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Submission #653797

# Submission time Handle Problem Language Result Execution time Memory
653797 2022-10-28T09:22:39 Z AlperenT Event Hopping (BOI22_events) C++17
100 / 100
 356 ms 30020 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 1e5 + 5, K = 20, INF = 1e9 + 5;

int n, q, binlift[N][K], s, e, ans;

struct Event{
    int l, r;

    bool operator < (const Event &sc) const{
        if(r == sc.r) return l < sc.l;
        else return r < sc.r;
    }
};

Event events[N];

vector<pair<Event, int>> vec;

struct SegTree{
    pair<int, int> tree[N * 8];

    SegTree(){
        fill(tree, tree + N * 8, pair{INF, 0});
    }

    void update(int pos, pair<int, int> val, int v = 1, int l = 1, int r = 2 * N - 1){
        if(l == r) tree[v] = min(tree[v], val);
        else{
            int m = l + (r - l) / 2;

            if(pos <= m) update(pos, val, v * 2, l, m);
            else update(pos, val, v * 2 + 1, m + 1, r);

            tree[v] = min(tree[v * 2], tree[v * 2 + 1]);
        }
    }

    pair<int, int> query(int l, int r, int v = 1, int tl = 1, int tr = 2 * N - 1){
        if(l > r) return {INF, 0};
        else if(l == tl && r == tr) return tree[v];
        else{
            int tm = tl + (tr - tl) / 2;

            return min(query(l, min(tm, r), v * 2, tl, tm), query(max(l, tm + 1), r, v * 2 + 1, tm + 1, tr));
        }
    }
};

SegTree sgt;

map<int, int> cmprs;

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

    cin >> n >> q;

    for(int i = 1; i <= n; i++){
        cin >> events[i].l >> events[i].r;

        cmprs[events[i].l] = cmprs[events[i].r] = 1;
    }

    int tmp = 0;

    for(auto &p : cmprs) p.second = ++tmp;

    for(int i = 1; i <= n; i++){
        events[i].l = cmprs[events[i].l];
        events[i].r = cmprs[events[i].r];

        vec.push_back({events[i], i});
    }

    sort(vec.begin(), vec.end());

    for(auto p : vec){
        Event cur = p.first;

        binlift[p.second][0] = sgt.query(cur.l, cur.r).second;

        sgt.update(cur.r, {cur.l, p.second});
    }

    for(int k = 1; k < K; k++){
        for(int i = 1; i <= n; i++){
            binlift[i][k] = binlift[binlift[i][k - 1]][k - 1];
        }
    }

    while(q--){
        cin >> s >> e;

        ans = 0;

        for(int k = K - 1; k >= 0; k--){
            if(binlift[e][k] != 0 && events[binlift[e][k]].l > events[s].r){
                e = binlift[e][k];
                ans += 1 << k;
            }
        }

        if(s == e) cout << ans << "\n";
        else if(events[s].r >= events[e].l && events[s].r <= events[e].r) cout << ans + 1 << "\n";
        else{
            e = binlift[e][0], ans++;

