oj.uz

Submission #380513

# Submission time Handle Problem Language Result Execution time Memory
380513 2021-03-22T06:20:22 Z solaimanope Fireworks (APIO16_fireworks) C++17
100 / 100
 231 ms 53084 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
const int MAXN = 3e5+7;
vector< int >children[MAXN];
int parent[MAXN];
int weight[MAXN];

struct SlopeTrickable {
    priority_queue< LL >slopeChanges;
    LL m, c; ///mx + c is the rightmost line

    void throwSlopesGreaterThan(LL g) {
        while (m > g) {
            ///mx + c = (m-1)x + (x+c)
            m -= 1;
            c += slopeChanges.top();
            slopeChanges.pop();
        }
    }
};

void merge(SlopeTrickable &from, SlopeTrickable &to) {
    if (from.slopeChanges.size() > to.slopeChanges.size())
        swap(from, to);

    while (!from.slopeChanges.empty()) {
        to.slopeChanges.push(from.slopeChanges.top());
        from.slopeChanges.pop();
    }

    to.m += from.m;
    to.c += from.c;
}

SlopeTrickable subtree[MAXN];

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

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

    for (int i = 2; i <= n+m; i++) {
        cin >> parent[i] >> weight[i];
        children[parent[i]].push_back(i);
    }

    for (int i = n+1; i <= n+m; i++) {
        subtree[i].slopeChanges.push(weight[i]);
        subtree[i].slopeChanges.push(weight[i]);
        subtree[i].m = 1;
        subtree[i].c = -weight[i];
    }

    for (int i = n; i > 0; i--) {
        for (int c : children[i]) {
            merge(subtree[c], subtree[i]);
        }
        subtree[i].throwSlopesGreaterThan(1);

        if (i > 1) {
            LL x1 = subtree[i].slopeChanges.top();
            subtree[i].slopeChanges.pop();
            LL x0 = subtree[i].slopeChanges.top();
            subtree[i].slopeChanges.pop();

            subtree[i].slopeChanges.push(x0+weight[i]);
            subtree[i].slopeChanges.push(x1+weight[i]);
            subtree[i].c -= weight[i];
        }
    }

    cout << subtree[1].slopeChanges.top() + subtree[1].c << "\n";

    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21484 KB Output is correct
2 Correct 15 ms 21484 KB Output is correct
3 Correct 14 ms 21484 KB Output is correct
4 Correct 15 ms 21484 KB Output is correct
5 Correct 14 ms 21484 KB Output is correct
6 Correct 15 ms 21484 KB Output is correct
7 Correct 14 ms 21484 KB Output is correct
8 Correct 15 ms 21484 KB Output is correct
9 Correct 15 ms 21484 KB Output is correct
10 Correct 15 ms 21612 KB Output is correct

