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Submission #809198

# Submission time Handle Problem Language Result Execution time Memory
809198 2023-08-05T21:08:07 Z thimote75 Event Hopping (BOI22_events) C++14
100 / 100
 417 ms 37032 KB 
#include <bits/stdc++.h>

using namespace std;

template <typename A, typename B>
string to_string( pair<A, B> p ) {
    return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename T>
string to_string (T x) {
    string S = "[";
    bool first = true;
    for (const auto v : x) {
        if (!first) S += ", ";
        S += to_string(v);
        first = false;
    }
    S += "]";
    return S;
}
string to_string( string s) {
    return s;
}

void dbg_out () { cout << endl; }
template<typename Head, typename... Tail>
void dbg_out(Head H, Tail... T) {
    cout << to_string(H) << " ";
    dbg_out(T...);
}

#ifdef TDEBUG
#  define dbg(...) { cout << "(" << #__VA_ARGS__ << "): "; dbg_out(__VA_ARGS__); }
#else
#  define dbg(...)
#endif

using  Event = pair<int, int>;
using VEvent = vector<Event>;

using  Time = pair<pair<int, int>, pair<int, bool>>;
using VTime = vector<Time>;

using idata = vector<int>;
using igrid = vector<idata>;

struct CNT {
    set<pair<pair<int, int>, int>> m;

    void insert (int index, int left, int right) {
        while (m.size() != 0) {
            auto it = m.end(); it --;
            const auto data = *it;

            if (left <= data.first.second && data.first.first <= right)
                m.erase(data);
            else break ;
        }

        if (m.size() != 0) {
            auto it = m.end(); it --;
            const auto data = *it;

            if (right <= data.first.first && data.first.second <= left) return ;
        }

        m.insert({ {right, left}, index });
        dbg(index, left, right, m);
    }
    int query (int start) {
        dbg(start, m);
        auto it =m.lower_bound({{ start, -1 }, -1});
        if (it == m.end()) return -1;

        return (*it).second;
    }
};

const bool START = true;
const bool END   = false;

VEvent events;
VTime timings;

idata parent;
igrid parent_2k;
const int MAXK = 20;

void initBLF () {
    parent_2k.resize(parent.size(), idata(MAXK, -1));
    for (int i = 0; i < parent.size(); i ++)
        parent_2k[i][0] = parent[i];

    for (int k = 0; k + 1 < MAXK; k ++) {
        for (int i = 0; i < parent.size(); i ++) {
            if (parent_2k[i][k] == -1) continue ;

            parent_2k[i][k + 1] = parent_2k[parent_2k[i][k]][k];
        }
    }
}
pair<int, int> jump (int node, int finalEnd) {
    int count = 0;
    for (int k = MAXK - 1; k >= 0; k --) {
        int pot = parent_2k[node][k];
        if (pot == -1 || events[pot].first <= finalEnd) continue ;

        node = pot;
        count += 1 << k;
    }

    if (events[node].first <= finalEnd) return { node, 0 };

    return { parent[node], count + 1 };
}

map<int, int> compress (idata coordinates) {
    map<int, int> ans;
    set<int> h;
    for (int u : coordinates) h.insert(u);
    int i = 0;
    for (int u : h) ans.insert({ u, i ++ });
    return ans;
}

int main () {
    int N, Q;
    cin >> N >> Q;

    events.resize(N);

    idata coords;

    for (int i = 0; i < N; i ++) {
        int a, b;
        cin >> a >> b;

        events[i] = { a, b };

        coords.push_back(a);
        coords.push_back(b);
    }

    map<int, int> mC = compress(coords);

    for (int i = 0; i < N; i ++) {
        //events[i].first  = (*mC.find(events[i].first )).second;
        //events[i].second = (*mC.find(events[i].second)).second;

        timings.push_back({ { events[i].first,  events[i].first },  { i, START } });
        timings.push_back({ { events[i].second, events[i].first }, { i, END   } });
    }