            if(e == 0) cout << "impossible\n";
            else{
                if(s == e) cout << ans << "\n";
                else if(events[s].r >= events[e].l && events[s].r <= events[e].r) cout << ans + 1 << "\n";
                else cout << "impossible\n";
            }
        }
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6484 KB Output is correct
2 Correct 221 ms 21692 KB Output is correct
3 Correct 198 ms 21700 KB Output is correct
4 Correct 228 ms 21760 KB Output is correct
5 Correct 242 ms 22252 KB Output is correct
6 Correct 209 ms 22728 KB Output is correct
7 Correct 246 ms 22852 KB Output is correct
8 Correct 240 ms 26968 KB Output is correct
9 Correct 225 ms 26944 KB Output is correct
10 Correct 244 ms 22052 KB Output is correct
11 Correct 226 ms 24164 KB Output is correct
12 Correct 122 ms 22236 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6484 KB Output is correct
2 Correct 4 ms 6484 KB Output is correct
3 Correct 5 ms 6740 KB Output is correct
4 Correct 4 ms 6640 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 5 ms 6740 KB Output is correct
7 Correct 5 ms 6724 KB Output is correct
8 Correct 5 ms 6724 KB Output is correct
9 Correct 4 ms 6600 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6484 KB Output is correct
2 Correct 4 ms 6484 KB Output is correct
3 Correct 5 ms 6740 KB Output is correct
4 Correct 4 ms 6640 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 5 ms 6740 KB Output is correct
7 Correct 5 ms 6724 KB Output is correct
8 Correct 5 ms 6724 KB Output is correct
9 Correct 4 ms 6600 KB Output is correct
10 Correct 4 ms 6584 KB Output is correct
11 Correct 4 ms 6484 KB Output is correct
12 Correct 5 ms 6688 KB Output is correct
13 Correct 6 ms 6728 KB Output is correct
14 Correct 5 ms 6740 KB Output is correct
15 Correct 5 ms 6728 KB Output is correct
16 Correct 5 ms 6724 KB Output is correct
17 Correct 6 ms 6740 KB Output is correct
18 Correct 4 ms 6720 KB Output is correct
19 Correct 44 ms 8844 KB Output is correct
20 Correct 37 ms 8908 KB Output is correct
21 Correct 39 ms 9148 KB Output is correct
22 Correct 32 ms 9220 KB Output is correct
23 Correct 34 ms 9288 KB Output is correct
24 Correct 35 ms 9216 KB Output is correct
25 Correct 35 ms 8908 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6484 KB Output is correct
2 Correct 4 ms 6484 KB Output is correct
3 Correct 5 ms 6740 KB Output is correct
4 Correct 4 ms 6640 KB Output is correct
5 Correct 5 ms 6740 KB Output is correct
6 Correct 5 ms 6740 KB Output is correct
7 Correct 5 ms 6724 KB Output is correct
8 Correct 5 ms 6724 KB Output is correct
9 Correct 4 ms 6600 KB Output is correct
10 Correct 4 ms 6484 KB Output is correct
11 Correct 4 ms 6484 KB Output is correct
12 Correct 5 ms 6728 KB Output is correct
13 Correct 5 ms 6740 KB Output is correct
14 Correct 5 ms 6740 KB Output is correct
15 Correct 6 ms 6740 KB Output is correct
16 Correct 6 ms 6812 KB Output is correct
17 Correct 5 ms 6740 KB Output is correct
18 Correct 5 ms 6612 KB Output is correct
19 Correct 176 ms 23120 KB Output is correct
20 Correct 188 ms 22272 KB Output is correct
21 Correct 169 ms 22912 KB Output is correct
22 Correct 199 ms 24768 KB Output is correct
23 Correct 238 ms 27760 KB Output is correct
24 Correct 245 ms 27740 KB Output is correct
25 Correct 61 ms 17684 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 185 ms 21792 KB Output is correct
2 Correct 189 ms 21728 KB Output is correct
3 Correct 214 ms 21752 KB Output is correct
4 Correct 230 ms 27056 KB Output is correct
5 Correct 222 ms 22080 KB Output is correct
6 Correct 356 ms 26600 KB Output is correct
7 Correct 282 ms 26520 KB Output is correct
8 Correct 306 ms 26764 KB Output is correct
9 Correct 228 ms 25868 KB Output is correct
10 Correct 284 ms 26224 KB Output is correct
11 Correct 274 ms 26048 KB Output is correct
12 Correct 338 ms 26176 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 6484 KB Output is correct
2 Correct 221 ms 21692 KB Output is correct
3 Correct 198 ms 21700 KB Output is correct
4 Correct 228 ms 21760 KB Output is correct
5 Correct 242 ms 22252 KB Output is correct
6 Correct 209 ms 22728 KB Output is correct
7 Correct 246 ms 22852 KB Output is correct
8 Correct 240 ms 26968 KB Output is correct
9 Correct 225 ms 26944 KB Output is correct
10 Correct 244 ms 22052 KB Output is correct
11 Correct 226 ms 24164 KB Output is correct
