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Submission #717643

# Submission time Handle Problem Language Result Execution time Memory
717643 2023-04-02T10:08:14 Z adrilen Event Hopping (BOI22_events) C++17
100 / 100
 299 ms 18460 KB 
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
typedef pair<int, int> pii;
constexpr int maxn = 1e5, bits = 17, siz = (1 << bits);

pii segtree[siz * 2];

void update(int val, int p,  int pos)
{
    while (pos != 0)
    {
        if (val < segtree[pos].first) segtree[pos] = pii(val, p);
        pos /= 2;
    }
}

pii query(int pos, int l, int r, int gl, int gr)
{
    if (l > gr || gl > r) return pii(1e9, 0);
    if (gl <= l && r <= gr) return segtree[pos];

    int mid = (l + r) >> 1;
    return min(query(pos * 2, l, mid, gl, gr), query(pos * 2 + 1, mid + 1, r, gl, gr));
}

struct ev {
    int s, e;
} ;


int dist[bits][maxn] = { 0 };
vector <ev> events;

int find_dist(int goal, int p, int last)
{
    if (p == last) return -2e9;
    for (int i = bits - 1; i >= 0; i--)
    {
        if (events[dist[i][p]].s <= events[goal].e) continue;
        return find_dist(goal, dist[i][p], p) + (1 << i);
    }
    return 0;
}


int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    int n, q;
    cin >> n >> q;
    
    events.assign(n, ev{0, 0});

    int next_num = 0;
    map <int, int> num_map;
    for (ev &e : events) {
        cin >> e.s >> e.e;
        num_map[e.e] = 0;
    }

    for (auto &p : num_map) p.second = next_num++;

    for (ev &e : events) {
        e.e = num_map[e.e];
        e.s = (*num_map.lower_bound(e.s)).second;

        // cout << e.s << " " << e.e << "\n";
    }

    for (int i = 1; i <= next_num + siz; i++) segtree[i].first = 1e9;

    // for (int i = 1; i < siz + n; i++) 
    // {
    //     if (__builtin_popcount(i) == 1) cout << "\n";
    //     cout << segtree[i].first << " ";
    // }

    for (int i = 0; i < n; i++)
    {
        update(events[i].s, i, events[i].e + siz);
        //segtree[events[i].e] = min(segtree[events[i].e], pii(events[i].s, i));
    }

    // for (int i = 1; i < siz + n; i++) 
    // {
    //     if (__builtin_popcount(i) == 1) cout << "\n";
    //     cout << segtree[i].first << " " << segtree[i].second << "\t";
    // }

    // cout << "\n";

    for (int i = 0; i < n; i++)
    {
        dist[0][i] = query(1, 0, siz - 1, events[i].s, events[i].e).second;
        // cout << dist[0][i] << "\n";
    }

    // cerr << "output\n";

    for (int y = 1; y < bits; y++) 
    {
        for (int i = 0; i < n; i++) {
            dist[y][i] = dist[y - 1][dist[y - 1][i]];
        }
    }

    int a, b, val;
    while (q--)
    {
        cin >> a >> b;
        a--, b--;

        if (a == b)
        {
            cout << "0\n";
            continue;
        }

        if (events[a].e > events[b].e) {
            cout << "impossible\n";
            continue;
        }
        
        if (events[a].e >= events[b].s) {
            cerr << "fast ";
            cout << "1\n";
            continue;
        }