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

    CNT cnt;
    parent.resize(N);

    for (const auto &timing : timings) {
        int id = timing.second.first;
        bool F = timing.second.second;

        if (F == START) {

        } else {
            parent[id] = cnt.query( events[id].first );
            if (parent[id] != -1 && events[parent[id]].first >= events[id].first)
                parent[id] = -1;

            cnt.insert(id, events[id].first, events[id].second);
        }
    }  

    initBLF();

    for (int q = 0; q < Q; q ++) {
        int a, b;
        cin >> a >> b;
        a --;
        b --;

        if (a == b) {
            cout << "0\n";
            continue ;
        }
        if (events[a].second > events[b].second) {
            cout << "impossible\n";
            continue ;
        }

        pair<int, int> F = jump( b, events[a].second );
        
        if (F.first == -1) cout << "impossible\n";
        else cout << F.second + 1 << "\n";
    }
}

Compilation message

events.cpp: In function 'void initBLF()':
events.cpp:92:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |     for (int i = 0; i < parent.size(); i ++)
      |                     ~~^~~~~~~~~~~~~~~
events.cpp:96:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |         for (int i = 0; i < parent.size(); i ++) {
      |                         ~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB Output is correct
2 Correct 327 ms 28924 KB Output is correct
3 Correct 345 ms 28940 KB Output is correct
4 Correct 376 ms 28916 KB Output is correct
5 Correct 351 ms 28836 KB Output is correct
6 Correct 349 ms 28720 KB Output is correct
7 Correct 344 ms 28672 KB Output is correct
8 Correct 344 ms 30640 KB Output is correct
9 Correct 342 ms 36992 KB Output is correct
10 Correct 346 ms 32068 KB Output is correct
11 Correct 346 ms 31480 KB Output is correct
12 Correct 266 ms 28392 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 2 ms 596 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 564 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 1 ms 468 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 2 ms 596 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 564 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 2 ms 596 KB Output is correct
13 Correct 2 ms 548 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 1 ms 440 KB Output is correct
19 Correct 168 ms 2956 KB Output is correct
20 Correct 167 ms 3128 KB Output is correct
21 Correct 164 ms 3108 KB Output is correct
22 Correct 148 ms 3228 KB Output is correct
23 Correct 149 ms 3256 KB Output is correct
24 Correct 148 ms 3532 KB Output is correct
25 Correct 150 ms 3152 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 2 ms 596 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 2 ms 468 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 2 ms 564 KB Output is correct
8 Correct 2 ms 596 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 2 ms 560 KB Output is correct
13 Correct 2 ms 600 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 568 KB Output is correct
17 Correct 2 ms 596 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 163 ms 29944 KB Output is correct
20 Correct 153 ms 22984 KB Output is correct
21 Correct 150 ms 23756 KB Output is correct
22 Correct 173 ms 29396 KB Output is correct
23 Correct 208 ms 34640 KB Output is correct
24 Correct 208 ms 34608 KB Output is correct
25 Correct 72 ms 18352 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 314 ms 28916 KB Output is correct
2 Correct 328 ms 28888 KB Output is correct
3 Correct 348 ms 28848 KB Output is correct
4 Correct 337 ms 34132 KB Output is correct
5 Correct 345 ms 29276 KB Output is correct
6 Correct 417 ms 33712 KB Output is correct
7 Correct 386 ms 33788 KB Output is correct
8 Correct 359 ms 33916 KB Output is correct
9 Correct 220 ms 33016 KB Output is correct
10 Correct 378 ms 33392 KB Output is correct
11 Correct 356 ms 33132 KB Output is correct
12 Correct 386 ms 33600 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 296 KB Output is correct
2 Correct 327 ms 28924 KB Output is correct
3 Correct 345 ms 28940 KB Output is correct
4 Correct 376 ms 28916 KB Output is correct
