 ms 34652 KB Output is correct
50 Correct 135 ms 34764 KB Output is correct
51 Correct 88 ms 34740 KB Output is correct
52 Correct 122 ms 34740 KB Output is correct
53 Correct 74 ms 34072 KB Output is correct
54 Correct 235 ms 36524 KB Output is correct
55 Correct 287 ms 36428 KB Output is correct
56 Correct 258 ms 36500 KB Output is correct
57 Correct 128 ms 36888 KB Output is correct
58 Correct 227 ms 36876 KB Output is correct
59 Correct 331 ms 36588 KB Output is correct
60 Correct 252 ms 36636 KB Output is correct
61 Correct 202 ms 36744 KB Output is correct
62 Correct 89 ms 33448 KB Output is correct
63 Correct 245 ms 36280 KB Output is correct
64 Correct 217 ms 36044 KB Output is correct
65 Correct 255 ms 36468 KB Output is correct
66 Correct 19 ms 31636 KB Output is correct
67 Correct 232 ms 36496 KB Output is correct
68 Correct 257 ms 36472 KB Output is correct
69 Correct 280 ms 36492 KB Output is correct
70 Correct 249 ms 36496 KB Output is correct
71 Correct 251 ms 36500 KB Output is correct
72 Correct 250 ms 36500 KB Output is correct
73 Correct 133 ms 36904 KB Output is correct
74 Correct 134 ms 36884 KB Output is correct
75 Correct 220 ms 36760 KB Output is correct
76 Correct 189 ms 36888 KB Output is correct
77 Correct 128 ms 36248 KB Output is correct
78 Correct 21 ms 31612 KB Output is correct
79 Correct 31 ms 31572 KB Output is correct
80 Correct 31 ms 31652 KB Output is correct
81 Correct 24 ms 31652 KB Output is correct
82 Correct 25 ms 31572 KB Output is correct
83 Correct 24 ms 31572 KB Output is correct
84 Correct 24 ms 31568 KB Output is correct
85 Correct 42 ms 31636 KB Output is correct
86 Correct 155 ms 33080 KB Output is correct
87 Correct 151 ms 33208 KB Output is correct
88 Correct 111 ms 33336 KB Output is correct
89 Correct 89 ms 33484 KB Output is correct
90 Correct 94 ms 33356 KB Output is correct
91 Correct 128 ms 33320 KB Output is correct
92 Correct 147 ms 32948 KB Output is correct
93 Correct 104 ms 34760 KB Output is correct
94 Correct 94 ms 33956 KB Output is correct
95 Correct 94 ms 34652 KB Output is correct
96 Correct 110 ms 34708 KB Output is correct
97 Correct 88 ms 34740 KB Output is correct
98 Correct 118 ms 34764 KB Output is correct
99 Correct 88 ms 34076 KB Output is correct
100 Correct 248 ms 36556 KB Output is correct
101 Correct 250 ms 36620 KB Output is correct
102 Correct 193 ms 36660 KB Output is correct
103 Correct 272 ms 36236 KB Output is correct
104 Correct 211 ms 36068 KB Output is correct
105 Correct 257 ms 36204 KB Output is correct
106 Correct 204 ms 35944 KB Output is correct
107 Correct 326 ms 35916 KB Output is correct
108 Correct 158 ms 36532 KB Output is correct
109 Correct 168 ms 36548 KB Output is correct
110 Correct 189 ms 36428 KB Output is correct
111 Correct 176 ms 36428 KB Output is correct