oj.uz

Submission #172003

# Submission time Handle Problem Language Result Execution time Memory
172003 2019-12-30T18:47:53 Z rama_pang Fireworks (APIO16_fireworks) C++14
100 / 100
 233 ms 51124 KB 
#include <bits/stdc++.h>
using namespace std;
using lint = long long;

struct Node {
    lint a, b; // y = ax + b, for large x where x >= slope.top()
    priority_queue<lint> *slope; // point-slope container

    Node() : a(0), b(0) {
        slope = new priority_queue<lint>();
    }

    Node& operator+=(Node o) {
        a += o.a;
        b += o.b;

        if (slope->size() < o.slope->size()) {
            swap(slope, o.slope);
        }

        while (!o.slope->empty()) {
            slope->emplace(o.slope->top());
            o.slope->pop();
        }

        return *this;
    }

    lint balance(int n = 1) {
        while (a > n) {
            a--; // ax + b = a(x - 1) + (b + x)
            b += slope->top();
            slope->pop();
        }
        return b;
    }

};

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);

    int n, m;
    cin >> n >> m;

    vector<int> p(n + m, -1), c(n + m, 0);
    for (int i = 1; i < n + m; i++) {
        cin >> p[i] >> c[i];
        p[i]--;
    }

    vector<Node> tree(n + m);
    for (int i = n + m - 1; i >= n; i--) {
        tree[i].a = 1;
        tree[i].b = -c[i];
        tree[i].slope->emplace(c[i]); // between slope -1 and 0
        tree[i].slope->emplace(c[i]); // between slope 0 and 1
        tree[p[i]] += tree[i];
    }

    for (int i = n - 1; i > 0; i--) {
        tree[i].balance();

        lint top1 = tree[i].slope->top();
        tree[i].slope->pop();
        lint top2 = tree[i].slope->top();
        tree[i].slope->pop();

        tree[i].slope->emplace(top1 + c[i]); // shift slope 1 by c[i]
        tree[i].slope->emplace(top2 + c[i]); // shift slope 0 by c[i]

        tree[i].b -= c[i]; // shift line to right by c[i]
        tree[p[i]] += tree[i];
    }

    cout << tree[0].balance(0) << "\n";
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 372 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 372 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 504 KB Output is correct
32 Correct 3 ms 504 KB Output is correct
33 Correct 3 ms 648 KB Output is correct
34 Correct 3 ms 712 KB Output is correct
35 Correct 4 ms 732 KB Output is correct
36 Correct 5 ms 888 KB Output is correct
37 Correct 4 ms 888 KB Output is correct
38 Correct 5 ms 1020 KB Output is correct
39 Correct 8 ms 1016 KB Output is correct
40 Correct 4 ms 760 KB Output is correct
41 Correct 4 ms 760 KB Output is correct
42 Correct 4 ms 760 KB Output is correct
43 Correct 5 ms 888 KB Output is correct
44 Correct 5 ms 888 KB Output is correct
45 Correct 6 ms 888 KB Output is correct
46 Correct 5 ms 1144 KB Output is correct
47 Correct 5 ms 1144 KB Output is correct
48 Correct 5 ms 1016 KB Output is correct
49 Correct 5 ms 1160 KB Output is correct
50 Correct 4 ms 1016 KB Output is correct
51 Correct 4 ms 888 KB Output is correct
52 Correct 5 ms 1016 KB Output is correct
53 Correct 5 ms 1016 KB Output is correct
54 Correct 5 ms 1016 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 372 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 504 KB Output is correct
32 Correct 3 ms 504 KB Output is correct
33 Correct 3 ms 648 KB Output is correct
34 Correct 3 ms 712 KB Output is correct
35 Correct 4 ms 732 KB Output is correct
36 Correct 5 ms 888 KB Output is correct
37 Correct 4 ms 888 KB Output is correct
38 Correct 5 ms 1020 KB Output is correct
39 Correct 8 ms 1016 KB Output is correct
40 Correct 4 ms 760 KB Output is correct
41 Correct 4 ms 760 KB Output is correct
42 Correct 4 ms 760 KB Output is correct
43 Correct 5 ms 888 KB Output is correct
44 Correct 5 ms 888 KB Output is correct
45 Correct 6 ms 888 KB Output is correct
46 Correct 5 ms 1144 KB Output is correct
47 Correct 5 ms 1144 KB Output is correct
48 Correct 5 ms 1016 KB Output is correct
49 Correct 5 ms 1160 KB Output is correct
50 Correct 4 ms 1016 KB Output is correct
51 Correct 4 ms 888 KB Output is correct
52 Correct 5 ms 1016 KB Output is correct
53 Correct 5 ms 1016 KB Output is correct
54 Correct 5 ms 1016 KB Output is correct
55 Correct 9 ms 2040 KB Output is correct
56 Correct 32 ms 7032 KB Output is correct
57 Correct 55 ms 11356 KB Output is correct
58 Correct 70 ms 14412 KB Output is correct
59 Correct 102 ms 19108 KB Output is correct
60 Correct 124 ms 23624 KB Output is correct
61 Correct 142 ms 27092 KB Output is correct
62 Correct 159 ms 29716 KB Output is correct
63 Correct 208 ms 35376 KB Output is correct
64 Correct 208 ms 37104 KB Output is correct
65 Correct 113 ms 28760 KB Output is correct
66 Correct 114 ms 28776 KB Output is correct
67 Correct 114 ms 28792 KB Output is correct
68 Correct 178 ms 35568 KB Output is correct
69 Correct 193 ms 36208 KB Output is correct
70 Correct 192 ms 36140 KB Output is correct
71 Correct 233 ms 50948 KB Output is correct
72 Correct 232 ms 51124 KB Output is correct
73 Correct 209 ms 47500 KB Output is correct
74 Correct 212 ms 48136 KB Output is correct
75 Correct 218 ms 46392 KB Output is correct
76 Correct 207 ms 46312 KB Output is correct
77 Correct 217 ms 45412 KB Output is correct
78 Correct 221 ms 45004 KB Output is correct
79 Correct 204 ms 43832 KB Output is correct