5 Correct 351 ms 28836 KB Output is correct
6 Correct 349 ms 28720 KB Output is correct
7 Correct 344 ms 28672 KB Output is correct
8 Correct 344 ms 30640 KB Output is correct
9 Correct 342 ms 36992 KB Output is correct
10 Correct 346 ms 32068 KB Output is correct
11 Correct 346 ms 31480 KB Output is correct
12 Correct 266 ms 28392 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 2 ms 468 KB Output is correct
19 Correct 2 ms 564 KB Output is correct
20 Correct 2 ms 596 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 2 ms 596 KB Output is correct
25 Correct 2 ms 548 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 2 ms 468 KB Output is correct
29 Correct 2 ms 596 KB Output is correct
30 Correct 1 ms 440 KB Output is correct
31 Correct 168 ms 2956 KB Output is correct
32 Correct 167 ms 3128 KB Output is correct
33 Correct 164 ms 3108 KB Output is correct
34 Correct 148 ms 3228 KB Output is correct
35 Correct 149 ms 3256 KB Output is correct
36 Correct 148 ms 3532 KB Output is correct
37 Correct 150 ms 3152 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 2 ms 560 KB Output is correct
41 Correct 2 ms 600 KB Output is correct
42 Correct 2 ms 468 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 2 ms 568 KB Output is correct
45 Correct 2 ms 596 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 163 ms 29944 KB Output is correct
48 Correct 153 ms 22984 KB Output is correct
49 Correct 150 ms 23756 KB Output is correct
50 Correct 173 ms 29396 KB Output is correct
51 Correct 208 ms 34640 KB Output is correct
52 Correct 208 ms 34608 KB Output is correct
53 Correct 72 ms 18352 KB Output is correct
54 Correct 314 ms 28916 KB Output is correct
55 Correct 328 ms 28888 KB Output is correct
56 Correct 348 ms 28848 KB Output is correct
57 Correct 337 ms 34132 KB Output is correct
58 Correct 345 ms 29276 KB Output is correct
59 Correct 417 ms 33712 KB Output is correct
60 Correct 386 ms 33788 KB Output is correct
61 Correct 359 ms 33916 KB Output is correct
62 Correct 220 ms 33016 KB Output is correct
63 Correct 378 ms 33392 KB Output is correct
64 Correct 356 ms 33132 KB Output is correct
65 Correct 386 ms 33600 KB Output is correct
66 Correct 1 ms 212 KB Output is correct
67 Correct 321 ms 31736 KB Output is correct
68 Correct 363 ms 31844 KB Output is correct
69 Correct 362 ms 31736 KB Output is correct
70 Correct 356 ms 31628 KB Output is correct
71 Correct 384 ms 31568 KB Output is correct
72 Correct 387 ms 31508 KB Output is correct
73 Correct 337 ms 30648 KB Output is correct
74 Correct 347 ms 37032 KB Output is correct
75 Correct 362 ms 32120 KB Output is correct
76 Correct 353 ms 31512 KB Output is correct
77 Correct 264 ms 28400 KB Output is correct
78 Correct 0 ms 212 KB Output is correct
79 Correct 2 ms 596 KB Output is correct
80 Correct 2 ms 596 KB Output is correct
81 Correct 2 ms 468 KB Output is correct
82 Correct 2 ms 468 KB Output is correct
83 Correct 2 ms 564 KB Output is correct
84 Correct 3 ms 568 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 154 ms 2936 KB Output is correct
87 Correct 154 ms 3100 KB Output is correct
88 Correct 154 ms 3048 KB Output is correct
89 Correct 148 ms 3148 KB Output is correct
90 Correct 148 ms 3240 KB Output is correct
91 Correct 148 ms 3496 KB Output is correct
92 Correct 158 ms 3224 KB Output is correct
93 Correct 160 ms 30048 KB Output is correct
94 Correct 151 ms 22968 KB Output is correct
95 Correct 144 ms 23724 KB Output is correct
96 Correct 175 ms 29444 KB Output is correct
97 Correct 191 ms 34608 KB Output is correct
98 Correct 227 ms 34708 KB Output is correct
99 Correct 74 ms 18332 KB Output is correct
100 Correct 374 ms 36620 KB Output is correct
101 Correct 385 ms 36636 KB Output is correct
102 Correct 357 ms 36676 KB Output is correct
103 Correct 370 ms 36272 KB Output is correct
104 Correct 351 ms 36016 KB Output is correct
105 Correct 389 ms 36288 KB Output is correct
106 Correct 302 ms 23752 KB Output is correct
107 Correct 343 ms 24852 KB Output is correct
108 Correct 290 ms 25596 KB Output is correct
109 Correct 301 ms 25608 KB Output is correct
110 Correct 341 ms 30172 KB Output is correct
111 Correct 395 ms 30212 KB Output is correct