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Submission #576686

# Submission time Handle Problem Language Result Execution time Memory
576686 2022-06-13T09:19:49 Z InternetPerson10 Event Hopping (BOI22_events) C++17
100 / 100
 785 ms 61152 KB 
#include <bits/stdc++.h>
typedef long long ll;

using namespace std;

set<int> s;
map<int, int> idx;
map<pair<int, int>, int> toEvent;
vector<pair<int, int>> p;
vector<int> mini;
vector<int> mo;
int point[200001][20];

int getPoint(int y2, int mid) {
    for(int i = 0; i < 20; i++) {
        if(mid & (1 << i)) {
            y2 = point[y2][i];
        }
    }
    return y2;
}

struct SegTree {
    int lx, rx;
    int val = 1e9, id = -1;
    SegTree *ls, *rs;
    SegTree(int l, int r) {
        lx = l;
        rx = r;
        if(rx - lx > 1) {
            int mid = (lx + rx) / 2;
            ls = new SegTree(lx, mid);
            rs = new SegTree(mid, rx);
            val = min(ls->val, rs->val);
            if(val == ls->val) id = ls->id;
            if(val == rs->val) id = rs->id;
        }
        else {
            val = mini[lx];
            id = lx;
        }
    }
    pair<int, int> getMin(int l, int r) {
        if(l <= lx && rx <= r) return {val, id};
        if(r <= lx || rx <= l) return {1e9, -1};
        return min(ls->getMin(l, r), rs->getMin(l, r));
    }
};