12 Correct 122 ms 22236 KB Output is correct
13 Correct 4 ms 6484 KB Output is correct
14 Correct 4 ms 6484 KB Output is correct
15 Correct 5 ms 6740 KB Output is correct
16 Correct 4 ms 6640 KB Output is correct
17 Correct 5 ms 6740 KB Output is correct
18 Correct 5 ms 6740 KB Output is correct
19 Correct 5 ms 6724 KB Output is correct
20 Correct 5 ms 6724 KB Output is correct
21 Correct 4 ms 6600 KB Output is correct
22 Correct 4 ms 6584 KB Output is correct
23 Correct 4 ms 6484 KB Output is correct
24 Correct 5 ms 6688 KB Output is correct
25 Correct 6 ms 6728 KB Output is correct
26 Correct 5 ms 6740 KB Output is correct
27 Correct 5 ms 6728 KB Output is correct
28 Correct 5 ms 6724 KB Output is correct
29 Correct 6 ms 6740 KB Output is correct
30 Correct 4 ms 6720 KB Output is correct
31 Correct 44 ms 8844 KB Output is correct
32 Correct 37 ms 8908 KB Output is correct
33 Correct 39 ms 9148 KB Output is correct
34 Correct 32 ms 9220 KB Output is correct
35 Correct 34 ms 9288 KB Output is correct
36 Correct 35 ms 9216 KB Output is correct
37 Correct 35 ms 8908 KB Output is correct
38 Correct 4 ms 6484 KB Output is correct
39 Correct 4 ms 6484 KB Output is correct
40 Correct 5 ms 6728 KB Output is correct
41 Correct 5 ms 6740 KB Output is correct
42 Correct 5 ms 6740 KB Output is correct
43 Correct 6 ms 6740 KB Output is correct
44 Correct 6 ms 6812 KB Output is correct
45 Correct 5 ms 6740 KB Output is correct
46 Correct 5 ms 6612 KB Output is correct
47 Correct 176 ms 23120 KB Output is correct
48 Correct 188 ms 22272 KB Output is correct
49 Correct 169 ms 22912 KB Output is correct
50 Correct 199 ms 24768 KB Output is correct
51 Correct 238 ms 27760 KB Output is correct
52 Correct 245 ms 27740 KB Output is correct
53 Correct 61 ms 17684 KB Output is correct
54 Correct 185 ms 21792 KB Output is correct
55 Correct 189 ms 21728 KB Output is correct
56 Correct 214 ms 21752 KB Output is correct
57 Correct 230 ms 27056 KB Output is correct
58 Correct 222 ms 22080 KB Output is correct
59 Correct 356 ms 26600 KB Output is correct
60 Correct 282 ms 26520 KB Output is correct
61 Correct 306 ms 26764 KB Output is correct
62 Correct 228 ms 25868 KB Output is correct
63 Correct 284 ms 26224 KB Output is correct
64 Correct 274 ms 26048 KB Output is correct
65 Correct 338 ms 26176 KB Output is correct
66 Correct 4 ms 6484 KB Output is correct
67 Correct 204 ms 24856 KB Output is correct
68 Correct 243 ms 24892 KB Output is correct
69 Correct 216 ms 24836 KB Output is correct
70 Correct 190 ms 25392 KB Output is correct
71 Correct 204 ms 25812 KB Output is correct
72 Correct 224 ms 25944 KB Output is correct
73 Correct 217 ms 30020 KB Output is correct
74 Correct 248 ms 29996 KB Output is correct
75 Correct 209 ms 25156 KB Output is correct
76 Correct 235 ms 27176 KB Output is correct
77 Correct 152 ms 24628 KB Output is correct
78 Correct 4 ms 6484 KB Output is correct
79 Correct 5 ms 6740 KB Output is correct
80 Correct 5 ms 6740 KB Output is correct
81 Correct 4 ms 6740 KB Output is correct
82 Correct 4 ms 6740 KB Output is correct
83 Correct 6 ms 6740 KB Output is correct
84 Correct 5 ms 6724 KB Output is correct
85 Correct 5 ms 6612 KB Output is correct
86 Correct 36 ms 8924 KB Output is correct
87 Correct 35 ms 8840 KB Output is correct
88 Correct 41 ms 9248 KB Output is correct
89 Correct 35 ms 9132 KB Output is correct
90 Correct 34 ms 9312 KB Output is correct
91 Correct 35 ms 9240 KB Output is correct
92 Correct 43 ms 8944 KB Output is correct
93 Correct 190 ms 23172 KB Output is correct
94 Correct 177 ms 22280 KB Output is correct
95 Correct 178 ms 22988 KB Output is correct
96 Correct 189 ms 24820 KB Output is correct
97 Correct 257 ms 27708 KB Output is correct
98 Correct 221 ms 27716 KB Output is correct
99 Correct 76 ms 17756 KB Output is correct
100 Correct 337 ms 29732 KB Output is correct
101 Correct 320 ms 29688 KB Output is correct
102 Correct 314 ms 29868 KB Output is correct
103 Correct 302 ms 29324 KB Output is correct
104 Correct 325 ms 29224 KB Output is correct
105 Correct 290 ms 29340 KB Output is correct
106 Correct 241 ms 23044 KB Output is correct
107 Correct 237 ms 24256 KB Output is correct
108 Correct 229 ms 24896 KB Output is correct
109 Correct 224 ms 24928 KB Output is correct
110 Correct 284 ms 29624 KB Output is correct
111 Correct 328 ms 29556 KB Output is correct