        val = find_dist(a, b, -1);
        if (val < 0) cout << "impossible\n";
        else {
            cout << val + 2 << "\n";
        }
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1364 KB Output is correct
2 Correct 153 ms 17968 KB Output is correct
3 Correct 192 ms 17960 KB Output is correct
4 Correct 205 ms 17900 KB Output is correct
5 Correct 170 ms 17948 KB Output is correct
6 Correct 161 ms 17996 KB Output is correct
7 Correct 173 ms 18048 KB Output is correct
8 Correct 154 ms 18356 KB Output is correct
9 Correct 131 ms 18380 KB Output is correct
10 Correct 167 ms 18224 KB Output is correct
11 Correct 146 ms 18352 KB Output is correct
12 Correct 85 ms 14956 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1364 KB Output is correct
2 Correct 1 ms 1356 KB Output is correct
3 Correct 2 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 2 ms 1480 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 2 ms 1492 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1364 KB Output is correct
2 Correct 1 ms 1356 KB Output is correct
3 Correct 2 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 2 ms 1480 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 2 ms 1492 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1348 KB Output is correct
11 Correct 1 ms 1364 KB Output is correct
12 Correct 2 ms 1508 KB Output is correct
13 Correct 2 ms 1488 KB Output is correct
14 Correct 2 ms 1488 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 1 ms 1488 KB Output is correct
19 Correct 50 ms 3444 KB Output is correct
20 Correct 38 ms 3564 KB Output is correct
21 Correct 35 ms 3716 KB Output is correct
22 Correct 57 ms 3788 KB Output is correct
23 Correct 101 ms 3932 KB Output is correct
24 Correct 150 ms 3988 KB Output is correct
25 Correct 33 ms 3404 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1364 KB Output is correct
2 Correct 1 ms 1356 KB Output is correct
3 Correct 2 ms 1492 KB Output is correct
4 Correct 2 ms 1492 KB Output is correct
5 Correct 2 ms 1480 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 2 ms 1492 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1364 KB Output is correct
11 Correct 1 ms 1364 KB Output is correct
12 Correct 2 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 3 ms 1492 KB Output is correct
17 Correct 2 ms 1492 KB Output is correct
18 Correct 1 ms 1492 KB Output is correct
19 Correct 127 ms 16184 KB Output is correct
20 Correct 116 ms 15400 KB Output is correct
21 Correct 112 ms 13288 KB Output is correct
22 Correct 150 ms 16104 KB Output is correct
23 Correct 118 ms 16328 KB Output is correct
24 Correct 134 ms 16084 KB Output is correct
25 Correct 36 ms 9940 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 164 ms 18000 KB Output is correct
2 Correct 164 ms 17932 KB Output is correct
3 Correct 247 ms 17900 KB Output is correct
4 Correct 128 ms 18388 KB Output is correct
5 Correct 197 ms 18328 KB Output is correct
6 Correct 242 ms 18084 KB Output is correct
7 Correct 206 ms 18048 KB Output is correct
8 Correct 167 ms 18172 KB Output is correct
9 Correct 149 ms 16140 KB Output is correct
10 Correct 184 ms 17616 KB Output is correct
11 Correct 185 ms 17436 KB Output is correct
12 Correct 241 ms 17720 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1364 KB Output is correct
2 Correct 153 ms 17968 KB Output is correct
3 Correct 192 ms 17960 KB Output is correct
4 Correct 205 ms 17900 KB Output is correct
5 Correct 170 ms 17948 KB Output is correct
6 Correct 161 ms 17996 KB Output is correct
7 Correct 173 ms 18048 KB Output is correct
8 Correct 154 ms 18356 KB Output is correct
9 Correct 131 ms 18380 KB Output is correct
10 Correct 167 ms 18224 KB Output is correct
11 Correct 146 ms 18352 KB Output is correct
12 Correct 85 ms 14956 KB Output is correct
13 Correct 1 ms 1364 KB Output is correct
14 Correct 1 ms 1356 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 2 ms 1480 KB Output is correct
18 Correct 2 ms 1492 KB Output is correct
