Submission #934644

# Submission time Handle Problem Language Result Execution time Memory
934644 2024-02-27T18:30:23 Z LaviniaTornaghi Fireworks (APIO16_fireworks) C++14
100 / 100
332 ms 61524 KB
#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;

#define int i64

typedef long long i64;
typedef __gnu_pbds::priority_queue<i64> pairing_heap;

signed main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL);
    int N, M; cin >> N >> M;

    vector<vector<int>> adj(N);
    vector<int> t(N + M);

    for (int i = 1; i < N + M; i++) {
        int p; cin >> p >> t[i];
        adj[p - 1].push_back(i);
    }

    auto dfs = [&](auto &&dfs, int node) {
        pairing_heap q;
        if (node >= N) {
            q.push(t[node]);
            q.push(t[node]);
            return q;
        }

        for (auto child: adj[node]) {
            pairing_heap cq = dfs(dfs, child);
            q.join(cq);
        }
        for (int i = 0; i < adj[node].size() - 1; i++) q.pop();

        i64 x1 = q.top(); q.pop();
        i64 x0 = q.top(); q.pop();

        q.push(x0 + t[node]);
        q.push(x1 + t[node]);

        return q;
    };

    pairing_heap q = dfs(dfs, 0);
    vector<i64> slope_changes;
    while (!q.empty()) {
        int x = q.top(); q.pop();
        slope_changes.push_back(x);
    }
    
    reverse(slope_changes.begin(), slope_changes.end());
    int curr_slope = 1 - (int)slope_changes.size();
    i64 last_point = 0;
    i64 curr_value = accumulate(t.begin(), t.end(), 0LL);
    i64 best_value = curr_value;

    for (auto x: slope_changes) {
        curr_value += curr_slope * (x - last_point);
        best_value = min(best_value, curr_value);

        last_point = x;
        curr_slope++;
    }

    cout << best_value << '\n';
}

Compilation message

fireworks.cpp: In instantiation of 'main()::<lambda(auto:1&&, i64)> [with auto:1 = main()::<lambda(auto:1&&, i64)>&; i64 = long long int]':
fireworks.cpp:46:32:   required from here
fireworks.cpp:35:27: warning: comparison of integer expressions of different signedness: 'i64' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |         for (int i = 0; i < adj[node].size() - 1; i++) q.pop();
      |                         ~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 2 ms 604 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 2 ms 860 KB Output is correct
40 Correct 2 ms 1372 KB Output is correct
41 Correct 2 ms 1236 KB Output is correct
42 Correct 2 ms 640 KB Output is correct
43 Correct 2 ms 1312 KB Output is correct
44 Correct 2 ms 892 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 720 KB Output is correct
47 Correct 2 ms 836 KB Output is correct
48 Correct 2 ms 920 KB Output is correct
49 Correct 2 ms 860 KB Output is correct
50 Correct 2 ms 776 KB Output is correct
51 Correct 2 ms 860 KB Output is correct
52 Correct 2 ms 944 KB Output is correct
53 Correct 2 ms 860 KB Output is correct
54 Correct 2 ms 1116 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 1 ms 604 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 2 ms 604 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 2 ms 860 KB Output is correct
40 Correct 2 ms 1372 KB Output is correct
41 Correct 2 ms 1236 KB Output is correct
42 Correct 2 ms 640 KB Output is correct
43 Correct 2 ms 1312 KB Output is correct
44 Correct 2 ms 892 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 720 KB Output is correct
47 Correct 2 ms 836 KB Output is correct
48 Correct 2 ms 920 KB Output is correct
49 Correct 2 ms 860 KB Output is correct
50 Correct 2 ms 776 KB Output is correct
51 Correct 2 ms 860 KB Output is correct
52 Correct 2 ms 944 KB Output is correct
53 Correct 2 ms 860 KB Output is correct
54 Correct 2 ms 1116 KB Output is correct
55 Correct 5 ms 1372 KB Output is correct
56 Correct 23 ms 4684 KB Output is correct
57 Correct 28 ms 7248 KB Output is correct
58 Correct 37 ms 9168 KB Output is correct
59 Correct 48 ms 11984 KB Output is correct
60 Correct 61 ms 14800 KB Output is correct
61 Correct 74 ms 17168 KB Output is correct
62 Correct 91 ms 18704 KB Output is correct
63 Correct 99 ms 22184 KB Output is correct
64 Correct 109 ms 23248 KB Output is correct
65 Correct 91 ms 61524 KB Output is correct
66 Correct 89 ms 61468 KB Output is correct
67 Correct 75 ms 24148 KB Output is correct
68 Correct 114 ms 43720 KB Output is correct
69 Correct 131 ms 41312 KB Output is correct
70 Correct 133 ms 41164 KB Output is correct
71 Correct 153 ms 29788 KB Output is correct
72 Correct 154 ms 28716 KB Output is correct
73 Correct 162 ms 29632 KB Output is correct
74 Correct 162 ms 28992 KB Output is correct
75 Correct 167 ms 29160 KB Output is correct
76 Correct 161 ms 28528 KB Output is correct
77 Correct 180 ms 28744 KB Output is correct
78 Correct 194 ms 29844 KB Output is correct
79 Correct 332 ms 45460 KB Output is correct