Subtask #2
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21484 KB Output is correct
2 Correct 15 ms 21484 KB Output is correct
3 Correct 15 ms 21484 KB Output is correct
4 Correct 14 ms 21484 KB Output is correct
5 Correct 16 ms 21484 KB Output is correct
6 Correct 17 ms 21484 KB Output is correct
7 Correct 15 ms 21484 KB Output is correct
8 Correct 15 ms 21484 KB Output is correct
9 Correct 15 ms 21612 KB Output is correct
10 Correct 14 ms 21484 KB Output is correct
11 Correct 14 ms 21484 KB Output is correct
12 Correct 15 ms 21484 KB Output is correct
13 Correct 15 ms 21484 KB Output is correct
14 Correct 15 ms 21612 KB Output is correct
15 Correct 15 ms 21484 KB Output is correct
16 Correct 15 ms 21484 KB Output is correct
17 Correct 14 ms 21484 KB Output is correct
18 Correct 15 ms 21484 KB Output is correct
19 Correct 15 ms 21484 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21484 KB Output is correct
2 Correct 15 ms 21484 KB Output is correct
3 Correct 14 ms 21484 KB Output is correct
4 Correct 15 ms 21484 KB Output is correct
5 Correct 14 ms 21484 KB Output is correct
6 Correct 15 ms 21484 KB Output is correct
7 Correct 14 ms 21484 KB Output is correct
8 Correct 15 ms 21484 KB Output is correct
9 Correct 15 ms 21484 KB Output is correct
10 Correct 15 ms 21612 KB Output is correct
11 Correct 15 ms 21484 KB Output is correct
12 Correct 15 ms 21484 KB Output is correct
13 Correct 15 ms 21484 KB Output is correct
14 Correct 14 ms 21484 KB Output is correct
15 Correct 16 ms 21484 KB Output is correct
16 Correct 17 ms 21484 KB Output is correct
17 Correct 15 ms 21484 KB Output is correct
18 Correct 15 ms 21484 KB Output is correct
19 Correct 15 ms 21612 KB Output is correct
20 Correct 14 ms 21484 KB Output is correct
21 Correct 14 ms 21484 KB Output is correct
22 Correct 15 ms 21484 KB Output is correct
23 Correct 15 ms 21484 KB Output is correct
24 Correct 15 ms 21612 KB Output is correct
25 Correct 15 ms 21484 KB Output is correct
26 Correct 15 ms 21484 KB Output is correct
27 Correct 14 ms 21484 KB Output is correct
28 Correct 15 ms 21484 KB Output is correct
29 Correct 15 ms 21484 KB Output is correct
30 Correct 15 ms 21484 KB Output is correct
31 Correct 18 ms 21612 KB Output is correct
32 Correct 17 ms 21760 KB Output is correct
33 Correct 15 ms 21612 KB Output is correct
34 Correct 16 ms 21740 KB Output is correct
35 Correct 18 ms 21868 KB Output is correct
36 Correct 17 ms 21740 KB Output is correct
37 Correct 17 ms 21868 KB Output is correct
38 Correct 18 ms 21996 KB Output is correct
39 Correct 17 ms 21996 KB Output is correct
40 Correct 16 ms 21740 KB Output is correct
41 Correct 16 ms 21740 KB Output is correct
42 Correct 16 ms 21740 KB Output is correct
43 Correct 17 ms 21740 KB Output is correct
44 Correct 17 ms 21868 KB Output is correct
45 Correct 17 ms 21868 KB Output is correct
46 Correct 20 ms 21996 KB Output is correct
47 Correct 17 ms 21996 KB Output is correct
48 Correct 18 ms 21868 KB Output is correct
49 Correct 17 ms 21948 KB Output is correct
50 Correct 16 ms 21868 KB Output is correct
51 Correct 17 ms 21868 KB Output is correct
52 Correct 19 ms 21868 KB Output is correct
53 Correct 17 ms 21868 KB Output is correct
54 Correct 19 ms 22144 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 21484 KB Output is correct
2 Correct 15 ms 21484 KB Output is correct
3 Correct 14 ms 21484 KB Output is correct
4 Correct 15 ms 21484 KB Output is correct
5 Correct 14 ms 21484 KB Output is correct
6 Correct 15 ms 21484 KB Output is correct
7 Correct 14 ms 21484 KB Output is correct
8 Correct 15 ms 21484 KB Output is correct
9 Correct 15 ms 21484 KB Output is correct
10 Correct 15 ms 21612 KB Output is correct
11 Correct 15 ms 21484 KB Output is correct
12 Correct 15 ms 21484 KB Output is correct
13 Correct 15 ms 21484 KB Output is correct
14 Correct 14 ms 21484 KB Output is correct
15 Correct 16 ms 21484 KB Output is correct
16 Correct 17 ms 21484 KB Output is correct
17 Correct 15 ms 21484 KB Output is correct
18 Correct 15 ms 21484 KB Output is correct
19 Correct 15 ms 21612 KB Output is correct
20 Correct 14 ms 21484 KB Output is correct
21 Correct 14 ms 21484 KB Output is correct
22 Correct 15 ms 21484 KB Output is correct
23 Correct 15 ms 21484 KB Output is correct
24 Correct 15 ms 21612 KB Output is correct
25 Correct 15 ms 21484 KB Output is correct
26 Correct 15 ms 21484 KB Output is correct
27 Correct 14 ms 21484 KB Output is correct
28 Correct 15 ms 21484 KB Output is correct
29 Correct 15 ms 21484 KB Output is correct
30 Correct 15 ms 21484 KB Output is correct
31 Correct 18 ms 21612 KB Output is correct
32 Correct 17 ms 21760 KB Output is correct
33 Correct 15 ms 21612 KB Output is correct
34 Correct 16 ms 21740 KB Output is correct
35 Correct 18 ms 21868 KB Output is correct
36 Correct 17 ms 21740 KB Output is correct
37 Correct 17 ms 21868 KB Output is correct
38 Correct 18 ms 21996 KB Output is correct
39 Correct 17 ms 21996 KB Output is correct
40 Correct 16 ms 21740 KB Output is correct
41 Correct 16 ms 21740 KB Output is correct
42 Correct 16 ms 21740 KB Output is correct
43 Correct 17 ms 21740 KB Output is correct
44 Correct 17 ms 21868 KB Output is correct
45 Correct 17 ms 21868 KB Output is correct
46 Correct 20 ms 21996 KB Output is correct
47 Correct 17 ms 21996 KB Output is correct
48 Correct 18 ms 21868 KB Output is correct
49 Correct 17 ms 21948 KB Output is correct
50 Correct 16 ms 21868 KB Output is correct
51 Correct 17 ms 21868 KB Output is correct
52 Correct 19 ms 21868 KB Output is correct
53 Correct 17 ms 21868 KB Output is correct
54 Correct 19 ms 22144 KB Output is correct
55 Correct 22 ms 22508 KB Output is correct
56 Correct 43 ms 25452 KB Output is correct
57 Correct 74 ms 28140 KB Output is correct
58 Correct 89 ms 29928 KB Output is correct
59 Correct 139 ms 32612 KB Output is correct
60 Correct 156 ms 35432 KB Output is correct
61 Correct 159 ms 37732 KB Output is correct
62 Correct 188 ms 39264 KB Output is correct
63 Correct 219 ms 42584 KB Output is correct
64 Correct 231 ms 43364 KB Output is correct
65 Correct 119 ms 38228 KB Output is correct
66 Correct 115 ms 38124 KB Output is correct
67 Correct 116 ms 38124 KB Output is correct
68 Correct 183 ms 40292 KB Output is correct
69 Correct 195 ms 40208 KB Output is correct
70 Correct 206 ms 40296 KB Output is correct
71 Correct 208 ms 52860 KB Output is correct
72 Correct 212 ms 53084 KB Output is correct
73 Correct 176 ms 49116 KB Output is correct
74 Correct 182 ms 49192 KB Output is correct
75 Correct 215 ms 48224 KB Output is correct
76 Correct 176 ms 48288 KB Output is correct
77 Correct 191 ms 47616 KB Output is correct
78 Correct 202 ms 46820 KB Output is correct
79 Correct 174 ms 46304 KB Output is correct