vector<int> v;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, q;
    cin >> n >> q;
    int g = 1;
    while(g <= 2*n) g *= 2;
    p.resize(n+1);
    mo.resize(n);
    mini.resize(g, 1e9);
    for(int i = 0; i < n; i++) {
        cin >> p[i].first >> p[i].second;
        s.insert(p[i].first);
        s.insert(p[i].second);
    }
    for(int y : s) {
        idx[y] = idx.size();
    }
    for(int i = 0; i < n; i++) {
        p[i].first = idx[p[i].first];
        p[i].second = idx[p[i].second];
        int x, y;
        tie(x, y) = p[i];
        mini[y] = min(mini[y], x);
        toEvent[p[i]] = i;
    }
    for(int i = 0; i < n; i++) {
        mo[i] = toEvent[p[i]];
    }
    pair<int, int> badP = {1e9, -1};
    p[n] = badP;
    toEvent[badP] = n;
    SegTree st(0, g);
    for(int i = 0; i < n; i++) {
        point[i][0] = toEvent[st.getMin(p[i].first, p[i].second + 1)];
        if(point[i][0] == i) point[i][0] = n;
    }
    for(int i = 0; i < 20; i++) {
        point[n][i] = n;
    }
    for(int i = 1; i < 20; i++) {
        for(int j = 0; j < n; j++) {
            point[j][i] = point[point[j][i-1]][i-1];
        }
    }
    while(q--) {
        int x, y;
        cin >> x >> y;
        x--; y--;
        if(x == y) {
            cout << "0\n";
            continue;
        }
        else if(p[x] == p[y]) {
            cout << "1\n";
            continue;
        }
        x = mo[x]; y = mo[y];
        int l = -1, r = n;
        while(l != r - 1) {
            int mid = (l + r + 1) / 2;
            int y2 = getPoint(y, mid);
            if(y2 == n) r = mid;
            else if(p[y2].first <= p[x].second) r = mid;
            else l = mid;
        }
        int y2 = getPoint(y, r);
        if(y2 == n || r == n) {
            cout << "impossible\n";
        }
        else if(!(p[y2].first <= p[x].second && p[x].second <= p[y2].second)) {
            cout << "impossible\n";
        }
        else {
            cout << r+1 << '\n';
        }
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 471 ms 51296 KB Output is correct
3 Correct 536 ms 51316 KB Output is correct
4 Correct 479 ms 51136 KB Output is correct
5 Correct 503 ms 52188 KB Output is correct
6 Correct 488 ms 53084 KB Output is correct
7 Correct 474 ms 53504 KB Output is correct
8 Correct 499 ms 61048 KB Output is correct
9 Correct 479 ms 61068 KB Output is correct
10 Correct 737 ms 51568 KB Output is correct
11 Correct 574 ms 55368 KB Output is correct
12 Correct 219 ms 48576 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 724 KB Output is correct
4 Correct 2 ms 724 KB Output is correct
5 Correct 2 ms 724 KB Output is correct
6 Correct 2 ms 724 KB Output is correct
7 Correct 2 ms 852 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 1 ms 596 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 724 KB Output is correct
4 Correct 2 ms 724 KB Output is correct
5 Correct 2 ms 724 KB Output is correct
6 Correct 2 ms 724 KB Output is correct
7 Correct 2 ms 852 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 2 ms 660 KB Output is correct
13 Correct 2 ms 724 KB Output is correct
14 Correct 2 ms 724 KB Output is correct
15 Correct 3 ms 724 KB Output is correct
16 Correct 3 ms 852 KB Output is correct
17 Correct 2 ms 852 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 80 ms 3764 KB Output is correct
20 Correct 70 ms 3628 KB Output is correct
21 Correct 99 ms 3936 KB Output is correct
22 Correct 68 ms 3880 KB Output is correct
23 Correct 81 ms 4172 KB Output is correct
24 Correct 89 ms 4352 KB Output is correct
25 Correct 70 ms 3972 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 2 ms 724 KB Output is correct
4 Correct 2 ms 724 KB Output is correct
5 Correct 2 ms 724 KB Output is correct
6 Correct 2 ms 724 KB Output is correct
7 Correct 2 ms 852 KB Output is correct
8 Correct 2 ms 852 KB Output is correct
9 Correct 1 ms 596 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 2 ms 724 KB Output is correct
13 Correct 3 ms 724 KB Output is correct
14 Correct 2 ms 724 KB Output is correct
15 Correct 2 ms 724 KB Output is correct
16 Correct 2 ms 852 KB Output is correct
17 Correct 2 ms 852 KB Output is correct
18 Correct 1 ms 596 KB Output is correct
19 Correct 341 ms 50972 KB Output is correct
20 Correct 380 ms 50888 KB Output is correct
21 Correct 320 ms 48816 KB Output is correct
22 Correct 412 ms 54204 KB Output is correct
23 Correct 494 ms 60336 KB Output is correct
24 Correct 496 ms 60012 KB Output is correct
25 Correct 77 ms 34984 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 449 ms 51216 KB Output is correct
2 Correct 486 ms 51192 KB Output is correct
3 Correct 590 ms 51276 KB Output is correct
4 Correct 498 ms 61152 KB Output is correct
5 Correct 661 ms 51504 KB Output is correct