19 Correct 2 ms 1492 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 1 ms 1492 KB Output is correct
22 Correct 1 ms 1348 KB Output is correct
23 Correct 1 ms 1364 KB Output is correct
24 Correct 2 ms 1508 KB Output is correct
25 Correct 2 ms 1488 KB Output is correct
26 Correct 2 ms 1488 KB Output is correct
27 Correct 2 ms 1492 KB Output is correct
28 Correct 2 ms 1492 KB Output is correct
29 Correct 2 ms 1492 KB Output is correct
30 Correct 1 ms 1488 KB Output is correct
31 Correct 50 ms 3444 KB Output is correct
32 Correct 38 ms 3564 KB Output is correct
33 Correct 35 ms 3716 KB Output is correct
34 Correct 57 ms 3788 KB Output is correct
35 Correct 101 ms 3932 KB Output is correct
36 Correct 150 ms 3988 KB Output is correct
37 Correct 33 ms 3404 KB Output is correct
38 Correct 1 ms 1364 KB Output is correct
39 Correct 1 ms 1364 KB Output is correct
40 Correct 2 ms 1492 KB Output is correct
41 Correct 2 ms 1492 KB Output is correct
42 Correct 2 ms 1492 KB Output is correct
43 Correct 2 ms 1492 KB Output is correct
44 Correct 3 ms 1492 KB Output is correct
45 Correct 2 ms 1492 KB Output is correct
46 Correct 1 ms 1492 KB Output is correct
47 Correct 127 ms 16184 KB Output is correct
48 Correct 116 ms 15400 KB Output is correct
49 Correct 112 ms 13288 KB Output is correct
50 Correct 150 ms 16104 KB Output is correct
51 Correct 118 ms 16328 KB Output is correct
52 Correct 134 ms 16084 KB Output is correct
53 Correct 36 ms 9940 KB Output is correct
54 Correct 164 ms 18000 KB Output is correct
55 Correct 164 ms 17932 KB Output is correct
56 Correct 247 ms 17900 KB Output is correct
57 Correct 128 ms 18388 KB Output is correct
58 Correct 197 ms 18328 KB Output is correct
59 Correct 242 ms 18084 KB Output is correct
60 Correct 206 ms 18048 KB Output is correct
61 Correct 167 ms 18172 KB Output is correct
62 Correct 149 ms 16140 KB Output is correct
63 Correct 184 ms 17616 KB Output is correct
64 Correct 185 ms 17436 KB Output is correct
65 Correct 241 ms 17720 KB Output is correct
66 Correct 1 ms 1364 KB Output is correct
67 Correct 144 ms 17944 KB Output is correct
68 Correct 180 ms 17952 KB Output is correct
69 Correct 194 ms 17880 KB Output is correct
70 Correct 187 ms 17928 KB Output is correct
71 Correct 175 ms 18080 KB Output is correct
72 Correct 160 ms 18124 KB Output is correct
73 Correct 131 ms 18460 KB Output is correct
74 Correct 145 ms 18396 KB Output is correct
75 Correct 160 ms 18364 KB Output is correct
76 Correct 164 ms 18384 KB Output is correct
77 Correct 80 ms 14980 KB Output is correct
78 Correct 1 ms 1364 KB Output is correct
79 Correct 2 ms 1492 KB Output is correct
80 Correct 2 ms 1496 KB Output is correct
81 Correct 2 ms 1492 KB Output is correct
82 Correct 2 ms 1492 KB Output is correct
83 Correct 2 ms 1492 KB Output is correct
84 Correct 2 ms 1528 KB Output is correct
85 Correct 2 ms 1492 KB Output is correct
86 Correct 37 ms 3552 KB Output is correct
87 Correct 36 ms 3532 KB Output is correct
88 Correct 35 ms 3776 KB Output is correct
89 Correct 61 ms 3796 KB Output is correct
90 Correct 101 ms 3796 KB Output is correct
91 Correct 136 ms 3952 KB Output is correct
92 Correct 31 ms 3404 KB Output is correct
93 Correct 110 ms 16188 KB Output is correct
94 Correct 108 ms 15424 KB Output is correct
95 Correct 116 ms 13292 KB Output is correct
96 Correct 142 ms 16124 KB Output is correct
97 Correct 106 ms 16204 KB Output is correct
98 Correct 136 ms 16192 KB Output is correct
99 Correct 39 ms 10008 KB Output is correct
100 Correct 207 ms 18060 KB Output is correct
101 Correct 175 ms 18072 KB Output is correct
102 Correct 186 ms 18116 KB Output is correct
103 Correct 188 ms 17656 KB Output is correct
104 Correct 163 ms 17452 KB Output is correct
105 Correct 174 ms 17712 KB Output is correct
106 Correct 211 ms 16044 KB Output is correct
107 Correct 163 ms 17356 KB Output is correct
108 Correct 169 ms 15388 KB Output is correct
109 Correct 171 ms 15408 KB Output is correct
110 Correct 243 ms 18152 KB Output is correct
111 Correct 299 ms 18164 KB Output is correct