6 Correct 785 ms 60748 KB Output is correct
7 Correct 744 ms 60756 KB Output is correct
8 Correct 663 ms 60872 KB Output is correct
9 Correct 439 ms 59940 KB Output is correct
10 Correct 612 ms 60408 KB Output is correct
11 Correct 611 ms 60196 KB Output is correct
12 Correct 591 ms 60480 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 471 ms 51296 KB Output is correct
3 Correct 536 ms 51316 KB Output is correct
4 Correct 479 ms 51136 KB Output is correct
5 Correct 503 ms 52188 KB Output is correct
6 Correct 488 ms 53084 KB Output is correct
7 Correct 474 ms 53504 KB Output is correct
8 Correct 499 ms 61048 KB Output is correct
9 Correct 479 ms 61068 KB Output is correct
10 Correct 737 ms 51568 KB Output is correct
11 Correct 574 ms 55368 KB Output is correct
12 Correct 219 ms 48576 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 724 KB Output is correct
16 Correct 2 ms 724 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 724 KB Output is correct
19 Correct 2 ms 852 KB Output is correct
20 Correct 2 ms 852 KB Output is correct
21 Correct 1 ms 596 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 2 ms 660 KB Output is correct
25 Correct 2 ms 724 KB Output is correct
26 Correct 2 ms 724 KB Output is correct
27 Correct 3 ms 724 KB Output is correct
28 Correct 3 ms 852 KB Output is correct
29 Correct 2 ms 852 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 80 ms 3764 KB Output is correct
32 Correct 70 ms 3628 KB Output is correct
33 Correct 99 ms 3936 KB Output is correct
34 Correct 68 ms 3880 KB Output is correct
35 Correct 81 ms 4172 KB Output is correct
36 Correct 89 ms 4352 KB Output is correct
37 Correct 70 ms 3972 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 2 ms 724 KB Output is correct
41 Correct 3 ms 724 KB Output is correct
42 Correct 2 ms 724 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
45 Correct 2 ms 852 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 341 ms 50972 KB Output is correct
48 Correct 380 ms 50888 KB Output is correct
49 Correct 320 ms 48816 KB Output is correct
50 Correct 412 ms 54204 KB Output is correct
51 Correct 494 ms 60336 KB Output is correct
52 Correct 496 ms 60012 KB Output is correct
53 Correct 77 ms 34984 KB Output is correct
54 Correct 449 ms 51216 KB Output is correct
55 Correct 486 ms 51192 KB Output is correct
56 Correct 590 ms 51276 KB Output is correct
57 Correct 498 ms 61152 KB Output is correct
58 Correct 661 ms 51504 KB Output is correct
59 Correct 785 ms 60748 KB Output is correct
60 Correct 744 ms 60756 KB Output is correct
61 Correct 663 ms 60872 KB Output is correct
62 Correct 439 ms 59940 KB Output is correct
63 Correct 612 ms 60408 KB Output is correct
64 Correct 611 ms 60196 KB Output is correct
65 Correct 591 ms 60480 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 411 ms 51156 KB Output is correct
68 Correct 448 ms 51128 KB Output is correct
69 Correct 530 ms 51212 KB Output is correct
70 Correct 547 ms 52128 KB Output is correct
71 Correct 571 ms 53116 KB Output is correct
72 Correct 532 ms 53340 KB Output is correct
73 Correct 471 ms 61124 KB Output is correct
74 Correct 481 ms 61120 KB Output is correct
75 Correct 721 ms 51620 KB Output is correct
76 Correct 557 ms 55408 KB Output is correct
77 Correct 230 ms 48560 KB Output is correct
78 Correct 0 ms 212 KB Output is correct
79 Correct 1 ms 724 KB Output is correct
80 Correct 2 ms 724 KB Output is correct
81 Correct 2 ms 724 KB Output is correct
82 Correct 2 ms 636 KB Output is correct
83 Correct 3 ms 852 KB Output is correct
84 Correct 3 ms 872 KB Output is correct
85 Correct 2 ms 596 KB Output is correct
86 Correct 81 ms 3748 KB Output is correct
87 Correct 67 ms 3620 KB Output is correct
88 Correct 97 ms 3884 KB Output is correct
89 Correct 66 ms 3804 KB Output is correct
90 Correct 74 ms 4172 KB Output is correct
91 Correct 75 ms 4228 KB Output is correct
92 Correct 72 ms 3916 KB Output is correct
93 Correct 358 ms 50728 KB Output is correct
94 Correct 333 ms 50544 KB Output is correct
95 Correct 341 ms 48744 KB Output is correct
96 Correct 351 ms 54112 KB Output is correct
97 Correct 463 ms 59984 KB Output is correct
98 Correct 503 ms 60024 KB Output is correct
99 Correct 57 ms 34976 KB Output is correct
100 Correct 761 ms 60836 KB Output is correct
101 Correct 654 ms 60652 KB Output is correct
102 Correct 596 ms 61008 KB Output is correct
103 Correct 571 ms 60432 KB Output is correct
104 Correct 573 ms 60156 KB Output is correct
105 Correct 625 ms 60416 KB Output is correct
106 Correct 563 ms 48912 KB Output is correct
107 Correct 693 ms 51460 KB Output is correct
108 Correct 434 ms 49584 KB Output is correct
109 Correct 376 ms 49552 KB Output is correct
110 Correct 599 ms 60640 KB Output is correct
111 Correct 631 ms 60604 KB Output is correct